General brane cosmologies and their global spacetime structure
arXiv:hep-th/0007177 · doi:10.1088/0264-9381/17/22/313
Abstract
Starting from a completely general standpoint, we find the most general brane-Universe solutions for a three-brane in a five dimensional spacetime. The brane can border regions of spacetime with or without a cosmological constant. Making no assumptions other than the usual cosmological symmetries of the metric, we prove that the equations of motion form an integrable system, and find the exact solution. The cosmology is indeed a boundary of a (class II) Schwarzschild-AdS spacetime, or a Minkowski (class I) spacetime. We analyse the various cosmological trajectories focusing particularly on those bordering vacuum spacetimes. We find, not surprisingly, that not all cosmologies are compatible with an asymptotically flat spacetime branch. We comment on the role of the radion in this picture.
21 pages revtex, 2 figures, references added
References in corpus (20)
- Metastable Gravitons and Infinite Volume Extra Dimensions
- Cosmological dynamics on the brane
- Linearized Gravity in Brane Backgrounds
- Opening up extra dimensions at ultra-large scales
- Localizing Gravity on a String-Like Defect in Six Dimensions
- Brane World Cosmology - Gauge-Invariant Formalism for Perturbation
- Brane New World
- Gauge-invariant gravitational perturbations of maximally symmetric spacetimes
- Quasi-Localization of Gravity by Resonant Modes
- A Three three-brane Universe:New Phenomenology for the New Millennium?
- Gravity of higher-dimensional global defects
- Cosmology in the Randall-Sundrum Brane World Scenario
- Living on the edge: cosmology on the boundary of anti-de Sitter space
- The Fate of the Radion in Models with Metastable Graviton
- Graviton Propagators, Brane Bending and Bending of Light in Theories with Quasi-Localized Gravity
- The dynamics of curved gravitating walls
- Black Diamonds at Brane Junctions
- Exact Cosmological Solution and Modulus Stabilization in the Randall-Sundrum Model with Bulk Matter
- Gravity in a Box
- On Stability of the Three 3-brane Model
Cited by in corpus (237)
- Modified Gravity and Cosmology
- Beyond the Cosmological Standard Model
- Brane-World Gravity
- Brane-world gravity
- Testing General Relativity in Cosmology
- Cosmology and Brane Worlds: A Review
- Lectures on string/brane cosmology
- Brane World Cosmology
- General Gauss-Bonnet brane cosmology
- Strong gravitational lensing by braneworld black holes
- Cosmological and black hole brane-world Universes in higher derivative gravity
- Gravitational Lorentz Violations and Adjustment of the Cosmological Constant in Asymmetrically Warped Spacetimes
- Black holes as bubble nucleation sites
- Randall-Sundrum II Cosmology, AdS/CFT, and the Bulk Black Hole
- CFT and Entropy on the Brane
- Gravitational collapse on the brane: a no-go theorem
- Cosmological Perturbations in a Big Crunch/Big Bang Space-time
- Vacuum metastability with black holes
- Brane-world stars with solid crust and vacuum exterior
- The role of exterior Weyl fluids on compact stellar structures in Randall-Sundrum gravity
- Selftuning and its footprints
- Relativistic Stars in Randall-Sundrum Gravity
- General Brane Geometries from Scalar Potentials: Gauged Supergravities and Accelerating Universes
- Spinflation
- Higher order gravity theories and their black hole solutions
- Brane worlds
- Cosmology of a brane radiating gravitons into the extra dimension
- Emergent de Sitter Cosmology from Decaying AdS
- Black Hole Solutions in Braneworlds with Induced Gravity
- On the Geometry of Dark Energy
