Energy Density Inhomogeneities with Polynomial $f(R)$ Cosmology

Abstract

In this paper, we study the effects of polynomial $f(R)$ model on the stability of homogeneous energy density in self-gravitating spherical stellar object. For this purpose, we construct couple of evolution equations which relate the Weyl tensor with matter parameters. We explore different factors responsible for density inhomogeneities with non-dissipative dust, isotropic as well as anisotropic fluids and dissipative dust cloud. We find that shear, pressure, dissipative parameters and $f(R)$ terms affect the existence of inhomogeneous energy density.

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References in corpus (9)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Time-dependent matter instability and star singularity in $F(R)$ gravity
• Space-time inhomogeneity, anisotropy and gravitational collapse
• Radiating relativistic matter in geodesic motion
• Radiating Gravitational Collapse with an Initial Inhomogeneous Energy Density Distribution

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• Evolution of Compact Stars and Dark Dynamical Variables
• Stability of Anisotropic Stellar Filaments
• Higher derivative corrections of $f(R)$ gravity with varying equation of state in the case of variable $G$ and $\Lambda$
• Fractional Scalar Field Cosmology
• Stability of a Class of Non-Static Axial Self-Gravitating Systems in $f(R)$ Gravity
• The theory of gravitation: A tale of many questions and few answers
• Constraints on the Combined Models with $R^{2-q}$ Inflation and Viable $f(R)$ Dark Energy
• Instability Analysis of Cylindrical Stellar Object in Brans-Dicke Gravity