Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-04-21
Phys.Rev.D77:104032,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Revtex, 13 pages with 8 eps figures, to appear in PRD; v2: typos corrected and the version in PRD
Scientific paper
10.1103/PhysRevD.77.104032
In this paper we investigate the equilibrium self-gravitating radiation in higher dimensional, plane symmetric anti-de Sitter space. We find that there exist essential differences from the spherically symmetric case: In each dimension ($d\geq 4$), there are maximal mass (density), maximal entropy (density) and maximal temperature configurations, they do not appear at the same central energy density; the oscillation behavior appearing in the spherically symmetric case, does not happen in this case; and the mass (density), as a function of the central energy density, increases first and reaches its maximum at a certain central energy density and then decreases monotonically in $ 4\le d \le 7$, while in $d \geq 8$, besides the maximum, the mass (density) of the equilibrium configuration has a minimum: the mass (density) first increases and reaches its maximum, then decreases to its minimum and then increases to its asymptotic value monotonically. The reason causing the difference is discussed.
Cai Rong-Gen
Hu Bin
Li Zhong-Hua
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