General static black holes in matter

Details General static black holes in matter General static black holes in matter

2009-04-30

arxiv.org/abs/0904.4904v1

Class.Quant.Grav.26:165004,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages latex

Scientific paper

10.1088/0264-9381/26/16/165004

For arbitrary static space-times, it is shown that an equilibrium between a Killing horizon and matter is only possible for some discrete values of the parameter $w = p_1/\rho$, where $\rho$ is the density and $p_1$ is pressure in the direction normal to the horizon. In the generic situation of a simple (non-extremal) horizon and the slowest possible density decrease near the horizon, this corresponds to $w = -1/3$, the value known for a gas of disordered cosmic strings. An admixture of "vacuum matter", characterized by $w=-1$ and nonzero density at the horizon, is also admitted. This extends the results obtained previously for static, spherically symmetric space-times. A new feature as compared to spherical symmetry is that higher-order horizons can exist in the absence of vacuum matter if the horizon is a surface of zero curvature, which can occur, e.g., in cylindrically symmetric space-times.

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