Codimension Two Branes in Einstein-Gauss-Bonnet Gravity
arXiv:hep-th/0406170 · doi:10.1103/PhysRevD.71.024023
Abstract
Codimension two branes play an interesting role in attacking the cosmological constant problem. Recently, in order to handle some problems in codimension two branes in Einstein gravity, Bostock {\it et al.} have proposed using six-dimensional Einstein-Gauss-Bonnet (EGB) gravity instead of six-dimensional Einstein gravity. In this paper, we present the solutions of codimension two branes in six-dimensional EGB gravity. We show that Einstein's equations take a "factorizable" form for a factorized metric tensor ansatz even in the presence of the higher-derivative Gauss-Bonnet term. Especially, a new feature of the solution is that the deficit angle depends on the brane geometry. We discuss the implication of the solution to the cosmological constant problem. We also comment on a possible problem of inflation model building on codimension two branes.
16 pages, no figures. v2: References added; v3: Reference added, Sec.4 and 5 combined into one; v4: References added, minor corrections, to appear in Physical Review D
References in corpus (65)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- 4D Gravity on a Brane in 5D Minkowski Space
- The Cosmological Constant
- Is Cosmic Speed-Up Due to New Gravitational Physics?
- Where new gravitational physics comes from: M-theory?
- Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
- A Small Cosmological Constant from a Large Extra Dimension
- 1/R Curvature Corrections as the Source of the Cosmological Acceleration
- Self-tuning flat domain walls in 5d gravity and string theory
- The conformal frame freedom in theories of gravitation
- Spacetime as a membrane in higher dimensions
- General Gauss-Bonnet brane cosmology
- Palatini form of 1/R gravity
- Diluting Cosmological Constant In Infinite Volume Extra Dimensions
- Cosmological and black hole brane-world Universes in higher derivative gravity
- Brane World Inflation Induced by Quantum Effects
- Quantum (in)stability of dilatonic AdS backgrounds and holographic renormalization group with gravity
- Stabilization of Sub-Millimeter Dimensions: The New Guise of the Hierarchy Problem
- A Critical Cosmological Constant from Millimeter Extra Dimensions
- Codimension Two Compactifications and the Cosmological Constant Problem
- Einstein gravity on the codimension 2 brane?
- Brane-World Cosmology in Higher Derivative Gravity or Warped Compactification in the Next-to-leading Order of AdS/CFT Correspondence
- Cosmological Evolution in 1/R-Gravity Theory
- Can codimension-two branes solve the cosmological constant problem?
- Inflation in Gauss-Bonnet Brane Cosmology
- Cosmology of codimension-two braneworlds
- Compactification for a Three-Brane Universe
- Spheres, Deficit Angles and the Cosmological Constant
- Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
- Classical Stabilization of Homogeneous Extra Dimensions
- A Conical Tear Drop as a Vacuum-Energy Drain for the Solution of the Cosmological Constant Problem
- No ghost state of Gauss-Bonnet interaction in warped backgrounds
- Football Shaped Extra Dimensions and the Absence of Self-Tuning
- Bounds on curved domain walls in 5d gravity
- Effective Gauss-Bonnet Interaction in Randall-Sundrum Compactification
- Gravitational potential correction with Gauss-Bonnet interaction
- Gravitational excitons from extra dimensions
- Cosmological perturbations from braneworld inflation with a Gauss-Bonnet term
- Observational constraints on braneworld inflation: the effect of a Gauss-Bonnet term
- Warped brane-world compactification with Gauss-Bonnet term
- Gravity on a 3-brane in 6D Bulk
- A Note on Inflation with Tachyon Rolling on the Gauss-Bonnet Brane
- Completely localized gravity with higher curvature terms
- Nonlinear multidimensional cosmological models with form fields: stabilization of extra dimensions and the cosmological constant problem
- Quasi-Thick Codimension 2 Braneworld
- Stabilization of internal spaces in multidimensional cosmology
- Holographic entropy and brane FRW-dynamics from AdS black hole in d5 higher derivative gravity
- Gravitational Perturbations of a Six Dimensional Self-Tuning Model
- Brane worlds with bolts
- Can we live in a self-tuning universe?
- Multidimensional cosmological models: cosmological and astrophysical implications and constraints
- Cosmology of intersecting brane world models in Gauss-Bonnet gravity
- Spacetime structure of the global vortex
- Multidimensional perfect fluid cosmology with stable compactified internal dimensions
- Higher codimension braneworlds from intersecting branes
- A note on dynamical stabilization of internal spaces in multidimensional cosmology
- A Remark on Smoothing Out Higher Codimension Branes
- Toward Solving the Cosmological Constant Problem?
- Inflating p-branes
- Regularization of the linearized gravitational self-force for branes
- Diluting solutions of the cosmological constant problem
- A Novel Approach to the Cosmological Constant Problem
Cited by in corpus (8)
- On braneworld cosmologies from six dimensions, and absence thereof
- Gravitational Waves in a Codimension Two Braneworld
- Hamiltonian formulation of curvature squared action
- Magnetic Branes in Third Order Lovelock-Born-Infeld Gravity
- The cosmological constant problem in codimension-two brane models
- Warping with dilatation symmetry and self-tuning of the cosmological constant
- Constraints for warped branes
- Exact solutions of embedding the four-dimensional perfect fluid in a five- or higher-dimensional Einstein spacetime and the cosmological interpretations