- Cosmological perturbations in the bulk and on the brane
- Braneworld stars and black holes
- Birkhoff's theorem in Lovelock gravity
- Brane-world generalizations of the Einstein static universe
- Cosmological expansion on a dilatonic brane-world
- Gravity on codimension 2 brane worlds
- Kaluza-Klein anisotropy in the CMB
- Anti-de Sitter no-hair, AdS/CFT and the brane-world
- Brane cosmology with a bulk scalar field
- Generalized Friedmann branes
- Axisymmetric metrics in arbitrary dimensions
- Strong Brane Gravity and the Radion at Low Energies
- Mimicking Lambda with a spin-two ghost condensate
- Dilaton spacetimes with a Liouville potential
- Bouncing and cyclic universes from brane models
- Cosmic acceleration from asymmetric branes
- Braneworld black holes
- Nested braneworlds and strong brane gravity
- Braneworld Instantons
- Brane World Cosmology with Gauss-Bonnet Interaction
- Friedmann branes with variable tension
- The radion in brane cosmology
- Spherically Symmetric Braneworld Solutions with R_{4} term in the Bulk
- Isotropy and Stability of the Brane
- Phantom-like behaviour in dilatonic brane-world scenario with induced gravity
- Einstein equations for an asymmetric brane-world
- Perturbations of brane worlds
- Steep Inflation followed by Born-Infeld Reheating
- Induced gravity with a non-minimally coupled scalar field on the brane
- QCD uncertainties at the LHC and the implications of HERA
- Colliding Branes in Heterotic M-theory
- Einstein-Gauss-Bonnet metrics: black holes, black strings and a staticity theorem
- Exact braneworld cosmology induced from bulk black holes
- A Note on Asymmetric Thick Branes
- No-Go Theorem for Horizon-Shielded Self-Tuning Singularities
- Mirage effects on the brane
- Extra dimensions present a new flatness problem
- Brane cosmological evolution with a general bulk matter configuration
- Entanglement Entropy in a Holographic Kondo Model
- Branonium
- Brane-bulk matter relation for a purely conical codimension-2 brane world
- Cycling in the Throat
- The Fermion Mass Hierarchy in Models with Warped Extra Dimensions and a Bulk Higgs
- Stealth Branes
- Closed System of Equations on a Brane
- Accelerating universe in brane gravity
- Inflation and Braneworlds: Degeneracies and Consistencies
- Evolution of gravitational waves in Randall-Sundrum cosmology
- Braneworld cosmological models with anisotropy
- Induced gravity on intersecting brane-worlds Part II: Cosmology
- Rotating spacetimes with a cosmological constant
- Time dependent black holes and scalar hair
- Braneworld dynamics with the BraneCode
- Brane Cosmology with Matter in the Bulk. I
- Induced cosmological constant and other features of asymmetric brane embedding
- Superluminal neutrinos and extra dimensions: constraints from the null energy condition
- The paradox of soft singularity crossing and its resolution by distributional cosmological quantitities
- Asymptotic behavior of a scalar field with an arbitrary potential trapped on a Randall-Sundrum's braneworld: the effect of a negative dark radiation term on a Bianchi I brane
- Phase space analysis of quintessence fields trapped in a Randall-Sundrum braneworld: a refined study
- Observing braneworld black holes
- Godel brane
- Holographic self-tuning of the cosmological constant
- Brane Cosmology Solutions with Bulk Scalar Fields
- Radion and Large Scale Anisotropy on the Brane
- Cosmology of intersecting brane world models in Gauss-Bonnet gravity
- Spacetime decay of cones at strong coupling
- Density perturbations in a brane-world universe with dark radiation
- When do colliding bubbles produce an expanding universe?
