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General maximum entropy principle for self-gravitating perfect fluid
Phys. Rev. D 84, 104023 – Published 9 November, 2011
DOI: https://doi.org/10.1103/PhysRevD.84.104023
Abstract
We consider a self-gravitating system consisting of perfect fluid with spherical symmetry. Using the general expression of entropy density, we extremize the total entropy under the constraint that the total number of particles is fixed. We show that extrema of coincides precisely with the relativistic Tolman-Oppenheimer-Volkoff equation of hydrostatic equilibrium. Furthermore, we apply the maximum entropy principle to a charged perfect fluid and derive the generalized Tolman-Oppenheimer-Volkoff equation. Our work provides strong evidence for the fundamental relationship between general relativity and ordinary thermodynamics.
See Also
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Article Text
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