Gravitational collapse of plasmas in general relativity

We provide a covariant derivation of plasma physics coupled to gravitation by utilizing the 3+1 formulation of general relativity, including a discussion of the Lorentz force law. We then reduce the system to the spherically symmetric case and show that all regions of the spacetime can be represented in a single coordinate system, thus revoking the need for junction conditions. We further show that the region exterior to the collapsing region is naturally described by the charged Vaidya spacetime in non-null coordinates.

References(4)

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A New approach to spherically symmetric junction surfaces and the matching of FLRW regions

Ulrich Kirchner
(
- Cape Town U., Dept. Math.
)

- Class.Quant.Grav. 21 (2004) 3845-3870
•
e-Print:
- gr-qc/0312003
•
DOI:
- 10.1088/0264-9381/21/16/002

Generalized Lemaitre-Tolman-Bondi Solutions with Pressure

Paul D. Lasky
(
- Monash U.
)
,
Anthony W.C. Lun
(
- Monash U.
)

- Phys.Rev.D 74 (2006) 084013
•
e-Print:
- gr-qc/0606055
•
DOI:
- 10.1103/PhysRevD.74.084013

Gravitational collapse of spherically symmetric plasmas in Einstein-Maxwell spacetimes

Paul D. Lasky
(
- Monash U.
)
,
Anthony W.C. Lun
(
- Monash U.
)

- Phys.Rev.D 75 (2007) 104010
•
e-Print:
- 0704.3634
•
DOI:
- 10.1103/PhysRevD.75.104010

Spherically Symmetric Gravitational Collapse of General Fluids

Paul D. Lasky
(
- Monash U.
)
,
Anthony W.C. Lun
(
- Monash U.
)

- Phys.Rev.D 75 (2007) 024031
•
e-Print:
- gr-qc/0612007
•
DOI:
- 10.1103/PhysRevD.75.024031