Domain walls without cosmological constant in higher order gravity

Abstract

We consider a class of higher order corrections with arbitrary power $n$ of the curvature tensor to the standard gravity action in arbitrary space-time dimension $D$. The corrections are in the form of Euler densities and are unique at each $n$ and $D$. We present a generating functional and an explicit form of the corresponding conserved energy-momentum tensors. The case of conformally flat metrics is discussed in detail. We show that this class of corrections allows for domain wall solutions since, despite the presence of higher powers of the curvature tensor, the singularity structure at the wall is of the same type as in the standard gravity. However, models with higher order corrections have larger set of domain wall solutions and the existence of these solutions no longer depends on the presence of cosmological constants. We find for example that the Randall-Sundrum scenario can be realized without any need for bulk and/or brane cosmological constant.

latex, 10 pages, introduction extended, references added, typos corrected

References in corpus (11)

• Self-tuning flat domain walls in 5d gravity and string theory
• Brane New World
• Brane World Inflation Induced by Quantum Effects
• A Comment on Self-Tuning and Vanishing Cosmological Constant in the Brane World
• String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
• Brane-World Cosmology in Higher Derivative Gravity or Warped Compactification in the Next-to-leading Order of AdS/CFT Correspondence
• Quantum Cosmology and AdS/CFT
• Consistency of Higher Derivative Gravity in the Brane Background
• Various Modified Solutions of the Randall-Sundrum Model with the Gauss-Bonnet Interaction
• Naked Singularity and Gauss-Bonnet Term in Brane World Scenarios
• Supersymmetric Brane-Worlds

Cited by in corpus (52)

• Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
• General Gauss-Bonnet brane cosmology
• Cosmological and black hole brane-world Universes in higher derivative gravity
• Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe
• Inflation in Gauss-Bonnet Brane Cosmology
• Brane cosmology with curvature corrections
• Covariant Gravitational Equations on Brane World with Gauss-Bonnet term
• Higher order gravity theories and their black hole solutions
• Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
• No ghost state of Gauss-Bonnet interaction in warped backgrounds
• String inspired braneworld cosmology
• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• Cosmological perturbations from braneworld inflation with a Gauss-Bonnet term
• Warped brane-world compactification with Gauss-Bonnet term
• Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
• Completely localized gravity with higher curvature terms
• Scalar brane backgrounds in higher order curvature gravity
• Spherically symmetric brane in a bulk of f(R) and Gauss-Bonnet Gravity
• Brane localization of gravity in higher derivative theory
• Off-the-Wall Higgs in the Universal Randall-Sundrum Model
• Counterterms, Kounterterms, and the variational problem in AdS gravity
• Aspects of Scalar Field Dynamics in Gauss-Bonnet Brane Worlds
• Gravitational baryogenesis in Gauss-Bonnet braneworld cosmology
• Warped Phenomenology of Higher-Derivative Gravity
• Chaotic Inflation on the Brane with Induced Gravity
• Generalized Israel Junction Conditions for a Fourth-Order Brane World
• On the thin-shell limit of branes in the presence of Gauss-Bonnet interactions
• 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
• Brane f(R) gravity cosmologies
• New brane solutions in higher order gravity
• Lagrangian Brane Dynamics in General Relativity and Einstein-Gauss-Bonnet Gravity
• Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk
• Brane Worlds, String Cosmology, and AdS/CFT
• Gauss-Bonnet brane gravity with a confining potential
• Gibbons-Hawking Boundary Terms and Junction Conditions for Higher-Order Brane Gravity Models
• Gravitation with superposed Gauss--Bonnet terms in higher dimensions: Black hole metrics and maximal extensions
• $Z_N$ orbifold compactifications in $Ad{S}_6$ with Gauss-Bonnet term
• Lovelock inflation and the number of large dimensions
• Critical Higher Order Gravities in Higher Dimensions
• Graviton emission from a Gauss-Bonnet brane
• Randall-Sundrum limit of f(R) brane-world models
• Higgs inflation in Gauss-Bonnet braneworld
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• Gauss-Bonnet brane-world cosmology without $Z_2$-symmetry
• Critical Cosmology in Higher Order Gravity
• Generalization of Einstein-Lovelock theory to higher order dilaton gravity
• Scalar-Tensor Gravity on a Gauss-Bonnet Brane World
• An ostentatious model of cosmological scalar-tensor theory
• Dilaton Brane Cosmology with Second Order String Corrections and the Cosmological Constant
• Higher order dilaton gravity: brane equations of motion in the covariant formulation
• Non-factorisable metrics and Gauss--Bonnet terms in higher dimensions