Maximum Entropy Principle for Self-gravitating Perfect Fluid in Lovelock Gravity

Abstract

We consider a static self-gravitating system consisting of perfect fluid with isometries of an $(n-2)$-dimensional maximally symmetric space in Lovelock gravity theory. A straightforward analysis of the time-time component of the equations of motion suggests a generalized mass function. Tolman-Oppenheimer-Volkoff like equation is obtained by using this mass function and gravitational equations. We investigate the maximum entropy principle in Lovelock gravity, and find that this Tolman-Oppenheimer-Volkoff equation can also be deduced from the so called "maximum entropy principle" which is originally customized for Einstein gravity theory. This investigation manifests a deep connection between gravity and thermodynamics in this generalized gravity theory.

v1,revtex4, 9 pages, no figure; v2, two references added, typos corrected

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Cited by in corpus (11)

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• General proof of the entropy principle for self-gravitating fluid in static spacetimes
• The thermodynamics of self-gravitating systems in equilibrium is holographic
• A Study of Universal Thermodynamics in Lanczos-Lovelock gravity
• Proof of entropy principle in Einstein-Maxwell theory
• Thermodynamical stability for perfect fluid
• General proof of (maximum) entropy principle in Lovelock gravity
• Consistency between dynamical and thermodynamical stabilities for perfect fluid in $f(R)$ theories
• Entropy of Self-Gravitating Anisotropic Matter
• Consistency between dynamical and thermodynamical stabilities for charged self-gravitating perfect fluid
• Universality of entropy principle for a general diffeomorphism-covariant purely gravitational theory