- Self-accelerating the normal DGP branch
- Brane Big-Bang Brought by Bulk Bubble
- Dynamical Systems analysis of an interacting dark energy model in the Brane Scenario
- Stealth Acceleration and Modified Gravity
- Eötvös branes
- CFTs on Non-Critical Braneworlds
- Consistent Lorentz Violation in Flat and Curved Space
- Cosmological Evolution of a Purely Conical Codimension-2 Brane World
- Dirac Relaxation of the Israel Junction Conditions: Unified Randall-Sundrum Brane Theory
- Asymmetric radiating brane-world
- Simulated gravity without true gravity in asymmetric brane-world scenarios
- de Sitter branes with a bulk scalar
- The effect of extra dimensions on gravity wave bursts from cosmic string cusps
- Dark Radiation Dynamics on the Brane
- On Bouncing Brane-Worlds, S-branes and Branonium Cosmology
- A Brane World Perspective on the Cosmological Constant and the Hierarchy Problems
- Order rho^2 Corrections to Randall-Sundrum I Cosmology
- Perturbations on a moving D3-brane and mirage cosmology
- Brane Worlds, String Cosmology, and AdS/CFT
- Black Hole Thermodynamics with Dynamical Lambda
- Brane cosmology with an anisotropic bulk
- String-inspired cosmology
- Stable, Time-Dependent, Exact Solutions for Brane Models with a Bulk Scalar Field
- A Braneworld Universe From Colliding Bubbles
- Cosmological Perturbations Generated in the Colliding Bubble Braneworld Universe
- Casimir densities for a spherical brane in Rindler-like spacetimes
- Brane-World and Holography
- Brane Cosmology with Matter in the Bulk (II)
- Lovelock solutions in the presence of matter sources
- The consistency of codimension-2 braneworlds and their cosmology
- Open inflationary universes in a brane world cosmology
- Phase space analysis of the bouncing universe with stringy effects
- Lorentz-violation and cosmological perturbations: a toy brane-world model
- The Need of Dark Energy for Dynamical Compactification of Extra Dimensions on the Brane
- Inflating wormholes in the braneworld models
- Brane-cosmology dynamics with induced gravity
- Bulk spacetimes for cosmological braneworlds with a time--dependent extra dimension
- Models for the Brane-Bulk Interaction: Toward Understanding Braneworld Cosmological Perturbation
- Cosmological perturbations in the 5D Big Bang
- Crossing the cosmological constant line in a dilatonic brane-world model with and without curvature corrections
- Brane-world models emerging from collisions of plane waves in 5D
- Bouncing and cyclic universes in the charged AdS bulk background
- Euclid: Constraining linearly scale-independent modifications of gravity with the spectroscopic and photometric primary probes
- Regular Bulk Solutions in Brane-worlds with Inhomogeneous Dust and Generalized Dark Radiation
- Higgs Vacuum Decay from Particle Collisions?
- Gravitating global defects: the gravitational field and compactification
- Brane World Dynamics and Conformal Bulk Fields
- Unconventional cosmology on the (thick) brane
- Regularized braneworlds of arbitrary codimension
- Is Thick Brane Model Consistent with the Recent Observations?
- Asymmetric Swiss-cheese brane-worlds
- Geometrical Tachyon Dynamics in the Background of a Bulk Tachyon Field
- Surface Casimir densities on a spherical brane in Rindler-like spacetimes
- Nonsingular Cosmologies from Branes
- Two 3-Branes in Randall-Sundrum Setup and Current Acceleration of the Universe
- Position Space CMB Anomalies from Multi-Stream Inflation
- D-braneworld cosmology
- Time warps
- Higgs Vacuum Decay in a Braneworld
- Exact Solutions in Five-Dimensional Axi-dilaton Gravity with Euler-Poincare Term
- Inflating p-branes
- Holographic Reconstruction of Bubbles
- Curvaton Dynamics in Brane-worlds
- Brane Cosmology in an Arbitrary Number of Dimensions
- Induced Curvature in Brane Worlds by Surface Terms in String Effective Actions with Higher-Curvature Corrections
- Quantum fluctuations in planar domain-wall space-times: A possible origin of primordial preferred direction
- Brane cosmology and the self-tuning of the cosmological constant
- Brane cosmology, Weyl fluid, and density perturbations
- Brane Cosmic String Compactification in Brans-Dicke Theory
- The Inflationary Energy Scale in Braneworld Cosmology
- Scaling solution, radion stabilization, and initial condition for brane-world cosmology
- Classic tests of General Relativity described by brane-based spherically symmetric solutions
