Brane-world gravity
arXiv:gr-qc/0312059 · doi:10.12942/lrr-2004-7
Abstract
The observable universe could be a 1+3-surface (the "brane") embedded in a 1+3+d-dimensional spacetime (the "bulk"), with standard-model particles and fields trapped on the brane while gravity is free to access the bulk. At least one of the d extra spatial dimensions could be very large relative to the Planck scale, which lowers the fundamental gravity scale, possibly even down to the electroweak (~ TeV) level. This revolutionary picture arises in the framework of recent developments in M theory. The 1+10-dimensional M theory encompasses the known 1+9-dimensional superstring theories, and is widely considered to be a promising potential route to quantum gravity. General relativity cannot describe gravity at high enough energies and must be replaced by a quantum gravity theory, picking up significant corrections as the fundamental energy scale is approached. At low energies, gravity is localized at the brane and general relativity is recovered, but at high energies gravity "leaks" into the bulk, behaving in a truly 1+3+d-dimensional way. This introduces significant changes to gravitational dynamics and perturbations, with interesting testable implications for high-energy astrophysics, black holes and cosmology. Brane-world models offer a phenomenological way to test some of the novel predictions and corrections to general relativity that are implied by M theory. This review discusses the geometry, dynamics and perturbations of simple brane-world models for cosmology and astrophysics, mainly focusing on warped 5-dimensional brane-worlds based on the Randall-Sundrum models.
Corrections, improvements, new references; to appear in Living Reviews of Relativity; 58 pages, revtex4, 13 figs
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- 4D spacetimes embedded in 5D light-like Kasner universes
- Colliding Branes and Formation of Spacetime Singularities
- Chameleon dark matter stars
- Quintessential inflation from 5D warped product spaces on a dynamical foliation
- General Bianchi IX dynamics in bouncing braneworld cosmology: homoclinic chaos and the BKL conjecture
- Constraints on fourth order gravity from binary pulsar and gravitational waves
- Searching for modified gravity: a conformal sector?
- Dynamical System Analysis of a Five-Dimensional Cosmological Model
- Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
- ISCOs and OSCOs in the presence of a positive cosmological constant in massive gravity
- Asymmetric embedding in brane cosmology
- Generalized particle dynamics in anti de Sitter spaces: A source for dark energy
- Brane Gravitational Extension of Dirac's "Extensible Model of the Electron"
- Gravitational Collapse and Black Hole Thermodynamics In Braneworld Scenario
- A four-dimensional description of five-dimensional N-brane models
- Reconstruction of Cosmological Evolution in the Presence of Extra Dimensions
- APSIS - an Artificial Planetary System in Space to probe extra-dimensional gravity and MOND
- On Braneworld Inflation Models in Light of WMAP7 data
- Gravity with extra dimensions and dark matter interpretation: A straightforward approach
- 7D Randall-Sundrum cosmology, brane-bulk energy exchange and holography
- Bouncing cosmological solutions and their stability
- Gravitational diffraction radiation
- Fermion confinement induced by geometry
- Cosmic No Hair for Braneworlds with a Bulk Dilaton Field
- On the embedding of Weyl manifolds
- Massless and massive graviton spectra in anisotropic dilatonic braneworld cosmologies
- Universe Acceleration in Brane World Models
- Holographic Cosmological Models on the Braneworld
- Graviton emission from the brane in the bulk in a model with extra dimension
- Brane-world Cosmologies with non-local bulk effects
- Observational constraints on the Kerr and its several single-parameter modified spacetimes using quasi-periodic oscillation data
- Pre-Big Bang Scenario on Self-T-Dual Bouncing Branes
- Colliding branes and formation of spacetime singularities in string theory
- Thick branes via higher order field theory models with exponential and power-law tails
- Generalized virial theorem in warped DGP brane-world
- Cosmological Kaluza-Klein branes in black brane spacetimes
- Quantum Corrections for a Braneworld Black Hole
- Dynamical modelling of disc vertical structure in superthin galaxy `UGC 7321' in braneworld gravity: An MCMC study
- Gravity is controlled by cosmological constant
- Non linear equation of state and effective phantom divide in brane models
