Stellar Structures in $f(\mathcal{G})$ Gravity with Tolman-Kuchowicz Spacetime

Abstract

This paper is devoted to explore some relativistic configurations of stellar objects for static spherically symmetric structures in the context of modified $f(\mathcal{G})$ gravity, by exploiting the Tolman-Kuchowicz spacetime [1,2]. We develop the equations of motion for spherically symmetric spacetime in the presence of anisotropic matter distribution by considering the physically valid expressions of the metric potentials, $\nu =B{r}^2+2lnC$ and $\lambda =ln(1+a{r}^2+b{r}^4)$. To attain the values of the unknown constants we consider the observational data of $CenX-3$, $EXO1785-248$ and $LMCX-4$ star models. Further, by using evaluated form of the solutions we provide many aspects which are described by the physical status like effective energy density, components of radial and transverse pressure, energy conditions, stability against equilibrium of the forces, speed of sound, mass-radius relation, surface redshift, compactness parameter, adiabatic index and anisotropic measurement. It is observed that all these features follow physically accepted patterns and the resulting outcome is in the experimental range which depicts the viability of our presented $f(\mathcal{G})$ gravity models.

16 pages, accepted for publication in Physics of the Dark Universe

References in corpus (16)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• Extreme neutron stars from Extended Theories of Gravity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Energy conditions in the epoch of galaxy formation
• Nonperturbative models of quark stars in $f(R)$ gravity
• Non-radial oscillations of anisotropic neutron stars in the Cowling approximation
• Collapsing spherical stars in f(R) gravity
• Anisotropic Compact Stars in $f(G)$ Gravity
• Energy Conditions and Cosmic Acceleration
• Possibility of higher dimensional anisotropic compact star
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Inevitable ghost and the degrees of freedom in f(R,G) gravity
• Cylindrically Symmetric Models of Anisotropic Compact Stars
• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity

Cited by in corpus (1)

• Stability of the isotropic pressure condition