Gravitational potential correction with Gauss-Bonnet interaction

Abstract

A treatment of linearized gravity with the Einstein-Gauss-Bonnet interaction terms in $D\ge$ 5 is given in the Randall-Sundrum brane background. This Letter has outlined some interesting features of the brane world gravity and Newtonian potential correction with the GB interaction term. We find that the GB coupling $\alpha$ renormalizes the effective four-dimensional Newton constant on the brane, and also additionally contributes to the correction term of the Newtonian potential. Indeed, the GB term does not affect the massless graviton mode and the Einstein gravity on the brane, and quite interestingly, such term in $D\ge 5$ appears to give more information about the necessary boundary condition(s) to be satisfied by the zero mode wavefunction on the brane(s). small (and preferably positive) GB coupling $\alpha$.

10 pages, no figures, LaTex, with Addendum

References in corpus (3)

• No ghost state of Gauss-Bonnet interaction in warped backgrounds
• Localized gravity and mass hierarchy in D=6 with the Gauss-Bonnet term
• Living Inside the Horizon of the D3-Brane

Cited by in corpus (53)

• General Gauss-Bonnet brane cosmology
• Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
• Inflation in Gauss-Bonnet Brane Cosmology
• Covariant Gravitational Equations on Brane World with Gauss-Bonnet term
• Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
• Brane worlds
• No ghost state of Gauss-Bonnet interaction in warped backgrounds
• Avoidance of Naked Singularities in Dilatonic Brane World Scenarios with a Gauss-Bonnet Term
• Braneworld holography in Gauss-Bonnet gravity
• String inspired braneworld cosmology
• Domain wall brane in squared curvature gravity
• Cosmological perturbations from braneworld inflation with a Gauss-Bonnet term
• Mimicking Lambda with a spin-two ghost condensate
• Warped brane-world compactification with Gauss-Bonnet term
• Tensor perturbations of $f(R)$-branes
• Tensor perturbations of $f(T)$-branes
• Brane World Cosmology with Gauss-Bonnet Interaction
• Surface terms and the Gauss-Bonnet Hamiltonian
• A Vaidya-type radiating solution in Einstein-Gauss-Bonnet gravity and its application to braneworld
• Completely localized gravity with higher curvature terms
• Aspects of Scalar Field Dynamics in Gauss-Bonnet Brane Worlds
• De Sitter brane-world, localization of gravity, and the cosmological constant
• Gravitational baryogenesis in Gauss-Bonnet braneworld cosmology
• Five-dimensional black strings in Einstein-Gauss-Bonnet gravity
• On the thin-shell limit of branes in the presence of Gauss-Bonnet interactions
• Gauss-Bonnet gravity, brane world models, and non-minimal coupling
• Cosmology of intersecting brane world models in Gauss-Bonnet gravity
• Gauss-Bonnet Cosmology with Induced Gravity and Non-Minimally Coupled Scalar Field on the Brane
• Modified brane cosmologies with induced gravity, arbitrary matter content and a Gauss-Bonnet term in the bulk
• Dark matter relic density in Gauss-Bonnet braneworld cosmology
• Low energy effective gravitational equations on a Gauss-Bonnet brane
• Liouville-like solutions in dilaton gravity with Gauss-Bonnet modifications
• Gauss-Bonnet brane gravity with a confining potential
• Natural Braneworld Inflation in Light of Recent Results from Planck and BICEP2
• Inflationary attractor in Gauss-Bonnet brane cosmology
• Warped compactification to de Sitter space
• Note on the Gauss-Bonnet braneworld scenario
• Creation of a brane world with Gauss-Bonnet term
• Graviton emission from a Gauss-Bonnet brane
• Higgs inflation in Gauss-Bonnet braneworld
• Gauss-Bonnet assisted braneworld inflation in light of BICEP2 and Planck data
• Geodesics, the Equivalence Principle and Singularities in Higher-dimensional General Relativity and Braneworlds
• Codimension Two Branes in Einstein-Gauss-Bonnet Gravity
• Effective actions of a Gauss-Bonnet brane world with brane curvature terms
• 4D gravity on a brane from bulk higher-curvature terms
• Gauss-Bonnet brane-world cosmology without $Z_2$-symmetry
• Warped Brane worlds in Critical Gravity
• Effective cosmological equations of induced f(R) gravity
• Synergistic Gravity and the Role of Resonances in GRS-Inspired Braneworlds
• Ghosts in the self-accelerating DGP branch with Gauss-Bonnet effect
• Dilaton Brane Cosmology with Second Order String Corrections and the Cosmological Constant
• Scalar cosmological perturbations in the Gauss-Bonnet braneworld
• No Go Theorem for Self Tuning Solutions With Gauss-Bonnet Terms