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.

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

References in corpus (70)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• f(T) teleparallel gravity and cosmology
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• 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
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Further stable neutron star models from f(R) gravity
• 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
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• Extreme neutron stars from Extended Theories of Gravity
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• Maximal neutron star mass and the resolution of hyperon puzzle in modified gravity
• Neutron Star Masses and Radii from Quiescent Low-Mass X-ray Binaries
• Regular black hole metrics and the weak energy condition
• Existence of relativistic stars in f(T) gravity
• Constraints on Perturbative f(R) Gravity via Neutron Stars
• Energy conditions and galaxy formation
• Energy conditions in the epoch of galaxy formation
• From inflation to dark energy in the non-minimal modified gravity
• Energy Conditions and Stability in $f(R)$ theories of gravity with non-minimal coupling to matter
• Extended Gravity Description for the GW190814 Supermassive Neutron Star
• Energy conditions in $f(R,G)$ gravity
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
• Slowly rotating neutron and strange stars in $R^2$ gravity
• Generalized Gravity and a Ghost
• Spacelike Singularities and Hidden Symmetries of Gravity
• Cosmological Constraints on $f(G)$ Dark Energy Models
• 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
• Maximum Mass-Radius Ratio for Compact General Relativistic Objects in Schwarzschild- de Sitter Geometry
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity
• Existence of Compact Structures in $f(R,T)$ Gravity
• Charged Compact Stars in $f(\mathcal{G})$ Gravity
• Some Exact Solutions in $f(\mathcal{G},T)$ Gravity via Noether Symmetries
• f(G) modified gravity and the energy conditions
• Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems
• Energy Conditions and Supernovae Observations
• Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories
• Cylindrically Symmetric Models of Anisotropic Compact Stars
• Connecting Synchrotron, Cosmic Rays, and Magnetic Fields in the Plane of the Galaxy
• Remarks on generalized Gauss-Bonnet dark energy
• Anisotropic Strange Quintessence Stars in $f(R)$ Gravity
• Maximum Baryon Masses for Static Neutron Stars in $f(R)$ Gravity
• 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
• Stability Analysis of Einstein Universe in $f(\mathcal{G},T)$ Gravity
• Orbital and epicyclic frequencies around neutron and strange stars in $R^2$ gravity
• A Nearly Massless Graviton in Einstein-Gauss-Bonnet Inflation with Linear Coupling Implies Constant-roll for the Scalar Field
• Gravitoelectromagnetism and other decompositions of the Riemann tensor
• Gauss-Bonnet lagrangian G ln G and cosmological exact solutions
• Compact Stars in $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity
• Dissipative Spherical Collapse of Charged Anisotropic Fluid in f(R) Gravity
• Novel Stellar Astrophysics from Extended Gravity

Cited by in corpus (1)

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