# Dynamics of phantom matter

## Abstract

A spherically symmetric evolution model of self-gravitating matter with the equation of state p = -(1 + {delta}){epsilon} (where {delta} = const) is considered. The equations of the model are written in the frame of reference co-moving with matter. A criterion for the existence and formation of a horizon is defined. Part of the Einstein equations is integrated analytically. The initial conditions and the constraints imposed on these conditions in the presence of a horizon are determined. For small {delta}, an analytic solution to spherically symmetric time-dependent Einstein equations is obtained. Conditions are determined under which the dynamics of matter changes from collapse to expansion. Characteristic times of the evolution of the system are evaluated. It is proved that the accretion of phantom matter (for {delta} > 0) onto a black hole leads to the decreases of the horizon radius of the black hole (i.e., the black hole is dissolved)

- Authors:

- Russian Academy of Sciences, Aerospace Center, Lebedev Institute of Physics (Russian Federation), E-mail: shatskiy@asc.rssi.ru

- Publication Date:

- OSTI Identifier:
- 21072479

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 104; Journal Issue: 5; Other Information: DOI: 10.1134/S1063776107050081; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; BLACK HOLES; COSMOLOGICAL MODELS; EINSTEIN FIELD EQUATIONS; EQUATIONS OF STATE; EXPANSION; MATHEMATICAL EVOLUTION; MATTER; TIME DEPENDENCE

### Citation Formats

```
Shatskii, A. A.
```*Dynamics of phantom matter*. United States: N. p., 2007.
Web. doi:10.1134/S1063776107050081.

```
Shatskii, A. A.
```*Dynamics of phantom matter*. United States. doi:10.1134/S1063776107050081.

```
Shatskii, A. A. Tue .
"Dynamics of phantom matter". United States.
doi:10.1134/S1063776107050081.
```

```
@article{osti_21072479,
```

title = {Dynamics of phantom matter},

author = {Shatskii, A. A.},

abstractNote = {A spherically symmetric evolution model of self-gravitating matter with the equation of state p = -(1 + {delta}){epsilon} (where {delta} = const) is considered. The equations of the model are written in the frame of reference co-moving with matter. A criterion for the existence and formation of a horizon is defined. Part of the Einstein equations is integrated analytically. The initial conditions and the constraints imposed on these conditions in the presence of a horizon are determined. For small {delta}, an analytic solution to spherically symmetric time-dependent Einstein equations is obtained. Conditions are determined under which the dynamics of matter changes from collapse to expansion. Characteristic times of the evolution of the system are evaluated. It is proved that the accretion of phantom matter (for {delta} > 0) onto a black hole leads to the decreases of the horizon radius of the black hole (i.e., the black hole is dissolved)},

doi = {10.1134/S1063776107050081},

journal = {Journal of Experimental and Theoretical Physics},

number = 5,

volume = 104,

place = {United States},

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

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

}