- Bulk photons in Asymmetrically Warped Space-times and Non-trivial Vacuum Refractive Index
- A systematic study of the radion in the compact Randall-Sundrum model
- The consistency relation in braneworld inflation
- Casimir densities for two spherical branes in Rindler-like spacetimes
- Braneworld Isotropization and Magnetic Fields
- Phantom-like effects in asymmetric brane embedding with induced gravity and the Gauss-Bonnet term in the Bulk
- Graviton emission from a Gauss-Bonnet brane
- Comment on 4D Lorentz invariance violations in the brane-world
- D-braneworld cosmology II: Higher order corrections
- Asymmetrically Warped Brane Models, Bulk Photons and Lorentz Invariance
- Linearized Israel Matching Conditions for Cosmological Perturbations in a Moving Brane Background
- On the validity of the 5-dimensional Birkhoff theorem: The tale of an exceptional case
- Sculpting the Extra Dimensions: Inflation from Codimension-2 Brane Back-reaction
- Generalized particle dynamics: modifying the motion of particles and branes
- A homogeneous brane-world universe
- Braneworld Flux Inflation
- The Cosmology of Asymmetric Brane Modified Gravity
- Flat Vacuum Branes Without Fine Tuning
- Dynamical Evolution of the Extra Dimension in Brane Cosmology
- Dynamic domain walls in Maxwell-Dilaton background
- Interacting dark energy model in the brane scenario: A Dynamical System Analysis
- Brane Dynamics in the Randall-Sundrum model, Inflation and Graceful Exit
- Gauss-Bonnet brane-world cosmology without -symmetry
- Domain walls in Born-Infeld-dilaton background
- Separation Distribution of Vacuum Bubbles in de Sitter Space
- Brane cosmology in the Horava-Witten heterotic M-Theory on
- Complementary cosmological tests of RSII brane models
- Domain wall space-times with a cosmological constant
- Closed inflationary universe models in Braneworld Cosmology
- Particle creation in the presence of a warped extra dimension
- Asymmetric embedding in brane cosmology
- Generalized particle dynamics in anti de Sitter spaces: A source for dark energy
- Nucleation of Brane Universes
- Seeded vacuum decay with Gauss-Bonnet
- Evolution of thin shells in D-dimensional General Relativity
- The Dynamics of Brane-World Cosmological Models
- Cosmological constant and kinetic supersymmetry breakdown on a moving brane
- On asymmetric brane creation
- Thermodynamics of dyonic black holes in non-linear electrodynamics
- Bouncing cosmological solutions and their stability
- Dissipation and nonlocality in a general expanding braneworld universe
- Five-dimensional warped product space-time with time-dependent warping and a scalar field in the bulk
- AdSS_5 Brane World Cosmology
- RS1 Cosmology as Brane Dynamics in an AdS/Schwarzschild Bulk
- Vacuum Polarization in an Anti-de Sitter Space as an Origin for a Cosmological Constant in a Brane World
- Self-gravitating splitting thin shells
- Unified Brane Gravity: Cosmological Dark Matter from Scale Dependent Newton Constant
- Connection between two forms of extra-dimensional metrics revisited
- Specific dynamics for the Domain-Walls in Einstein-Maxwell-Dilaton theory
- Closed inflationary universe in Patch Cosmology
- Primordial Black Holes and Higgs Vacuum Decay
- Generalized approach for the perturbative dynamical braneworld in dimensions
- On black holes in heterotic braneworlds
- Bouncing of gravitons emitted from the brane to the bulk back to the brane
- Schwarzschild-De Sitter black holes in 4+1 dimensional bulk
- Perturbations on and off de Sitter brane in anti-de Sitter bulk
- Static Domain Wall in the Braneworld gravity
- Semi-realistic Bouncing Domain Wall Cosmology
- FLRW embeddings in , differential geometry and conformal photon propagator
- Testing Higher Derivative Gravity Through Tunnelling
- D-Brane Chemistry
- Graviton Propagation in an Asymmetric Warped Background: Lorentz Violation and the Null Energy Condition
- Conical singularities regularized in warped six-dimensional flux compactification and their induced brane cosmology
- An Investigation of Equivalence between the Bulk-based and the Brane-based Approaches for Anisotropic Models
- Gravitational Field of Spherical Branes
- Quasi-homologous spherically symmetric branes and their symmetry breaking
- Global monopole as a generator of a bulk-brane structure in Brans-Dicke bulk gravity