Global structure of exact cosmological solutions in the brane world

Abstract

We find the explicit coordinate transformation which links two exact cosmological solutions of the brane world which have been recently discovered. This means that both solutions are exactly the same with each other. One of two solutions is described by the motion of a domain wall in the well-known 5-dimensional Schwarzshild-AdS spacetime. Hence, we can easily understand the region covered by the coordinate used by another solution.

Latex, 9 pages including 5 figures; references add, accepted for publication in Physical Review D

References in corpus (8)

• An exotic class of Kaluza-Klein models
• Asymptotically Anti-de Sitter Space-times: Conserved Quantities
• Dynamics of Anti-de Sitter Domain Walls
• Gravity, Stability and Energy Conservation on the Randall-Sundrum Brane-World
• Cosmological 3-Brane Solutions
• Brane-world solutions, standard cosmology, and dark radiation
• Inflation and Gauge Hierarchy in Randall-Sundrum Compactification
• Single-Brane Cosmological Solutions with a Stable Compact Extra Dimension

Cited by in corpus (190)

• Brane-World Gravity
• Cosmology on a Brane in Minkowski Bulk
• Brane-world gravity
• Cosmological dynamics on the brane
• Cosmology and Brane Worlds: A Review
• Lectures on string/brane cosmology
• General brane cosmologies and their global spacetime structure
• Brane World Cosmology
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Cosmological and black hole brane-world Universes in higher derivative gravity
• Supernovae, CMB, and Gravitational Leakage into Extra Dimensions
• Dilaton-gravity on the brane
• Brane versus shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories
• Thick domain walls and singular spaces
• Brane cosmology driven by the rolling tachyon
• Gauge-invariant gravitational perturbations of maximally symmetric spacetimes
• 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
• Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe
• Evolution of Cosmological Perturbations in the Brane World
• Observational Constraints on Dark Radiation in Brane Cosmology
• Covariant Gravitational Equations on Brane World with Gauss-Bonnet term
• Living on the edge: cosmology on the boundary of anti-de Sitter space
• Brane worlds
• Black Hole Solutions in Braneworlds with Induced Gravity
• On Brane World Cosmological Perturbations
• The world is not enough
• Cosmological perturbations in the bulk and on the brane
• Brane-world generalizations of the Einstein static universe
• Cosmological expansion on a dilatonic brane-world
• Gravity on codimension 2 brane worlds
• Density perturbations in the brane-world
• String inspired braneworld cosmology
• Cosmological evolution with brane-bulk energy exchange
• Anti-de Sitter no-hair, AdS/CFT and the brane-world
• Kaluza-Klein anisotropy in the CMB
• Generalized Friedmann branes
• Strong Brane Gravity and the Radion at Low Energies
• Bulk Gravitational Field and Cosmological Perturbations on the Brane
• Black holes in the brane world:Time symmetric initial data
• Emergent Universe in Brane World Scenario with Schwarzschild-de Sitter Bulk
• Five-dimensional Black Hole and Particle Solution with Non-Abelian Gauge Field
• Brane World Cosmology with Gauss-Bonnet Interaction
• Spherically Symmetric Braneworld Solutions with R_{4} term in the Bulk
• Dynamics of Brane-World Cosmological Models
• Isotropy and Stability of the Brane
• Phantom-like behaviour in dilatonic brane-world scenario with induced gravity
• Kasner-AdS spacetime and anisotropic brane-world cosmology
• Brane World Cosmology Without the Z_2 Symmetry
• Perturbations of brane worlds
• Bekenstein Bound, Holography and Brane Cosmology in Charged Black Hole Backgrounds
• 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
• (Non)-singular brane-world cosmology induced by quantum effects in d5 dilatonic gravity
• Inflation on a single brane - exact solutions
• Holographic RG and Cosmology in Theories with Quasi-Localized Gravity
