Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures

Abstract

The aim of this paper is to generalize the definition of complexity for the static self-gravitating structure in $f(R,T,Q)$ gravitational theory, where $R$ is the Ricci scalar, $T$ is the trace part of energy momentum tensor and $Q\equiv R_{\alpha \beta }{T}^{\alpha \beta }$. In this context, we have considered locally anisotropic spherical matter distribution and calculated field equations and conservation laws. After the orthogonal splitting of the Riemann curvature tensor, we found the corresponding complexity factor with the help of structure scalars. It is seen that the system may have zero complexity factor if the effects of energy density inhomogeneity and pressure anisotropy cancel the effects of each other. All of our results reduce to general relativity on assuming $f(R,T,Q)=R$ condition.

Accepted by MNRAS

References in corpus (18)

• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Limit to General Relativity in f(R) theories of gravity
• 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
• Dynamical laws of superenergy in General Relativity
• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• Construction of Charged Cylindrical Gravastar-like Structures
• On the Role of $f(G,T)$ Terms in Structure Scalars
• Stability Analysis of Stellar Radiating Filaments
• Evolution of Compact Stars and Dark Dynamical Variables
• Matter may matter
• 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
• Gravastars in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Gödel-type solutions within the f(R,Q) gravity

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