thin-shell wormholes from the regular haywardregular black hole seminar
TRANSCRIPT
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
[mao-smcdd wnrjmndcs hrnj tmc rcgudfr Mfywfrk
rcgudfr edfbi mndc
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo
Cfstcro Jckatcrrfocfo Soavcrsaty, Onrtm Byprus
Kcbcjecr 6=, 5062
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Nvcrvacw
6 AotrnkubtanoFestrfbt
5 Mfywfrk rcgudfr edfbi mndcJfgoctab jnonpndc f snurbc hnr tmc Mfywfrk edfbi mndc
2 Rtfedc tmao smcdd wnrjmndc
; Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWMDaocfr gfs (DG)Bmfpdygao gfs (BG)
Gcocrfdazck Bmfpdygao gfs (GBG)Jnkastck Gcocrfdazck Bmfpdygao gfs (JGBG)Dngfratmjab gfs (DG)
3 Bnobdusano
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
http://find/ -
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Festrfbt
Ao tmc strst pfrt nh tmc pfpcr wc rcbnosakcr tmc Mfywfrkrcgudfr edfbi mndc ao ;-kajcosanofd spmcrabfd syjjctrab stftabspfbctajc watm tmc snurbc nh onodaocfr jfgoctab stcdk.
Ao tmc scbnok pfrt nh tmc pfpcr wc cstfedasm f spmcrabfdtmao-smcdd watm aosakc tmc Mfywfrk edfbi mndc fok nutsakcsajpdy Rbmwfrzsmadk spfbctajc.
[mc Rurhfbc strcss frc kctcrjaock usaog tmc Kfrjnas-Asrfcd
hnrjfdasj ft tmc wnrjmndc tmrnft.Wc fofdyzc tmc stfeadaty nh tmc tmao-smcdd bnosakcraog daocfrgfs(DG), bmfpdygao gfs(BG), pmfotnj-cocrgy nr gcocrfdasckBmfpdyggao gfs (GBG), jnkastck gcocrfdazck bmfpdygaogfs(JGBG) fok dngfratmjab gfs(DG) cquftano nh stftcs hnrtmc cxntab jfttcr ft tmc tmrnft.
Ao tmc dfst pfrt nh tmc pfpcr wc cstfedasm f tmao-smcdd wnrjmndcao tmc Mfywfrk rcgudfr edfbi mndc spfbctajc fok smnw tmcstfeadaty rcganos nh pntcotafds.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
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8/13/2019 Thin-shell wormholes from the regular Haywardregular black hole Seminar
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
YMfywfrk, 611;Z, kcstock fs tmc enuokfry nh f spfbc-tajc rcgano aowmabm aoatafddy kavcrgcot dagmt rfys cvcotufddy bnovcrgc. [masenuokfry bfo ec dnbftck ey aovcstagftaog tmc ecmfvanur nh dagmt
bnocs ao tmc rcgano.
Hagurc< F trfppaog mnrazno hndaftck ey jfrgaofd surhfbcs as smnwo mcrc.Aosakc trfppck rcganos nutwfrkdy karcbtck dagmt sagofdsjnjcotfradyhfdd
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
R R R B
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
aowfrks.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
A k a M k d ed i m d R ed ma m dd m d R k d h a a m [RWM B
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
[mc jctrab huobtano nh tmas edfbi mndc h (r) :
6 5jr5r2+5jd5
ft dfrgc recmfvcs fs Rbmwfrzsbmadk spfbctajc
dajr h(r) 6
5jr
+ N
6r;
(;)
ft sjfdd recmfvcs fs kc-Rattcr edfbi mndc
dajr0 h(r) 6 r5
d5 + N r3 . (3)[mc burvfturc aovfrafot sbfdfrs frc fdd stoatc ft r: 0 . [mcMfywfrk edfbi mndc fkjats cvcot mnrazno wmabm as tmc dfrgcst rcfdrnnt nh tmc hnddnwaog cquftano
r2 5jr5 + 5jd5 : 0. (8)Rcttaog r:j fok d:j (x) ecbnjcs
2
55 + 55 : 0 (7)
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
A t k ta M k d ed i m d Rt ed tma m dd m d R k d h ta tt ta tm [RWM B
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
wmabm fkjats on mnrazno (rcgudfr pfrtabdc sndutano) hnr 5 ? 6857 ,noc mnrazno (rcgudfr cxtrcjfd edfbi mndc) hnr 5 : 6857 fok twnmnraznos (rcgudfr edfbi mndc watm twn mnraznos) hnr 5 4 6857 .
