English

Stability of the isotropic pressure condition

General Relativity and Quantum Cosmology 2020-05-27 v1

Abstract

We investigate the conditions for the (in)stability of the isotropic pressure condition in collapsing spherically symmetric, dissipative fluid distributions. It is found that dissipative fluxes, and/or energy density inhomogeneities and/or the appearance of shear in the fluid flow, force any initially isotropic configuration to abandon such a condition, generating anisotropy in the pressure. To reinforce this conclusion we also present some arguments concerning the axially symmetric case. The consequences ensuing our results are analyzed.

Keywords

Cite

@article{arxiv.2005.06358,
  title  = {Stability of the isotropic pressure condition},
  author = {L. Herrera},
  journal= {arXiv preprint arXiv:2005.06358},
  year   = {2020}
}

Comments

10 pages Revtex. Published in Phys. Rev. D

R2 v1 2026-06-23T15:31:03.090Z