Cosmology on a Brane in Minkowski Bulk

Abstract

We discuss the cosmology of a 3-brane embedded in a 5D bulk space-time with a cosmological constant when an intrinsic curvature Ricci scalar is included in the brane action. After deriving the `brane-Friedmann' equations for a Z_2 symmetrical metric, we focus on the case of a Minkowski bulk. We show that there exist two classes of solutions, close to the usual Friedmann-Lemaitre-Robertson-Walker cosmology for small enough Hubble radii. When the Hubble radius gets larger one either has a transition to a fully 5D regime or to a self-inflationary solution which produces a late accelerated expansion. We also compare our results with a perturbative approach and eventually discuss the embedding of the brane into the Minkowski space-time. This latter part of our discussion also applies when no intrinsic curvature term is included.

16 pages, minor changes and comments added

References in corpus (3)

• 4D Gravity on a Brane in 5D Minkowski Space
• Metastable Gravitons and Infinite Volume Extra Dimensions
• Brane-World Cosmology in Higher Derivative Gravity or Warped Compactification in the Next-to-leading Order of AdS/CFT Correspondence

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• Covariance of dark energy parameters and sound speed constraints from large HI surveys
• Late-time cosmic acceleration: Dark gravity
• Phantom-like effects in asymmetric brane embedding with induced gravity and the Gauss-Bonnet term in the Bulk
• Testing General Relativity: new measurements of gravitational redshift in galaxy clusters
• Phantom-Like Behavior of a DGP-Inspired Scalar-Gauss-Bonnet Gravity
• Generalised second law of thermodynamics for interacting dark energy in the DGP brane world
• Classification of the FRW universe with a cosmological constant and a perfect fluid of the equation of state $p=w\rho$
• Brans-Dicke DGP Brane Cosmology
• An extension of the cosmological standard model with a bounded Hubble expansion rate
• Critical Heat Engines in Massive Gravity
• Inflaton perturbations in brane-world cosmology with induced gravity
• An interacting holographic dark energy model within an induced gravity brane
• Holography beyond conformal invariance and AdS isometry?
• Testing a dissipative kinetic k-essence model
• Emergent Universe With Exotic Matter In Loop Quantum Cosmology, DGP Brane World and Kaluza-Klein Cosmology
• Emergent Dark Matter in Late Time Universe on Holographic Screen
• DGP Cosmological model with generalized Ricci dark energy
• Massive gravitons trapped inside a hypermonopole
• A Model for Cosmic Self-Acceleration
• Barrow Holographic Dark Energy in Brane World Cosmology
• Holographic dark energy in the DGP model
• Ellipsoidal universe in the brane world
• Cosmological screening and the phantom braneworld model
• Charged Black Holes on DGP Brane
• Late transient acceleration of the universe in string theory on $S^1/Z_2$
• Tests of Relativistic Gravity in Space: Recent Progress and Future Directions
• Symmetries and assisted inflation in the DGP braneworld model
• Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld
• Metastable gravity on classical defects
• Constraints on scalar-tensor theories of gravity from observations
• Scalar Kinks in Warped Extra Dimensions
• Ghost Dark Matter
• Normal DGP in varying speed of light cosmology
• Properties of codimension-2 braneworlds in six-dimensional Lovelock theory
• Galileons as the Scalar Analogue of General Relativity
• Effective action and heat kernel in a toy model of brane-induced gravity
• Duality of boundary value problems and braneworld action in curved brane models
• New perspectives on future rip scenarios with holographic dark energy
• Formation Of Emergent Universe in Brane Scenario as a Consequence of Particle Creation
• Higher Curvature Brane Corrections to the DGP Model
• The Cosmology of Asymmetric Brane Modified Gravity
• Kerr-Newman-de Sitter Solution on DGP Brane