[mcrchnrc tmc ajpnrtfot as tmc rftano nh dj
watm bratabfd rftan ft dj
brat.
: ;2
2eut ont d fok j aokavakufddy. [mas suggcsts tn sct
j: 6 ao tmc scqucd watmnut dnsc nh gcocrfdaty a.c.,h(r) : 6 5r5
r2+5d5. Hnr d5 4 6857 tmc cvcot mnrazno ( tmc pnaot nh on
rcturo) as gavco ey
rm :6
2
2
+ ;
2
+ 5
(=)
ao wmabm : = 57d5 + 2
57d5 (2d5 5). Hnr tmc bfsc nhcxtrcjfd edfbi mndc a.c. d5 : 6857 tmc saogdc mnrazno fbbrucs ftrm :
;2 . Hnr tmc bfsc d
5
6857 tmc stfokfrk Mfwiaog tcjpcrfturcft
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
tmc cvcot mnrazno as gavco ey
[M: h (rm)
;
: 6
;2
5 5
rm (1)
wmabm bdcfrdy hnr d5 : 6857 vfoasmcs fok hnr d5 4 6857 as pnsatavc (Noc
just ontc tmft rm ;2 ). Bnosakcraog tmc stfokfrk kcstoatano hnr tmccotrnpy nh tmc edfbi mndc R:F; ao wmabmF : ;r5m noc stoks tmcmcft bfpfbaty nh tmc edfbi mndc wmabm as kcstock fs
Bd:
[M
R
[M
d
(60)
wmabm as kctcrjaock fs
Bd : ;r2m
25 5
rm
(66)
wmabm as bdcfrdy ono-ocgftavc. Dfttcr smnws tmfttmcrjnkyofjabfddy tmc edfbi mndc as stfedc.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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8/13/2019 Thin-shell wormholes from the regular Haywardregular black hole Seminar
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Jfgoctab jnonpndc f snurbc hnr tmc Mfywfrk edfbi mndc
Dcts bnosakcr tmc hnddnwaog fbtano
A:
6
68 k;x
g(U
D(H)) (65)
ao wmabm U as tmc Uabba sbfdfr fok
D (H) : 8
d5 6 + H
2/;
5 (62)
as tmc onodaocfr jfgoctab stcdk Dfgrfogafo kcosaty watmH :HH
tmc Jfxwcdd aovfrafot fok d fok twn bnostfotpnsatavc pfrfjctcrs. [mc jfgoctab stcdk twn hnrj as gavco ey
H: Psao5 kk (6;)
ao wmabm P as tmc jfgoctab jnonpndc bmfrgc. Dfttcr stcdk hnrjtngctmcr watm tmc daoc cdcjcot (x) ajpdy
H :5P5
r
; . (63)
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
http://find/ -
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Caostcao stcdk cquftanos frc
G :[ (68)
ao wmabm
[ : 6
5
D ;HHDH
(67)
ao wmabmDH : DH. Noc bfo smnw tmft usaogD (H) gavco ao (x),tmc Caostcao cquftano fkjat tmc Mfywfrk rcgudfr edfbi mndc jctrabprnvakaog: 5P
5
(5jd5);/2. [mc wcfi stcdk dajat nh tmc Dfgrfogafo (x)
bfo ec hnuok ey cxpfokaog tmc Dfgrfogafo fenut H: 0 wmabm
rcfksD (H) : 8H
2/5
d52/5+
65H1/;
d51/; + N H2 . (6=)
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
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Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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y g pp g
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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Ao tmc scbnok pfrt nh tmc pfpcr wc usc tmc stfokfrk jctmnk nhjfiaog f tajcdaic tmao-smcdd wnrjmndc fok jfic f tajcdaictmao-smcdd dnbftck ft r:f (f?rm) ey but r4f hrnj tmc Mfywfrk
rcgudfr edfbi mndc fok pfst twn bnpy nh at ft r:f. No tmc smcddtmc spfbctajc as bmnsco tn ec
ks5 : k5 +f ()5
k5 + sao5 k5
(61)
ao wmabm as tmc prnpcr tajc no tmc smcdd.[n jfic f bnosastcot 5 + 6kajcosanofd tajcdaic smcdd watm tmctwn 2 + 6kajcosanofd wc mfvc tn hudstdd tmc Dfobzns bnokatanoswmabm frc tmc Caostfao cquftanos no tmc smcdd
Ila
YIZ la : =Rla (50)
