On the Role of $f(G,T)$ Terms in Structure Scalars

Abstract

This work is devoted to explore the effects of $f(G,T)$ terms on the study of structure scalars and their influences in the formulations of the Raychaudhuri, shear and Weyl scalar equations. For this purpose, we have assumed non-static spherically symmetric geometry coupled with shearing viscous locally anisotropic dissipative matter content. We have developed relations among the Misner-Sharp mass, Weyl scalar, matter and structure variables. We have also formulated set of $f(G,T)$ structure scalars after orthogonally breaking down of the Riemann curvature tensor. The influences of these scalar functions in the modeling of relativistic radiating spheres are also studied. The factor involved in the emergence of inhomogeneities is also explored for the constant and varying modified curvature corrections. We inferred that $f(G,T)$ structure scalars could lead provide an effective tool to study Penrose-Hawking singularity theorems and Newman-Penrose formalism.

18 pages

References in corpus (17)

• 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
• Relativistic images of Schwarzschild black hole lensing
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Modelling wormholes in $f(R,T)$ gravity
• Nonadiabatic charged spherical gravitational collapse
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Time-dependent matter instability and star singularity in $F(R)$ gravity
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects
• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• Stability Analysis of Stellar Radiating Filaments
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• The Gibbs paradox, the Landauer principle and the irreversibility associated with tilted observers
• Frame dragging and super-energy

Cited by in corpus (11)

• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• $f(\mathcal{G},T_{\alpha \beta }{T}^{\alpha \beta })$ Theory and Complex Cosmological Structure
• Construction of Charged Cylindrical Gravastar-like Structures
• Dynamical Analysis of Self-gravitating Stars in Modified Gauss-Bonnet Gravity
• Role of Structure Scalars on the evolution of Compact Objects in Palatini $f(R)$ Gravity
• Stable Charged Radiating Systems Associated with Tilted Observers
• Evolution of Cluster of Stars in f(R) Gravity
• The simplest parametrization of equation of state parameter in the scalar field Universe
• A Complete Cosmological Scenario in Teleparallel Gravity
• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• Quasi Static Evolution of Compact Objects in Modified Gravity