• Reflection symmetry breaking scenarios with minimal gauge form coupling in brane world cosmology
• Integro-differential equation for brane-world cosmological perturbations
• Mirage effects on the brane
• Brane cosmological evolution with a general bulk matter configuration
• Branonium
• Quintessence in a Brane World
• Brane World Cosmologies with Varying Speed of Light
• Induced cosmology on a regularized brane in six-dimensional flux compactification
• Moduli fields and brane tensions: generalizing the junction conditions
• Warped Flux Compactification and Brane Gravity
• Collision of Domain Walls and Reheating of the Brane Universe
• Bianchi IX Brane-world Cosmologies
• Resource Letter on geometrical results for Embeddings and Branes
• Observational Constraints on Accelerating Brane Cosmology with Exchange between the Bulk and Brane
• Brane Quintessence
• Cosmological evolution of general scalar fields in a brane-world cosmology
• Colliding Bubble Worlds
• Braneworld Flattening by a Cosmological Constant
• Slicing and Brane Dependence of the (A)dS/CFT Correspondence
• Generalized Israel Junction Conditions for a Fourth-Order Brane World
• Can brane cosmology with a vanishing Λexplain the observations?
• Probing extra dimension through gravitational wave observations of compact binaries and their electromagnetic counterparts
• Universes encircling 5-dimensional black holes
• Brane Cosmology with Matter in the Bulk. I
• 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
• Godel brane
• Brane Cosmology Solutions with Bulk Scalar Fields
• Dynamics of Scalar field in a Brane World
• Quantum effects, brane tension and large hierarchy in the brane-world
• Density perturbations in a brane-world universe with dark radiation
• Exact Global Solutions of Brane Universes and Big Bounce
• Late time behavior of cosmological perturbations in a single brane model
• Brane Big-Bang Brought by Bulk Bubble
• Self-accelerating the normal DGP branch
• Brane f(R) gravity cosmologies
• Collision of Domain Walls in asymptotically Anti de Sitter spacetime
• Gravity on branes
• Brane Worlds in 5D and Warped Compactifications in IIB
• On linearized gravity in the Randall-Sundrum scenario
• On ekpyrotic brane collisions
• Brane gravity, higher derivative terms and non-locality
• Simple Dynamics on the Brane
• Order rho^2 Corrections to Randall-Sundrum I Cosmology
• On Bouncing Brane-Worlds, S-branes and Branonium Cosmology
• A Brane World Perspective on the Cosmological Constant and the Hierarchy Problems
• Brane Worlds, String Cosmology, and AdS/CFT
• Dark Radiation Dynamics on the Brane
• Reinventing spacetime on a dynamical hypersurface
• Phase space analysis of quintessence fields trapped in a Randall-Sundrum Braneworld: anisotropic Bianchi I brane with a Positive Dark Radiation term
• Brane cosmology with an anisotropic bulk
• Bianchi II Brane-world Cosmologies ($\mathcal{U}\ge 0$)
• String-inspired cosmology
• Aspects of thermal leptogenesis in braneworld cosmology
• Brane-World and Holography
• Brane Cosmology with Matter in the Bulk (II)
• Doubly covariant action principle of singular hypersurfaces in general relativity and scalar-tensor theories
• Packing extra mass in compact stellar structures: An interplay between Kalb-Ramond field and extra dimensions
• Local conservation law and dark radiation in cosmological braneworld
• Inflating wormholes in the braneworld models
• Gibbons-Hawking Boundary Terms and Junction Conditions for Higher-Order Brane Gravity Models
• Causal Structure and Gravitational Waves in Brane World Cosmology
• String versus Einstein frame in an AdS/CFT induced quantum dilatonic brane-world universe
• The Need of Dark Energy for Dynamical Compactification of Extra Dimensions on the Brane
• Sneutrino brane inflation and leptogenesis
• 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
• Towards a Higgs phase of gravity in string theory
• Brane World Dynamics and Conformal Bulk Fields
• Brane-world cosmology
• Little String Theories in Heterotic Backgrounds