ao wmabm Y]Z :]5 ]6 fok Ila as tmc cxtraosab burvfturc tcosnr aocfbm pfrt nh tmc tmao-smcdd fok I kcontcs atstrfbc. Rla astmc
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS
[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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cocrgy jnjcotuj tcosnr no tmc smcdd subm tmft R : nrcocrgy kcosaty R :p:R
as tmc prcssurc kcosaty.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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Ila as tmc cxtraosab burvfturc kcstock ey
I()al
:o()
5xal
+
x
a
x
l
r:f
(56)
watm tmc onrjfd uoat vcbtnr
o() : g h
x
h
x 6/5 h
x . (55)
frc hnuok fs hnddnws
ot:
gttf ()
t
5
+grr6/5
H
t
r:f
. (52)
Spno usaog
t
5
: 6
h (f) 6 + 6
h (f)f5 , (5;)
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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at ajpdacsot: (f) . (53)
Rajadfrdy noc stoks tmft
or : gtt
H
t
H
t +grr
H
r
H
r
6/5 Hr
r:f
(58)
: h(f) + f5h (f) , fok oa : 0, hnr fdd a. (57)Ontc tmftI :[rfbc
Ila
fok Rla :kafg(,py, p) as tmc cocrgy
jnjcotuj tcosnr no tmc tmao-smcdd. [mc pfrfjctrab cquftano nh
tmc mypcrsurhfbc as gavco ey
h (x, f ()) :x f () : 0. (5=)
Fhtcr tmc uoat k
onrjfd, noc stoks tmc cxtraosabburvfturctcosnr
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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bnjpnocots hrnj tmc kcstoatano
Ial :
o
5x
a
l +
x
a
x
l r:f
. (51)
At hnddnws tmft
I : ot5t
5+ t
x
x
r:f
or5r
5+ r
x
x
r:f
ot 5t5 + 5ttr t rr:f or 5
r5 + rttt t +
rrrr r
r:f
(20)
: h+ 5f5h + f5 , (26)
Fdsn
Iaa : o
5x
5a+
x
a
x
a
r:f
: h (f) + f5mm.
(25)J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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fok tmcrchnrc
I: [rfbcIla: Iaa:
h+ 5fh + f
5+ ;h (f) + f5
m
m. (22)
[mc surhfbc cocrgy-jnjcotuj bnjpnocots nh tmc tmao-smcdd frc
Rla :
6
=
Ila
Ila
(2;)
wmabm yacdk
: R : 5
h (f) + f5m
m
, (23)
Ra
a :pa :
6
= h+ 5f
h(f) + f5 + 5h
(f
) + f5m
m. (28)
Noc bfo cxpdabatdy stok
: 65fh (f) + f5 (27)
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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fok
p: 6
;
h (f) + f5
f +
f+h (f) /5
h(f) + f5. (2=)
Bnoscqucotdy tmc cocrgy fok prcssurc kcosatacs ao f stftabbnostgurftano ft f:f0 frc gavco ey
0
:
6
5f0h(f
0) (21)
fok
p0 : 6
;
h (f0)
f0+h (f0) /5
h(f0). (;0)
[n aovcstagftc tmc stfeadaty nh subm wnrjmndc wc fppdy f daocfrpurtcreftano ao wmabm fhtcr tmft tmc hnddnwaog stftc cquftano
p:() (;6)J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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watm fo freatrfry cquftano () as hnddnwck ey tmc tmao smcdd. Aofkkatano tn tmas rcdftano ectwcco pfok tmc cocrgy bnoscrvftanodfw fdsn ajpnscs
Ral9l: 0 (;5)
wmabm ao bdnsck hnrj at fjnuots tn
Ral,l+R
ilail +Railil: 0 (;2)
nr cquavfdfotdy, fhtcr tmc daoc cdcjcot (x),
f5
+p
f5
: 0. (;;)
[mas cquftano bfo ec rcwrattco fs
f5 +X(f) : 0 (;3)
ao X(f) as gavco ey
X(f) :h
;5f55 (;8)
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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fok as tmc cocrgy kcosaty fhtcr tmc pcrtureftano. Cq. (x) as f nockajcosanofd cquftano nh jntano ao wmabm tmc nsbaddftnry jntano hnrf ao tcrjs nh fenut f:f0 as tmc bnoscqucobc nh mfvaog f:f0
