Stability of the isotropic pressure condition
L. Herrera
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 of our results are analyzed.
Topics & Concepts
IsotropyStability (learning theory)Materials scienceMechanicsPhysicsComputer scienceOpticsMachine learningCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsComputational Fluid Dynamics and Aerodynamics