Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity

Abstract

Dynamical analysis of spherically symmetric collapsing star surrounding in locally anisotropic environment with expansion-free condition is presented in $f(R,T)$ gravity, where $R$ corresponds to Ricci scalar and $T$ stands for the trace of energy momentum tensor. The modified field equations and evolution equations are reconstructed in the framework of $f(R,T)$ gravty. In order to acquire the collapse equation we implement the perturbation on all matter variables and dark source components comprising the viable $f(R,T)$ model. The instability range is described in Newtonian and post-Newtonian eras by constraining the adiabatic index $\Gamma$ to maintain viability of considered model and stable stellar configuration.

arXiv comment22 pages

References in corpus (32)

• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Schwarzschild black hole lensing
• Information criteria for astrophysical model selection
• The Large Scale Structure of f(R) Gravity
• Relativistic images of Schwarzschild black hole lensing
• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Reconstruction of some cosmological models in f(R,T) gravity
• Thermodynamics in f(R,T) Theory of Gravity
• Dynamics of Linear Perturbations in f(R) Gravity
• Dynamics of scalar perturbations in f(R,T) gravity
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• Recent developments in gravitational collapse and spacetime singularities
• Dynamics of dissipative gravitational collapse
• An Alternative f (R, T) Gravity Theory and the Dark Energy Problem
• Extragalactic Radio Sources and the WMAP Cold Spot
• Weak Lensing Probes of Modified Gravity
• Dynamical instability and the expansion-free condition
• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• Gravitational collapse in f(R) theories
• Modified-Source Gravity and Cosmological Structure Formation
• Energy Conditions Constraints and Stability of Power Law Solutions in f(R,T) Gravity
• Anisotropic Universe Models with Perfect Fluid and Scalar Field in f(R,T) Gravity
• Effects of f(R) Model on the Dynamical Instability of Expansionfree Gravitational Collapse
• Minivoids in the Local Volume
• Spherical Collapse in f(R) Gravity
• Effects of Electromagnetic Field on the Dynamical Instability of Expansionfree Gravitational Collapse
• The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity
• Gravitational Collapse: Expanding and Collapsing Regions
• Expansionfree Fluid Evolution and Skripkin Model in f(R) Theory
• Newtonian and Post Newtonian Expansionfree Fluid Evolution in f(R) Gravity
• Linear perturbations in viable f(R) theories

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• Possible Formation of Compact Stars in $f(R,T)$ Gravity
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• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• Quantum Cosmology of $f(R,T)$ gravity
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• Configurational entropy in $f(R,T)$ brane models
• Dynamical Instability of Spherical Star in $f(R,T)$ gravity
• A transition from a decelerated to an accelerated phase of the universe expansion from the simplest non-trivial polynomial function of T in the f(R,T) formalism
• Anisotropic Strange Quintessence Stars in $f(R)$ Gravity
• Traversable Wormholes in $f(R,T)$ Gravity
• Reconstruction, Thermodynamics and Stability of $\Lambda$CDM Model in $f(T,\mathcal{T})$ Gravity
• Buchdahl model in f(R, T) gravity: A comparative study with standard Einstein's gravity
• LRS Bianchi type-I cosmological model with constant deceleration parameter in $f(R,T)$ gravity
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity
• Consequences of energy conservation violation: Late time solutions of $\Lambda (T)CDM$ subclass of $f(R,T)$ gravity using dynamical system approach
• Anisotropic stars in modified gravity: An extended gravitational decoupling approach
• Cosmological reconstruction and energy bounds in $f(R,R_{\alpha \beta }{R}^{\alpha \beta },\varphi )$ gravity
• Cosmological consequences and statefinder diagnosis of a non-interacting generalized Chaplygin gas in $f(R,T)$ gravity
• The Einstein dark energy model
• Higher Dimensional Inhomogeneous Perfect Fluid Collapse in \emph{f(R)} Gravity
• Invariant Bianchi type I models in $f\left(R,T\right)$ Gravity
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• Plane symmetric model in $f(R,T)$ gravity
• Reconstructing QCD ghost $f(R,T)$ models
• Fully conservative $f(R,T)$ gravity and Solar System constraints
• Models of Collapsing and Expanding Anisotropic Gravitating Source in $f(R,T)$ Theory of Gravity
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• Role of Extended Gravity Theory in Matter Bounce Dynamics
• Inhomogeneous Perturbations and Stability Analysis of the Einstein Static Universe in f(R,T) Gravity
• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• A cosmological scenario from the Starobinsky model within the $f(R,T)$ formalism
• Finslerian extension of an anisotropic strange star in the domain of modified gravity
• Cosmic evolution in the background of non-minimal coupling in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity
• Coincidence Problem in f(T) Gravity Models
• Notes on Born-Infeld-like modified gravity
• Well behaved class of Heintzmann's solution within $f(R,T)$ framework
• Axially Symmetric Shear-free Fluids in $f(R,T)$ Gravity
• Matter perturbations in Einstein dark energy model
• Formation of Singularity and Apparent Horizon for Dissipative Collapse in $f(R,T)$ Theory of Gravity
• Metric-Affine Myrzakulov Gravity Theories