tmc cquadaerauj pnaot wmabm jcfos X (f0) : 0 fok X (f0) 0. Aotmc scqucd wc bnosakcr h6(f0) :h5(f0) fok tmcrchnrc ft f:f0,noc stoks X0 :X
0 : 0. [n aovcstagftc X
(f0) 0 wc usc tmcgavco p:() tn stoks
: kkf
: 5
f(+) (;7)
fok
: 5
f5(+) 2 + 5
. (;=)
Mcrcao : kk . Haofddy
X (f0) :h0 =5
(0+ 5p0)5 + 50(0+p0)
6 + 5 (0)
(;1)
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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wmabm wc mfvc usck 0 :p0.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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Ucbcotdy twn nh us fofdyzck tmc cffcbt nh tmc Gfuss-Enooctpfrfjctcr ao tmc stfeadaty nh [RW ao magmcr kajcosanofd CGEgrfvaty . Ao tmft pfpcr snjc spcbastb jnkcd nh jfttcr mfs ecco
bnosakcrck subm fs DG, BG, GBG, JGBG fok DG. Ao tmas wnri wcgn bdnscdy tn tmc sfjc stftc huobtanos fok wc fofdyzc tmc cffcbt nhMfywfrks pfrfjctcr ao tmc stfeadaty nh tmc [RW bnostrubtckfenvc.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Daocfr gfs (DG)
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Daocfr gfs (DG)
Hagurc< Rtfeadaty nh [RW suppnrtck ey DG ao tcrjs nhf0 fok 0 hnr
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Daocfr gfs (DG)
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Daocfr gfs (DG)
: 0.00, 0.60, 0.77 fok 0.10. [mc vfduc nhj: 6. [mc cffcbt nhMfywfrks bnostfot as tn aobrcfsc tmc stfeadaty nh tmc [RW. Wc ontc tmfttmc stfedc rcganos frc smnwo eyRfok tmc jctrab huobtano as pdnttck tnn.
Ao tmc bfsc nh f daocfr stftc huobtano a.c.,
:0( 0) +p0
ao wmabm 0 as f bnostfot pfrfjctcr, noc stoks (0) :0. Hag. 6kaspdfys tmc rcgano nh stfeadaty ao tcrjs nh0 fok f0 hnr kaffcrcotvfducs nh Mfywfrks pfrfjctcr.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Bmfpdygao gfs (BG)
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p yg g ( )
Hagurc< Rtfeadaty nh [RW suppnrtck ey BG ao tcrjs nhf0 fok 0 hnr
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Bmfpdygao gfs (BG)
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p yg g ( )
: 0.00, 0.60, 0.77 fok 0.10. [mc vfduc nhj: 6. [mc cffcbt nhMfywfrks bnostfot as tn aobrcfsc tmc stfeadaty nh tmc [RW. Wc fdsn pdnttmc jctrab huobtano tn bnjpfrc tmc mnrazno nh tmc edfbi mndc fok tmc
dnbftano nh tmc tmrnft.
Hnr Bmfpdygao gfs (BG) tmc stftc huobtano as gavco ey
:0 6
6
0
+p0
wmcrc 0 as f bnostfot pfrfjctcr, ajpdacs (0) : 050 . Ao Hag. 5
wc pdnt tmc stfeadaty rcgano ao tcrjs nh0 fok f0 hnr kaffcrcotvfducs nh.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Gcocrfdazck Bmfpdygao gfs (GBG)
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8/13/2019 Thin-shell wormholes from the regular Haywardregular black hole Seminar
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Hagurc< Rtfeadaty nh [RW suppnrtck ey GBG ao tcrjs nhf0 fok hnr
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Gcocrfdazck Bmfpdygao gfs (GBG)
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: 0.00, 0.60, 0.77 fok 0.10. [mc vfduc nhj: 6. [mc cffcbt nhMfywfrks bnostfot as tn aobrcfsc tmc stfeadaty nh tmc [RW. Wc fdsn pdnttmc jctrab huobtano tn bnjpfrc tmc mnrazno nh tmc edfbi mndc fok tmc
dnbftano nh tmc tmrnft.
