Self-gravitating radiation in AdS(d)

Details Self-gravitating radiation in AdS(d) Self-gravitating radiation in AdS(d)

2007-07-05

arxiv.org/abs/0707.0864v4

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 4 figures, JHEP style; revised version

Scientific paper

We study spherically symmetric equilibrium configurations of self-gravitating massless thermal radiation in asymptotically anti-de Sitter space. In d=4, it was shown by Page and Phillips that there is a maximum red-shifted temperature, maximum mass and maximum entropy. For higher central densities, the temperature, mass and entropy undergo an infinite series of damped oscillations, corresponding to unstable configurations. We extend this work to all dimensions $d\geq 3$. We find that in $4\leq d\leq 10$, the behaviour is similar to the d=4 case. In $d\geq 11$, the temperature, mass and entropy are monotonic functions of the central density, asymptoting to their maxima as the central density goes to infinity. In d=3, an exact solution is given by a slice of the AdS C-metric.

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