Dynamical Instability of Spherical Anisotropic Sources in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity

Abstract

In this paper, we study the effects of modification of gravity on the problem of dynamical instability of the spherical relativistic anisotropic interiors. We have considered non-zero influence of expansion scalar throughout during the evolutionary phases of spherical geometry that led to the use of fluid stiffness parameter. The modified hydrostatic equation for the stellar anisotropic matter distributions is constructed and then solved by using radial perturbation scheme. Such a differential equation can be further used to obtain instability constraints at both weak field and post-Newtonian approximations after considering a particular Harrison-Wheeler equation of state. This approach allows us to deal with the effects of usual and effective matter variables on the stability exotic stellar of self-gravitating structures.

24 pages, no figure, version accepted for publication in the European Physical Journal A

References in corpus (32)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• 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
• Beyond the Cosmological Standard Model
• Inflationary cosmology in modified gravity theories
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• Integrated Sachs-Wolfe effect from the cross correlation of WMAP3 year and the NRAO VLA sky survey data: New results and constraints on dark energy
• A high redshift detection of the integrated Sachs-Wolfe effect
• The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• Existence of Compact Structures in $f(R,T)$ Gravity
• Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems
• The inertia of heat and its role in the dynamics of dissipative collapse
• Cavity Evolution and Instability Constraints of Relativistic Interiors
• Stability Analysis of Stellar Radiating Filaments
• Magnetized strange quark model with Big Rip singularity in $f(R,T)$ gravity
• Influence of Electric Charge and Modified Gravity on Density Irregularities
• Cylindrical Thin-shell Wormholes in $f(R)$ gravity
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Cosmic Transit and Anisotropic Models in f(R,T) Gravity
• Stability of Anisotropic Stellar Filaments
• Gravitational collapse of massless scalar field in $f(R)$ gravity
• Gravitational collapse in f(R) gravity for a spherically symmetric spacetime admitting a homothetic Killing vector
• Gravitational Perfect Fluid Collapse in Gauss-Bonnet Gravity
• Naked Singularity in a Modified Gravity Theory
• On the collapse in fourth order gravities
• Gravitational Collapse in Repulsive $R+{\mu }^4/R$ Gravity

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