• Gravitational radiation from a binary system in odd-dimensional spacetime
• UV caps, IR modification of gravity, and recovery of 4D gravity in regularized braneworlds
• Localized gravity in non-compact superstring models
• Leakage of gravitational waves into an extra dimension in the DGP model
• Probing extra dimensions through cosmological observations of dark energy
• Halo models in modified gravity theories with self-accelerated expansion
• Bulk scalar field in DGP braneworld cosmology
• Existence and Stability of Non-Trivial Scalar Field Configurations in Orbifolded Extra Dimensions
• Trace Anomaly Inflation in Brane Induced Gravity
• Little Rip, Pseudo Rip and bounce cosmology with generalized equation of state in non-standard backgrounds
• Versatile parametrization of the perturbation growth rate on the phantom brane
• Power-law cosmological solution derived from DGP brane with a brane tachyon field
• Static spheres and Aschenbach effect for black holes in massive gravity
• Dynamical system analysis in modified Galileon cosmology
• Dynamical System Analysis of Brane Induced Gravity with Tachyon Field
• Chaplygin gas in decelerating DGP gravity and the age of the oldest star
• Hydrogen-like Spectrum of Spontaneously Created Brane Universes with deSitter Ground State
• Quantum fluctuations in the DGP model and the size of the cross-over scale
• Testing Dvali-Gabadadze-Porrati Gravity with Planck
• Exploring the cosmic censorship conjecture with a Gauss-Bonnet sector
• A no-boundary proposal for braneworld perturbations
• Bulk scalar field in brane-worlds with induced gravity inspired by the $\mathcal{L}(R)$ term
• Interacting Tsallis agegraphic dark energy in DGP Braneworld Cosmology
• Scalar Domain Wall as the Universe
• Cosmic scenarios in $f(R)$ gravity: a complete evolution
• New Perspectives on Moving Domain Walls in (A)dS_(5) Space
• DGP brane cosmology and quark-hadron phase transition
• Brane cosmology in the Horava-Witten heterotic M-Theory on $S^1/Z_2$
• Redshift evolution of the Hubble constant: Constraints and new insights from an interacting dark energy model
• Nucleation of ${}^{(4)}R$ Brane Universes
• Cosmological evolution of a D-brane
• Phantom Mimicry on the Normal Branch of a DGP-inspired Braneworld Scenario with Curvature Effect
• Randall-Sundrum brane cosmology: modification of late-time cosmic dynamics by exotic matter
• Cosmology on a cosmic ring
• DGP with bubble of nothing
• Brane-Bulk Interaction in Topological Theory
• A photon mass on the brane
• Thick DGP braneworlds
• Supernovae constraints on dark energy and modified gravity models
• Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane
• Thermodynamics of Gravitationally Induced Particle Creation Scenario in DGP Braneworld
• Asymmetric embedding in brane cosmology
• Dynamical Domain Wall and Localization
• The Friedmann equations in deformed Hořava-Lifshitz gravity and Debye model
• Limiting the Number of Extra Dimensions with Shortcuts
• Geometrical constraints on dark energy models
• Observational Constraints on Phantom Crossing DGP Gravity
• Charged Rotating Black Holes on DGP Brane
• KiDS-Legacy: Constraints on Horndeski gravity from weak lensing combined with galaxy clustering and cosmic microwave background anisotropies
• Robust numerical computation of the 3D scalar potential field of the cubic Galileon gravity model at solar system scales
• On the cosmological viability of the Hu-Sawicki type modified induced gravity
• Degravitation Features in the Cascading Gravity Model
• Braneworld Cosmology
• Generalized virial theorem in warped DGP brane-world
• Beyond self-acceleration: force- and fluid-acceleration
• On asymptotic behavior of anisotropic Dvali-Gabadadze-Porrati branes
• Is cosmology just a plausibility argument?
• Non linear equation of state and effective phantom divide in brane models
• Five-dimensional warped product space-time with time-dependent warp factor and cosmology of the four-dimensional universe