• Reheating the Universe in Braneworld Cosmological Models with bulk-brane energy transfer
• Holographic principle in the BDL brane cosmology
• Natural braneworld inflation and baryogenesis
• Semiclassical instability of the brane-world: Randall-Sundrum bubbles
• Cosmological perturbations of an expanding brane in an anti-de Sitter bulk: a short review
• Final reheating temperature on a single brane
• Two 3-Branes in Randall-Sundrum Setup and Current Acceleration of the Universe
• Inflationary solutions in the brane-world and their geometrical interpretation
• D-braneworld cosmology
• Extended DBI massive gravity with generalized fiducial metric
• Hubble Law and Brane Matter after Ekpyrosis
• Effective theory for close limit of two branes
• FLRW Universes from "Wave-Like" Cosmologies in 5D
• Gravitation and cosmology in a brane-universe
• Vacuum Brane and the Bulk Dynamics in Dilatonic Brane World
• Dilatonic quantum multi-brane-worlds
• Brane cosmology, Weyl fluid, and density perturbations
• Global p-Brane World: A New Approach to Stable Mass Hierarchy
• Constraints on brane and bulk ideal fluid in Randall-Sundrum cosmologies
• Supergravity Brane Cosmologies
• Classic tests of General Relativity described by brane-based spherically symmetric solutions
• Scaling solution, radion stabilization, and initial condition for brane-world cosmology
• Numerical study of curvature perturbations in a brane-world inflation at high-energies
• A covariant approach to braneworld holography
• Brane Cosmology and Motion of Test Particles in Five-Dimensional Warped Product Spacetimes
• The consistency relation in braneworld inflation
• Randall-Sundrum limit of f(R) brane-world models
• Cosmology in Six Dimensions
• Geodesics, the Equivalence Principle and Singularities in Higher-dimensional General Relativity and Braneworlds
• A homogeneous brane-world universe
• On the validity of the 5-dimensional Birkhoff theorem: The tale of an exceptional case
• Generalized particle dynamics: modifying the motion of particles and branes
• Flat Vacuum Branes Without Fine Tuning
• A primer on the ekpyrotic scenario
• Static solutions in the R^4 brane world
• Trace Anomaly Inflation in Brane Induced Gravity
• Complementary cosmological tests of RSII brane models
• Generalized particle dynamics in anti de Sitter spaces: A source for dark energy
• New exact cosmologies on the brane
• Observational Constraints on the Cosmology with Holographic Dark Fluid
• The Dynamics of Brane-World Cosmological Models
• Brane-world Cosmologies with non-local bulk effects
• Our wall as the origin of CP violation
• Crossing the phantom divide with k-essence in brane-worlds
• Connection between two forms of extra-dimensional metrics revisited
• RS1 Cosmology as Brane Dynamics in an AdS/Schwarzschild Bulk
• AdSS_5 Brane World Cosmology
• New Classes of Cosmic Energy and Primordial Black-Hole Formation
• Schwarzschild-De Sitter black holes in 4+1 dimensional bulk
• k-essence and extended tachyons in brane-worlds
• Bouncing of gravitons emitted from the brane to the bulk back to the brane
• Perturbations on and off de Sitter brane in anti-de Sitter bulk
• Density perturbations in braneworld cosmology and primordial black holes
• Baryon number violation due to brane dynamics
• Conical singularities regularized in warped six-dimensional flux compactification and their induced brane cosmology
• Exact solutions of embedding the four-dimensional perfect fluid in a five- or higher-dimensional Einstein spacetime and the cosmological interpretations
• Dynamical heredity from f(R)-bulk to braneworld: curvature dynamical constraint and f(R)-unimodular gravity
• Limits on the integration constant of the dark radiation term in Brane Cosmology
• Gravitational fields and harmonic gauge in brane model of Universe
• An Investigation of Equivalence between the Bulk-based and the Brane-based Approaches for Anisotropic Models
• FLRW embeddings in ${\mathbb{R}}^{n+2}$, differential geometry and conformal photon propagator
• D-Brane Chemistry