# Gravitational collapse of a charged fluid sphere

## Abstract

A class of solutions of Einstein's gravitational field equations is discussed which describes the collapse or expansion of a charged, perfect-fluid spherical distribution of matter. These solutions reduce in the appropriate limits to certain charged Newtonian polytropes. A physical interpretation of the collapsing configurations is given, and it is shown that these solutions can describe the gravitational collapse of a bounded, charged fluid around a charged black hole. In all these configurations the singular region is either a spacelike or a null hypersurface. Therefore, the final state of collapse cannot be described by the complete analytic extension of the Reissner-Nordstroem spacetime. The special case of uniform density models is investigated in detail and it is shown that they describe the accretion of neutral matter by a charged black hole. On the basis of this analysis, it is suggested that for the realistic collapse of charged matter the singular region formed within the matter is either spacelike or null.

- Authors:

- Publication Date:

- Research Org.:
- Department of Physics, University of Utah, Salt Lake City, Utah 84112

- OSTI Identifier:
- 5628478

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev., D; (United States)

- Additional Journal Information:
- Journal Volume: 20:10

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; GRAVITATIONAL COLLAPSE; EINSTEIN FIELD EQUATIONS; FLUIDS; MATTER; SCALAR FIELDS; SPACE-TIME; THERMODYNAMICS; EQUATIONS; FIELD EQUATIONS; 657003* - Theoretical & Mathematical Physics- Relativity & Gravitation; 640102 - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources

### Citation Formats

```
Mashhoon, B., and Partovi, M.H.
```*Gravitational collapse of a charged fluid sphere*. United States: N. p., 1979.
Web. doi:10.1103/PhysRevD.20.2455.

```
Mashhoon, B., & Partovi, M.H.
```*Gravitational collapse of a charged fluid sphere*. United States. doi:10.1103/PhysRevD.20.2455.

```
Mashhoon, B., and Partovi, M.H. Thu .
"Gravitational collapse of a charged fluid sphere". United States. doi:10.1103/PhysRevD.20.2455.
```

```
@article{osti_5628478,
```

title = {Gravitational collapse of a charged fluid sphere},

author = {Mashhoon, B. and Partovi, M.H.},

abstractNote = {A class of solutions of Einstein's gravitational field equations is discussed which describes the collapse or expansion of a charged, perfect-fluid spherical distribution of matter. These solutions reduce in the appropriate limits to certain charged Newtonian polytropes. A physical interpretation of the collapsing configurations is given, and it is shown that these solutions can describe the gravitational collapse of a bounded, charged fluid around a charged black hole. In all these configurations the singular region is either a spacelike or a null hypersurface. Therefore, the final state of collapse cannot be described by the complete analytic extension of the Reissner-Nordstroem spacetime. The special case of uniform density models is investigated in detail and it is shown that they describe the accretion of neutral matter by a charged black hole. On the basis of this analysis, it is suggested that for the realistic collapse of charged matter the singular region formed within the matter is either spacelike or null.},

doi = {10.1103/PhysRevD.20.2455},

journal = {Phys. Rev., D; (United States)},

number = ,

volume = 20:10,

place = {United States},

year = {1979},

month = {11}

}