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A general maximum entropy principle for self-gravitating perfect fluid · Around

2011

A general maximum entropy principle for self-gravitating perfect fluid

Gao, Sijie

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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 $S$ under the constraint that the total number of particles is fixed.
We show that extrema of $S$ coincides precisely with the relativistic Tolman-Oppenheimer-Volkoff (TOV) equation of hydrostatic equilibrium.
Furthermore, we apply the maximum entropy principle to a charged perfect fluid and derive the generalized TOV equation.

Built on

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