# Gravitational collapse of spherically symmetric plasmas in Einstein-Maxwell spacetimes

## Abstract

We utilize a recent formulation of a spherically symmetric spacetime endowed with a general decomposition of the energy-momentum tensor [Phys. Rev. D 75, 024031 (2007)] to derive equations governing spherically symmetric distributions of electromagnetic matter. We show the system reduces to the Reissner-Nordstrom spacetime in general, spherically symmetric coordinates in the vacuum limit. Furthermore, we show reduction to the charged Vaidya spacetime in non-null coordinates when certain equations of states are chosen. A model of gravitational collapse is discussed whereby a charged fluid resides within a boundary of finite radial extent on the initial hypersurface, and is allowed to radiate charged particles. Our formalism allows for the discussion of all regions in this model without the need for complicated matching schemes at the interfaces between successive regions. As further examples we consider the collapse of a thin shell of charged matter onto a Reissner-Nordstrom black hole. Finally, we reduce the entire system of equations to the static case such that we have the equations for hydrostatic equilibrium of a charged fluid.

- Authors:

- Centre for Stellar and Planetary Astrophysics School of Mathematical Sciences, Monash University, Wellington Rd., Melbourne 3800 (Australia)

- Publication Date:

- OSTI Identifier:
- 20935259

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.104010; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; CHARGED PARTICLES; COORDINATES; EINSTEIN-MAXWELL EQUATIONS; ENERGY-MOMENTUM TENSOR; EQUATIONS OF STATE; GRAVITATIONAL COLLAPSE; MATTER; PLASMA; SPACE-TIME; SPATIAL DISTRIBUTION

### Citation Formats

```
Lasky, P. D., and Lun, A. W. C.
```*Gravitational collapse of spherically symmetric plasmas in Einstein-Maxwell spacetimes*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.104010.

```
Lasky, P. D., & Lun, A. W. C.
```*Gravitational collapse of spherically symmetric plasmas in Einstein-Maxwell spacetimes*. United States. doi:10.1103/PHYSREVD.75.104010.

```
Lasky, P. D., and Lun, A. W. C. Tue .
"Gravitational collapse of spherically symmetric plasmas in Einstein-Maxwell spacetimes". United States.
doi:10.1103/PHYSREVD.75.104010.
```

```
@article{osti_20935259,
```

title = {Gravitational collapse of spherically symmetric plasmas in Einstein-Maxwell spacetimes},

author = {Lasky, P. D. and Lun, A. W. C.},

abstractNote = {We utilize a recent formulation of a spherically symmetric spacetime endowed with a general decomposition of the energy-momentum tensor [Phys. Rev. D 75, 024031 (2007)] to derive equations governing spherically symmetric distributions of electromagnetic matter. We show the system reduces to the Reissner-Nordstrom spacetime in general, spherically symmetric coordinates in the vacuum limit. Furthermore, we show reduction to the charged Vaidya spacetime in non-null coordinates when certain equations of states are chosen. A model of gravitational collapse is discussed whereby a charged fluid resides within a boundary of finite radial extent on the initial hypersurface, and is allowed to radiate charged particles. Our formalism allows for the discussion of all regions in this model without the need for complicated matching schemes at the interfaces between successive regions. As further examples we consider the collapse of a thin shell of charged matter onto a Reissner-Nordstrom black hole. Finally, we reduce the entire system of equations to the static case such that we have the equations for hydrostatic equilibrium of a charged fluid.},

doi = {10.1103/PHYSREVD.75.104010},

journal = {Physical Review. D, Particles Fields},

number = 10,

volume = 75,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}