pavel bakala martin blaschke , martin urbanec , gabriel török and eva Šrámková
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Compact Star Dipole Magnetic Field on the Background o f Hartle -Thorne Spacetime Geometry preliminary results. Pavel Bakala Martin Blaschke , Martin Urbanec , Gabriel Török and Eva Šrámková. - PowerPoint PPT PresentationTRANSCRIPT
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Pavel Bakala Martin Blaschke, Martin Urbanec, Gabriel Török and Eva Šrámková
Institute of Physics, Faculty of Philosophy and Science, Silesian University in Opava,Czech Republic
Compact Star Dipole Magnetic Field on the Background
of Hartle-Thorne Spacetime Geometry
preliminary results
![Page 2: Pavel Bakala Martin Blaschke , Martin Urbanec , Gabriel Török and Eva Šrámková](https://reader036.vdocuments.site/reader036/viewer/2022062310/56816112550346895dd06fb8/html5/thumbnails/2.jpg)
Compact Star Dipole Magnetic Field on the Background of Hartle-Thorne Spacetime Geometry
Hartle-Thorne spacetime geometry Maxwell equations for the electromagnetic field of slowly rotating compact
neutron stars
Magnetic field of aligned dipole character
Perturbative expansion of a fourpotential of the field
Static observers at infinity
Local Keplerian orbiting observers
Conclusions
Aims and Scope
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Exact solution of Einstein equations describing spacetime in the vicinity of a perfect fluid, stationary and axially symmetric and slowly rotating star
Parameters of the solution: Mass M Specific angular momentum j Dimensionless quadrupole moment q
Hartle-Thorne Spacetime Geometry
Coefficients of metric with accuracy up to the quadratic terms
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Aligned magnetic dipole fourpotential
Maxwell equation
Fields in ZAMO frame
Magnetic field lines frozen into the surface of star
Maxwell equations on the Hartle-Thorne background
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Linear approximation (in terms j) of the Hartle-Thorne metric
Magnetic component of the fourpotential
Electric component of fourpotential induced by rotation and frame dragging
Perturbation expansion
First Step: Magnetic Dipole on the Background of the Lense-Thirring Spacetime Geometry
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Completed perturbation expansion
Maxwell equations
Solution on the Hartle-Thorne Spacetime Background
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Maxwell equations of perturbations term: hierarchy and depencies
Final perturbation expansion
New perturbation terms of azimuthal component
The solution on the Hartle-Thorne Spacetime Background
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Electromagnetic Field of Realistic Neutron Stars Model neutron stars
Local magnetic field on the surface B=1000T
Boost from ZAMO frame to an arbitrary rotating frame
(Martin Urbanec, Prague Synergy 2013 talk)
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Electric Field for Static Observers at Infinity
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Magnetic Field for Static Observers at Infinity
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Electric Field for Keplerian Local Observers
Magnetic Field for Keplerian Local Observers
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Perturbation expansion for the dipole field with an arbitrary declination on the Hartle-Thorne spacetime geometry background.
Analysis of charged matter orbital motion in such field.
Conclusions
Plans:
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Thank you for your attention.