[mc stftc huobtano nh tmc Gcocrfdazck Bmfpdygao gfs bfo ec bfstaotn
() :0 6
6
0
+p
0
ao wmabmfok0 frc bnostfot. [n scc tmc cffcbt nh pfrfjctcr aotmc stfeadaty wc sct tmc bnostfot 0 subm tmft ecbnjcs
() :p00
.
Fhtcr wc hnuok (0) : p00 , ao Hag. 2 wc pdnt tmc stfeadatyrcganos nh tmc [RW suppnrtck ey f GBG ao tcrjs nh fok f0 watmvfranus vfducs nh.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Jnkastck Gcocrfdazck Bmfpdygao gfs (JGBG)
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Hagurc< Rtfeadaty nh [RW suppnrtck ey JGBG ao tcrjs nhf0 fok 0 hnr
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Jnkastck Gcocrfdazck Bmfpdygao gfs (JGBG)
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: 0.00, 0.60, 0.77 fok 0.10. [mc vfduc nhj: 6 fok 0 :0 : 6. [mccffcbt nh Mfywfrks bnostfot as tn aobrcfsc tmc stfeadaty nh tmc [RW. Wcfdsn pdnt tmc jctrab huobtano tn bnjpfrc tmc mnrazno nh tmc edfbi mndc
fok tmc dnbftano nh tmc tmrnft.
F jnrc gcocrfdazck hnrj nh BG as bfddck tmc Jnkastck GcocrfdazckBmfpdygao gfs (JGBG) wmabm as gavco ey
() :0( 0) 0
6 6
0
+p0
ao wmabm 0, 0 fok frc hrcc pfrfjctcrs. Noc tmco, stoks
(0) :0+0
0
+60.
[n gn hurtmcr wc sct 0 : 6 fok : 6 fok ao Hag. ; wc smnw tmcstfeadaty rcganos ao tcrjs nhfok f0 watm vfranusvfducsnh.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Dngfratmjab gfs (DG)
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Hagurc< Rtfeadaty nh [RW suppnrtck ey DG ao tcrjs nhf0 fok 0 hnr
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
Dngfratmjab gfs (DG)
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: 0.00, 0.60, 0.77 fok 0.10. [mc vfduc nhj: 6. [mc cffcbt nhMfywfrks bnostfot as tn aobrcfsc tmc stfeadaty nh tmc [RW. Wc fdsn pdnttmc jctrab huobtano tn bnjpfrc tmc mnrazno nh tmc edfbi mndc fok tmc
dnbftano nh tmc tmrnft.
Ao nur dfst cquftano nh stftc wc bnosakcr tmc Dngfratmjab gfs (DG)wmabm as gavco ey
() :0do 0 +p0
ao wmabm 0 as f bnostfot. Hnr DG noc stoks
(0) : 00
.
Ao Hag. 3 wc pdnt tmc stfeadaty rcgano hnr tmc [RW suppnrtck ey DGfok tmc cffcbt nh Mfywfrks pfrfjctcr as smnwo bdcfrdy.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
Aotrnkubtano Mfywfrk rcgudfr edfbi mndc Rtfedc tmao smcdd wnrjmndc Rnjc jnkcds nh cxntab jfttcr suppnrtaog tmc [RWM Bnob
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BnobdusanoWc mfvc stukack vfranus fspcbts nh tmao-smcddwnrjmndcs bnostrubtck hrnj tmc Mfywfrk rcgudfr edfbi mndc ao;-kajcosanofd spmcrabfd syjjctrab stftab spfbctajc watm tmc snurbc
nh onodaocfr jfgoctab jnonpndc stcdk. Ao f onodaocfr Jfgoctabstcdk. Wc mfvc pdnttck fok p hnr kaffcrcot vfducs nh pfrfjctcrsJ, V fok f : f0 tn smnw tmc prcscobc nh cxntab jfttcr bnostockwatmao tmc smcdd nh tmc wnrjmndc. [mc ofturc nh tmc wnrjmndc(fttrfbtavc fok rcpudsavc) mfs ecco aovcstagftck hnr stxck vfducs nh
pfrfjctcrs J fok V. [mc fjnuot nh cxntab jfttcr rcquarck tnsuppnrt tmc wnrjmndc as fdwfys f brubafd assuc. Wc mfvc smnwo tmcvfraftano nh cxntab jfttcr grfpmabfddy watm rcspcbt tn bmfrgc fokjfss.
J.Mfdadsny, R.M.Jfzmfrajnusfva, F.Nvguo CJS[mao-Rmcdd Mfywfrk EM
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