- Cosmological constraints on parameters of one-brane models with extra dimension
- Compactification and signature transition in Kaluza-Klein spinor cosmology
- Vacuum Polarization in an Anti-de Sitter Space as an Origin for a Cosmological Constant in a Brane World
- Brane world regularization of point particle classical self-energy
- Constraining Recent Oscillations in Quintessence Models with Euclid
- Energy-momentum tensor of bouncing gravitons
- Gravity-wave detectors as probes of extra dimensions
- Braneworld Gravity in Symmetric Space Bulk
- The presence of a Phantom field in a Randall-Sundrum scenario
- Hubble Diagrams in the Jordan and Einstein Frames
- Constraints on parameters of models with extra dimension from primordial nucleosynthesis
- Cosmological Constraints on Radion Evolution in the Universal Extra Dimension Model
- On the one-loop correction of "phi^4" theory in higher dimensions
- Novel thick brane solutions with symmetry breaking
- Does Unruh radiation accelerate the universe? A novel approach to the cosmic acceleration
- Constant-roll inflation with tachyon field in the holographic braneworld
- The unification of gravity and the spin-1 field
- Braneworlds with timelike extra-dimension
- Constraints to Lorentz violation and ultrahigh-energy electrons in D-foamy space-times
- Primordial black holes in Randall-Sundrum: Cosmological signatures
- A dark radiation era prior to the inflationary phase
- Noncommutative Quantum Cosmology for the FLRW model in Unimodular Gravity
- Connection between two forms of extra-dimensional metrics revisited
- Orbifold Branes in the Compactification of type II string on and their cosmological applications
- Graviton production in anti-de Sitter braneworld cosmology: A fully consistent treatment of the boundary condition
- Randall-Sundrum with Kalb-Ramond field: return of the hierarchy problem?
- De Sitter braneworld and gravitational waves
- Bare and effective fluid description in brane world cosmology
- From WMAP to Planck: Exact reconstruction of 4- and 5-dimensional inflationary potential from high precision CMB measurements
- A new shape function and some specific wormhole solutions in braneworld scenario
- Thick brane in Palatini formalism with a non-minimally coupled bulk scalar field
- Bouncing of gravitons emitted from the brane to the bulk back to the brane
- Higher order dilaton gravity: brane equations of motion in the covariant formulation
- Dark Energy in Global Brane Universe
- Correlation of structure growth index with current cosmic acceleration: constraints on dark energy models
- k-essence and extended tachyons in brane-worlds
- Semi-realistic Bouncing Domain Wall Cosmology
- Virial mass in warped DGP-inspired L(R) gravity
- On the -embedding of Lorentzian manifolds in Ricci-flat spaces
- On black holes in heterotic braneworlds
- Gravitational Interactions in a General Multibrane Model
- A covariant simultaneous action for branes
- Non- symmetric braneworlds in scalar tensorial gravity
- Gravitational Waves in Braneworld Scenarios with AdS Background
- An exact self-similar solution for an expanding ball of radiation
- Axion braneworld cosmology
- f(R) cosmological solutions with varying speed of light
- Scalar cosmological perturbations in the Gauss-Bonnet braneworld
- Static Domain Wall in the Braneworld gravity
- Effect of bulk Lorentz violation on anisotropic brane cosmologies
- Implications of the quantum nature of the black hole horizon on the gravitational-wave ringdown
- Energy conditions and gravitational baryogenesis in gravity
- Kinetically stabilized inflation
- Constraints on Energy Conditions in Gravity
- A class of 5D inhomogeneous models with a cosmological constant
- Possibility of cyclic Turnarounds In Brane-world Scenario: Phantom Energy Accretion onto Black Holes and its consequences
- Relic gravitons on Kasner branes
- Exciton Binding Energies in 2D Materials: Insights from Braneworld Physics
- Conical singularities regularized in warped six-dimensional flux compactification and their induced brane cosmology
- Solutions to CDM Universe Derived from Global Brane Model
- Baryon number violation due to brane dynamics
- On Gauge Choice of Spherically Symmetric 3-Branes
- Gravity on de-Sitter 3-Brane, Induced Einstein-Hilbert Term and Massless Gravitons
- Evolution of matter perturbations in the context of cosmic slowing down
- We Probably Live On An Inflating Brane-World
- Induced cosmology on a codimension-2 brane in a conical bulk