Brane worlds

Abstract

This is an introductory review of gravity on branes with an emphasis on codimension 1 models. However, for a new result it is also pointed out that the cosmological evolution of the 3-brane in the model of Dvali, Gabadadze and Porrati may follow the standard Friedmann equation. Contents: 1. Introduction 2. Conventions 3. The Lanczos-Israel matching conditions 4. The action principle with codimension 1 hypersurfaces: Need for the Gibbons-Hawking term 5. The Newtonian limit on thin branes 6. A remark on black holes in the model of Dvali, Gabadadze and Porrati 7. The cosmology of codimension 1 brane worlds

25 pages

References in corpus (3)

• Spacetime as a membrane in higher dimensions
• Gravitational potential correction with Gauss-Bonnet interaction
• Black holes on thick branes

Cited by in corpus (72)

• Braneworld models of dark energy
• Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity
• Cosmological consequences of a Chaplygin gas dark energy
• Diluting Cosmological Constant In Infinite Volume Extra Dimensions
• Supernovae, CMB, and Gravitational Leakage into Extra Dimensions
• Scales of Gravity
• Scalar kinks and fermion localisation in warped spacetimes
• The Supersymmetric Origin of Matter
• Softly Massive Gravity
• Geodetic Brane Gravity
• Lookback time as a test for brane cosmology
• Magnetized Four-Dimensional $Z_2\times Z_2$ Orientifolds
• Graviton Mass or Cosmological Constant?
• Brane World Cosmology with Gauss-Bonnet Interaction
• Perturbations of Self-Accelerated Universe
• See-Saw Modification of Gravity
• Age Constraints on Brane Models of Dark Energy
• Mass dimension one fermions: Constructing darkness
• Stealth Branes
• DGP Cosmology with a Non-Minimally Coupled Scalar Field on the Brane
• Cosmic acceleration in brane cosmology
• Short distance non-perturbative effects of large distance modified gravity
• (De)coupling Limit of DGP
• Emergent Dark Universe and the Swampland Criteria
• Brane universes tested against astronomical data
• Brane universes tested by supernovae
• The Deformable Universe
• Modified GBIG Scenario as an Alternative for Dark Energy
• Lagrangian Brane Dynamics in General Relativity and Einstein-Gauss-Bonnet Gravity
• Modified gravity inspired DGP brane cosmology
• Weakly-coupled metastable graviton
• Probing the braneworld hypothesis with a neutron-shining-through-a-wall experiment
• Brane World of Warp Geometry: An Introductory Review
• Robustness of braneworld scenarios against tensorial perturbations
• Brane world generation by matter and gravity
• Linearized Analysis of the Dvali-Gabadadze-Porrati Brane Model
• Cosmological perturbations of brane-induced gravity and the vDVZ discontinuity on FLRW space-times
• Dynamical-Screening and the Phantom-Like Effects in a DGP-Inspired $F(R,\varphi )$ Model
• Regularized braneworlds of arbitrary codimension
• Embedding of FRW Cosmology in DGP Scenario with a Non-Minimally Coupled Scalar Field on the Brane
• Non-Minimal Warm Inflation and Perturbations on the Warped DGP Brane with Modified Induced Gravity
• Curvature corrections in DGP brane cosmology
• Smooth deformations and cosmic statefinders
• Non-Minimal Inflation on the Warped DGP Brane
• Black-brane solution for C_2 algebra
• Braneworld cosmological solutions and their stability
• Modified geodetic brane cosmology
• Constraints on kinematic parameters at $z\ne 0$
• Localization of scalar fields on self-gravitating thick branes
• Spherically symmetric and static solutions in $f(R)$ gravity coupled with EM fields
• Billiard representation for multidimensional multi-scalar cosmological model with exponential potentials
• Emergent Dark Matter in Late Time Universe on Holographic Screen
• Brans-Dicke DGP Brane Cosmology
• Thermodynamic Geometry and Phase Transitions of AdS Braneworld Black Holes
• Gravity effects on thick brane formation from scalar field dynamics
• Localization of gravity in brane world cosmologies
• Conformal frames and D-dimensional gravity
• Power-law cosmological solution derived from DGP brane with a brane tachyon field
• Semiclassical corrections to the Einstein equation and Induced Matter Theory
• DGP brane cosmology and quark-hadron phase transition
• Rotating Black Holes in Higher Dimensional Brane Worlds
• Brane World Black Rings
• A photon mass on the brane
• Phantom Mimicry on the Normal Branch of a DGP-inspired Braneworld Scenario with Curvature Effect
• The Dynamics of Brane-World Cosmological Models
• Observational Constraints on the Cosmology with Holographic Dark Fluid
• Quark-Hadron Phase Transition in DGP Brane Gravity with Bulk Scalar Field
• Quark-hadron phase transition in DGP including BD brane
• Brane Cosmology from Heterotic String Theory
• Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
• Crosstalk between DGP branes
• $\Lambda$CDM, $\Lambda$DGP and extended phantom-like cosmologies