Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
arXiv:1408.3626 · doi:10.1142/S0219887815500140
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 gravity. The hydrostatic equations remained unchanged but the dynamical equations for metric functions are modified due to the effects of GB term.
arXiv commentVersion accepted in "International Journal of Geometric Methods in Modern Physics"
References in corpus (36)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- 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
- Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
- Modified Gauss-Bonnet theory as gravitational alternative for dark energy
- Extended Theories of Gravity and their Cosmological and Astrophysical Applications
- Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
- Gauss-Bonnet dark energy
- Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
- Finite-time future singularities in modified Gauss-Bonnet and gravity and singularity avoidance
- Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
- Modified gravity and its reconstruction from the universe expansion history
- Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
- Further stable neutron star models from f(R) gravity
- 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
- Maximal neutron star mass and the resolution of hyperon puzzle in modified gravity
- Dark energy problem: from phantom theory to modified Gauss-Bonnet gravity
- Generalized energy conditions in Extended Theories of Gravity
- Tests of the Accelerating Universe with Near-Infrared Observations of a High-Redshift Type Ia Supernova
- Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
- Accelerating cosmologies from non-local higher-derivative gravity
- Equivalence of modified gravity equation to the Clausius relation
- Noether Symmetry Approach in Gauss-Bonnet Cosmology
- Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
- Modified gravity with logarithmic curvature corrections and the structure of relativistic stars
- 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
- Higher-Order Gauss-Bonnet Cosmology
- A review about Invariance Induced Gravity: Gravity and Spin from Local Conformal-Affine Symmetry
- Modified gravity: walk through accelerating cosmology
- Universe acceleration in modified gravities: and cases
- The Weak Field Limit of Fourth Order Gravity
Cited by in corpus (20)
- Extreme neutron stars from Extended Theories of Gravity
- Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
- Possible Formation of Compact Stars in Gravity
- Anisotropic Compact Stars in Gravity
- Study of Embedded Class-I Fluid Spheres in Gravity with Karmarkar Condition
- Relativistic Krori-Barua Compact Stars in Gravity
- Finite-time Cosmological Singularities and the Possible Fate of the Universe
- Gravastars in Gravity
- Emerging Anisotropic Compact Stars in Gravity
- Tolman-Oppenheimer-Volkoff equations in non-local gravity
- Ricci Inverse Anisotropic Stellar Structures
- Dilatonic Equation of Hydrostatic Equilibrium and Neutron Star Structure
- Study of Compact Stars in Gravity
- Massive Compact Bardeen Stars with Conformal Motion
- Embedded Class-I Solution of Compact Stars in Gravity with Karmarkar Condition
- Rapidly rotating neutron stars in gravity
- Rapidly rotating compact stars in Rastall's gravity
- Stellar Hydrostatic Equilibrium Compact Structures in Gravity
- Tolman-Oppenheimer-Volkoff equation and static spheres in Conformal Killing gravity
- Dilatonic black holes in superstring gravity