On the Stability of Pressure Isotropy Condition in Palatini $f(R)$ Gravity

Abstract

This manuscript copes with the issue of analyzing the conditions to check the stability of the pressure isotropy condition by taking into account a spherically symmetric dissipative astrophysical configuration with the Palatini $f(R)$ gravity theory. We work out a differential equation in terms of the Weyl scalar that has a crucial part in the analysis of the evolution of the considered system. Using this equation, we devise another stellar equation that characterizes the evolution of anisotropic factor. Later, we assume an axially symmetric configuration and extended our analysis for that particular symmetry. It is worth observing that the physical factors responsible for compelling an initially isotropic object to trigger pressure anisotropy incorporate energy density, dissipative flux, and shear in fluid flow.

23 pages, no figure

References in corpus (5)

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• Stability of the isotropic pressure condition
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Dissipative collapse of axially symmetric, general relativistic, sources: A general framework and some applications
• Earliest stages of the non-equilibrium in axially symmetric, self-gravitating, dissipative fluids