Self-gravitating radiation in anti-de Sitter space

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Equilibrium Equations, Gravitation Theory, Space-Time Functions, Thermal Radiation, Thermodynamic Properties, Asymptotic Properties, Entropy, Mass Distribution, Red Shift, Temperature Distribution

Scientific paper

A numerical construction is conducted of equilibrium configurations for self-gravitating, massless thermal radiation within spherical boxes of radius R in asymptotically anti-de Sitter space, for a range of central densities. For each of the 0, 1/2, 1, 2, 4, and infinite box radii considered, there exists a unique configuration with maximal total mass and entropy, as well as another at a lower central density, which has maximum asymptotic red-shifted temperature.

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