Influence of Electric Charge and Modified Gravity on Density Irregularities

This work aims to identify some inhomogeneity factors for plane symmetric topology with anisotropic and dissipative fluid under the effects of both electromagnetic field as well as Palatini $f(R)$ gravity. We construct the modified field equations, kinematical quantities and mass function to continue our analysis. We have explored the dynamical quantities, conservation equations and modified Ellis equations with the help of a viable $f(R)$ model. Some particular cases are discussed with and without dissipation to investigate the corresponding inhomogeneity factors. For non-radiating scenario, we examine such factors with dust, isotropic and anisotropic matter in the presence of charge. For dissipative fluid, we investigate the inhomogeneity factor with charged dust cloud. We conclude that electromagnetic field increases the inhomogeneity in matter while the extra curvature terms make the system more homogeneous with the evolution of time.Comment: 28 pages, no figure, version accepted for publication in European Physical Journal

Existence of Compact Structures in f(R,T)f(R,T) Gravity

The present paper is devoted to investigate the possible emergence of relativistic compact stellar objects through modified $f(R,T)$ gravity. For anisotropic matter distribution, we used Krori and Barura solutions and two notable and viable $f(R,T)$ gravity formulations. By choosing particular observational data, we determine the values of constant in solutions for three relativistic compact star candidates. We have presented some physical behavior of these relativistic compact stellar objects and some aspects like energy density, radial as well as transverse pressure, their evolution, stability, measure of anisotropy and energy conditions.Comment: 27 pages, 13 figures, version accepted for publication in European Physical Journal

Role of f(R,T,RμνTμν)f(R,T,R_{\mu\nu}T^{\mu\nu}) Model on the Stability of Cylindrical Stellar Model

The aim of this paper is to investigate the stable/unstable regimes of the non-static anisotropic filamentary stellar models in the framework of $f(R,T,R_{\mu\nu}T^{\mu\nu})$ gravity. We construct the field equations and conservation laws in the perspective of this gravity. The perturbation scheme is applied to analyze the behavior of a particular $f(R,T,R_{\mu\nu}T^{\mu\nu})$ cosmological model on the evolution of cylindrical system. The role of adiabatic index is also checked in the formulations of instability regions. We have explored the instability constraints at Newtonian and post-Newtonian limits. Our results reinforce the significance of adiabatic index and dark source terms in the stability analysis of celestial objects in modified gravity.Comment: 29 pages, no figure, version accepted for publication in European Physical Journal

Evolution of Inhomogeneous LTB Geometry with Tilted Congruence and Modified Gravity

The goal of this paper is to shed some light on the significance of congruence of observers which seems to affect the dynamics of the universe under Palatini f (R) formalism. Starting by setting up the formalism needed, we have explored the field equations using Lemaitre-Tolman-Bondi geometry as an interior metric. We have formulated the relationship between the matter variables as seen by the observers in both comoving and non-comoving frames. The dynamical equations are evaluated to study the dynamics of inhomogeneous universe by exploring conservation equations along with the Ellis equations. We have also explored a collapsing factor describing the bouncing phenomena via transport equation and conclude the stability region.The accepted manuscript in pdf format is listed with the files at the bottom of this page. The presentation of the authors' names and (or) special characters in the title of the manuscript may differ slightly between what is listed on this page and what is listed in the pdf file of the accepted manuscript; that in the pdf file of the accepted manuscript is what was submitted by the author