Entropy of Self-Gravitating Anisotropic Matter
arXiv:1901.03148 · doi:10.1140/epjc/s10052-019-7189-2
Abstract
We examine the entropy of self-gravitating anisotropic matter confined to a box in the context of generalrelativity. The configuration of self-gravitating matter is spherically symmetric, but has anisotropic pressure of which angular part is different from the radial part. We deduce the entropy from the relation between the thermodynamical laws and the continuity equation. The variational equation for this entropy is shown to reproduce the gravitational field equation for the anisotropic matter. This result re-assures us the correspondence between gravity and thermodynamics. We apply this method to calculate the entropies of a few objects such as compact star and wormholes.
10 pages, 0 figure
References in corpus (7)
- Charged anisotropic matter with linear equation of state
- Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
- Brans wormholes
- Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes
- General relativistic polytropes in anisotropic stars
- Maximum Entropy Principle for Self-gravitating Perfect Fluid in Lovelock Gravity
- Black hole in closed spacetime with an anisotropic fluid