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.

arXiv comment18 pages

References in corpus (46)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Testing General Relativity with Present and Future Astrophysical Observations
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Cosmology and fundamental physics with the Euclid satellite
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• Relativistic images of Schwarzschild black hole lensing
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Spherically symmetric dissipative anisotropic fluids: A general study
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Modelling wormholes in $f(R,T)$ gravity
• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• Nonadiabatic charged spherical gravitational collapse
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• On the role of density inhomogeneity and local anisotropy in the fate of spherical collapse
• Friedmann-Robertson-Walker brane cosmological equations from the five-dimensional bulk (A)dS black hole
• Jeans analysis of self-gravitating systems in f(R)-gravity
• Role of the scalar field in gravitational lensing
• The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids
• On the Role of Electric Charge and Cosmological Constant in Structure Scalars
• Cosmological viable f(R,T) dark energy model: dynamics and stability
• 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
• Tilted Lemaitre-Tolman-Bondi Spacetimes: Hydrodynamic and Thermodynamic Properties
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• Stability Analysis of Stellar Radiating Filaments
• Cavity Evolution and Instability Constraints of Relativistic Interiors
• Instability of Meridional Axial System in f(R) Gravity
• Influence of Electric Charge and Modified Gravity on Density Irregularities
• Energy Density Inhomogeneities with Polynomial $f(R)$ Cosmology
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• Cylindrical Collapse and Gravitational Waves
• The Raychaudhuri equation in homogeneous cosmologies
• The Gibbs paradox, the Landauer principle and the irreversibility associated with tilted observers
• Frame dragging and super-energy
• The theory of gravitation: A tale of many questions and few answers

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• Quasi Static Evolution of Compact Objects in Modified Gravity
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