• 7D Randall-Sundrum cosmology, brane-bulk energy exchange and holography
• Dvali-Gabadadze-Porrati Cosmology in Bianchi I brane
• Quark-Hadron Phase Transition in DGP Brane Gravity with Bulk Scalar Field
• Higgs Inflation on Braneworld
• Natures of Statefinder Parameters and Om Diagnostic for Cardassian Universe in Horava-Lifshitz Gravity
• Cosmological dynamics with modified induced gravity on the normal DGP branch
• The Stability Analysis of Brane Induced Gravity with Quintessence Field on the Brane with a Gaussian Potential
• de Sitter Branes in a Flat Bulk of Massive Gravity
• Orbifold Branes in the $M_D\times M_{d^{+}}\times M_{d^{-}}$ Compactification of type II string on $S^1/Z_2$ and their cosmological applications
• Five-dimensional warped product space-time with time-dependent warping and a scalar field in the bulk
• Randall-Sundrum brane universe as a ground state for Chern-Simons gravity
• Constraints on parameters of models with extra dimension from primordial nucleosynthesis
• Cosmological constraints on parameters of one-brane models with extra dimension
• An implementation of nDGP gravity in Pinocchio
• Braneworlds with timelike extra-dimension
• Self-gravitating branes again
• Classical Defocussing of world lines from Higher Dimensions
• Unified Brane Gravity: Cosmological Dark Matter from Scale Dependent Newton Constant
• 5-dimensional braneworld with gravitating Nambu-Goto matching conditions
• Does Unruh radiation accelerate the universe? A novel approach to the cosmic acceleration
• Quark-hadron phase transition in DGP including BD brane
• Ghosts in the self-accelerating DGP branch with Gauss-Bonnet effect
• Theoretical priors in scalar-tensor cosmologies: Shift-symmetric Horndeski models
• On Einstein equations with cosmological constant in braneworld models
• Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
• Conformal Frame dependence on Cosmological Observations in Scalar-Tensor Theories of Gravity
• Strengthening interacting agegraphic dark energy DGP constraints with local measurements and multimessenger forecastings
• Crosstalk between DGP branes
• Geometric acceleration in $f(Q,C)$ theories
• Stability Analysis of DGP Brane-world Model with Agegraphic Dark Energy
• Cosmology in warped massive gravity
• Thin limit of the 6D Cascading DGP model
• Virial mass in warped DGP-inspired L(R) gravity
• Black hole solutions in the warped DGP braneworld
• De Sitter braneworld and gravitational waves
• Virial mass in DGP cosmology
• The creation of radiation and the relic of inflaton potential
• Cosmological Constraints on the DGP Model in light of DESI DR2 2025 Data
• A Study on Ricci Dark Energy in Bulk-Brane Interaction
• Modified gravity with vacuum polarization
• Linearized Treatment of Scalar perturbations in the Asymptotic Cosmological Model
• KK-mode contribution to the crossover scale for the brane-induced force
• Induced cosmology on a codimension-2 brane in a conical bulk
• Conservation laws for colliding branes with induced gravity
• $\Lambda$CDM, $\Lambda$DGP and extended phantom-like cosmologies
• Using Energy Conditions to Distinguish Brane Models and Study Brane Matter
• Role of Gauss-Bonnet corrections in a DGP brane gravitational collapse
• Topological charge and black hole photon spheres in massive gravity
• Toward testing gravity with LSST using $E_G$
• Spherically Symmetric Gravitational Collapse Of Inhomogeneous Dust Cloud In The Background Of Dark Energy
• Absence of the Higuchi bound in a family of alternative linear massive spin-2 models
• Evolution of the density parameter in the anisotropic DGP cosmology
• Braneworld wormholes supported by astrophysical observations
• Localization of Vector Field on Dynamical Domain Wall
• Non-minimal kinetic coupled gravity: inflation on the Warped DGP brane
• Spherically symmetric gravitational collapse in the background of Chaplygin gas