Braneworld holography in Gauss-Bonnet gravity
arXiv:hep-th/0304250 · doi:10.1088/0264-9381/20/19/307
Abstract
We investigate holography on an (n-1)-dimensional brane embedded in a background of AdS black holes, in n-dimensional Gauss-Bonnet gravity. We demonstrate that for a critical brane near the AdS boundary, the Friedmann equation corresponds to that of the standard cosmology driven by a CFT dual to the AdS bulk. We show that there is no holographic description for non-critical branes, or when the brane is further away from the AdS boundary. We then derive a Cardy-Verlinde formula for the dual CFT on the critical brane near the boundary. This gives us insight into the remarkable correspondence between Cardy-Verlinde formulae and Friedmann equations in Einstein gravity.
24 pages, no figures; references added, minor changes, version to appear in CQG
References in corpus (50)
- Gauge Theory Correlators from Non-Critical String Theory
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- Non-conventional cosmology from a brane-universe
- Gauss-Bonnet Black Holes in AdS Spaces
- Brane cosmological evolution in a bulk with cosmological constant
- Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
- Energy in Generic Higher Curvature Gravity Theories
- AdS/CFT and gravity
- Holography and Compactification
- Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
- Linearized Gravity in Brane Backgrounds
- Gravitational Energy in Quadratic Curvature Gravities
- Black Hole Scan
- General Gauss-Bonnet brane cosmology
- Brane New World
- The Large N Limit of Field Theories from Threebranes in F-theory
- D-instantons, Strings and M-theory
- Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
- Cosmological and black hole brane-world Universes in higher derivative gravity
- Brane versus shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories
- Friedmann-Robertson-Walker brane cosmological equations from the five-dimensional bulk (A)dS black hole
- On the Holographic Principle in a Radiation Dominated Universe
- Randall-Sundrum II Cosmology, AdS/CFT, and the Bulk Black Hole
- CFT and Entropy on the Brane
- Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe
- Brane-World Cosmology in Higher Derivative Gravity or Warped Compactification in the Next-to-leading Order of AdS/CFT Correspondence
- Large N Superconformal Gauge Theories and Supergravity Orientifolds
- Inflation in Gauss-Bonnet Brane Cosmology
- Cardy-Verlinde Formula and AdS Black Holes
- Thermodynamic and gravitational instability on hyperbolic spaces
- Black hole entropy in string-generated gravity models
- 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
- Killing Spinors and SYM on Curved Spaces
- Effective Gauss-Bonnet Interaction in Randall-Sundrum Compactification
- Gravitational potential correction with Gauss-Bonnet interaction
- Brane World Cosmology with Gauss-Bonnet Interaction
- Surface terms and the Gauss-Bonnet Hamiltonian
- Exact braneworld cosmology induced from bulk black holes
- Holographic entropy and brane FRW-dynamics from AdS black hole in d5 higher derivative gravity
- Finite gravitational action for higher derivative and stringy gravities
- Running of the Scalar Spectral Index and Observational Signatures of Inflation
- CFTs on Non-Critical Braneworlds
- Holography and Entropy Bounds in Gauss-Bonnet Gravity
- Braneworld Cosmology and Holography
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- Restoring Holographic Dark Energy in Brane Cosmology
- Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon
- Holographic Dark Energy in Braneworld Models with a Gauss-Bonnet Term in the Bulk. Interacting Behavior and the w =-1 Crossing
- Black Holes in Pure Lovelock Gravities
- On Gauss-Bonnet black hole entropy
- Brane cosmology with curvature corrections
- Covariant Gravitational Equations on Brane World with Gauss-Bonnet term
- Quintessential Inflation on the Brane and the Relic Gravity Wave Background
- Higher order gravity theories and their black hole solutions
- Finite action principle for Chern-Simons AdS gravity
- Slow-roll parameters in braneworld cosmologies
- Holographic Dark Energy in Braneworld Models with Moving Branes and the w=-1 Crossing
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- Mimicking Lambda with a spin-two ghost condensate
- Cosmological perturbations from braneworld inflation with a Gauss-Bonnet term
- Cosmic acceleration from asymmetric branes
- The Instability of Vacua in Gauss-Bonnet Gravity
- A Note on Inflation with Tachyon Rolling on the Gauss-Bonnet Brane
- A Vaidya-type radiating solution in Einstein-Gauss-Bonnet gravity and its application to braneworld
- Scalar brane backgrounds in higher order curvature gravity
- de Sitter thermodynamics and the braneworld
- Einstein-Gauss-Bonnet metrics: black holes, black strings and a staticity theorem
- Braneworld dynamics in Einstein-Gauss-Bonnet gravity
- Mirage effects on the brane
- Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
- Ghost-free braneworld bigravity
- Patch dualities and remarks on nonstandard cosmologies
- Aspects of Scalar Field Dynamics in Gauss-Bonnet Brane Worlds
- Brane-bulk matter relation for a purely conical codimension-2 brane world
- Five-dimensional black strings in Einstein-Gauss-Bonnet gravity
- On five-dimensional non-extremal charged black holes and FRW cosmology
- Holographic entanglement entropy of de Sitter braneworld
- Accelerated Expansion of the Universe in Gauss-Bonnet Gravity
- On the thin-shell limit of branes in the presence of Gauss-Bonnet interactions
- Gravitational collapse in braneworld models with curvature corrections
- Cosmology of intersecting brane world models in Gauss-Bonnet gravity
- Stealth Acceleration and Modified Gravity
- Hamiltonian formulation of curvature squared action
- Viability of Noether symmetry of F(R) theory of gravity
- Canonical formulation of curvature squared action in the presence of lapse function
- Liouville-like solutions in dilaton gravity with Gauss-Bonnet modifications
- Low energy effective gravitational equations on a Gauss-Bonnet brane
- Inflationary attractor in Gauss-Bonnet brane cosmology
- Global properties of dilatonic Gauss-Bonnet black holes
- Canonical formulation of scalar curvature squared action in higher dimensions
- Gauss-Bonnet braneworld redux: A novel scenario for the bouncing universe
- A covariant approach to braneworld holography
- Black hole solutions of dimensionally reduced Einstein-Gauss-Bonnet gravity
- Holography in Einstein Gauss-Bonnet Gravity
- Phantom-like effects in asymmetric brane embedding with induced gravity and the Gauss-Bonnet term in the Bulk
- Braneworld Isotropization and Magnetic Fields
- Graviton emission from a Gauss-Bonnet brane
- Tachyon and Quintessence Brane-World Universe
- Gauss-Bonnet brane-world cosmology without -symmetry
- Partially Massless Spin-2 Fields in String Generated Models
- Intersecting hypersurfaces and Lovelock Gravity
- Brane Cosmology from Heterotic String Theory