Compact relativistic geometries in $f(R,G)$ gravity

Abstract

One of the possible potential candidates for describing the universe's rapid expansion is modified gravity. In the framework of the modified theory of gravity $f(R,G)$, the present work features the materialization of anisotropic matter, such as compact stars. Specifically, to learn more about the physical behavior of compact stars, the radial, and tangential pressures as well as the energy density of six stars namely $HerX-1$, $SAXJ1808.4-3658$, $4U1820-30$, $PSRJ16142230$, $VELAX-1$, and $CenX-3$ are calculated. Herein, the modified theory of gravity $f(R,G)$ is disintegrated into two parts i.e. the $\tanh$ hyperbolic $f(R)$ model and the three different $f(G)$ model. The study focuses on graphical analysis of compact stars wherein the stability aspects, energy conditions, and anisotropic measurements are mainly addressed. Our calculation revealed that, for the positive value of parameter n of the model $f(G)$, all the six stars behave normally.

Some changes have been made. " To appear in International Journal of Geometric Methods in Modern Physics"

References in corpus (33)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Construction of cosmologically viable f(G) gravity models
• The Cosmology of Modified Gauss-Bonnet Gravity
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Energy conditions in f(R)-gravity
• Extreme neutron stars from Extended Theories of Gravity
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Energy conditions in the epoch of galaxy formation
• From inflation to dark energy in the non-minimal modified gravity
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Slowly rotating neutron and strange stars in $R^2$ gravity
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• Energy Conditions and Cosmic Acceleration
• A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework
• Rapidly rotating neutron stars in $R$-squared gravity
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity
• Some Exact Solutions in $f(\mathcal{G},T)$ Gravity via Noether Symmetries
• Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems
• Energy Conditions and Supernovae Observations
• Cylindrically Symmetric Models of Anisotropic Compact Stars
• Evolution of Compact Stars and Dark Dynamical Variables
• Gravastars in $f(R,G)$ Gravity
• Geometrization of light bending and its application to SdSw spacetime
• Two-fluid dark matter models
• Universal Inflationary Attractors Implications on Static Neutron Stars
• Gauss-Bonnet lagrangian G ln G and cosmological exact solutions
• Novel Stellar Astrophysics from Extended Gravity

Cited by in corpus (1)

• Charged Compact Stars in Extended $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity