Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity

Abstract

Based on a stringy inspired Gauss-Bonnet (GB) modification of classical gravity, we constructed a model for neutron stars. We derived the modified forms of Tolman-Oppenheimer-Volkoff (TOV) equations for a generic function of $f(G)$ gravity. The hydrostatic equations remained unchanged but the dynamical equations for metric functions are modified due to the effects of GB term.

Version accepted in "International Journal of Geometric Methods in Modern Physics"

References in corpus (17)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• 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
• Generalized energy conditions in Extended Theories of Gravity
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Accelerating cosmologies from non-local higher-derivative gravity
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space
• Gauss-Bonnet dark energy by Lagrange multipliers
• Modified gravity as realistic candidate for dark energy, inflation and dark matter
• Extended Theories of Gravity with Generalized Energy Conditions
• Modified gravity: walk through accelerating cosmology
• The Weak Field Limit of Fourth Order Gravity

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• Relativistic Krori-Barua Compact Stars in $f(R,T)$ Gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity
• Ricci Inverse Anisotropic Stellar Structures
• Study of Compact Stars in $\mathcal{R}+\alpha \mathcal{A}$ Gravity
• Massive Compact Bardeen Stars with Conformal Motion
• Rapidly rotating neutron stars in $f(R,T)$ gravity
• Tolman-Oppenheimer-Volkoff equation and static spheres in Conformal Killing gravity