Emergent Universe in the Braneworld Scenario
arXiv:1506.02388 · doi:10.1140/epjc/s10052-016-4162-1
Abstract
According to Padmanabhan's proposal, the difference between the surface degrees of freedom and the bulk degrees of freedom in a region of space may result in the acceleration of Universe expansion through the relation where and are referred to the degrees of freedom related to the matter and energy content inside the bulk and surface area, respectively \cite{Pad1}. In this paper, we study the dynamical effect of the extrinsic geometrical embedding of an arbitrary four dimensional brane in a higher dimensional bulk space and investigate the corresponding degrees of freedom. Considering the modification of Friedmann equations arising from a general braneworld scenario, we obtain a correction term in Padmanabhan's relation, denoting the number of degrees of freedom related to the extrinsic geometry of the brane embedded in higher dimensional spacetime as where is referred to the degree of freedom related to the extrinsic geometry of the brane while and are as well as before. Finally, we study the validity of the first and second laws of thermodynamics for this general braneworld scenario in the state of thermal equilibrium and in the presence of confined matter fields to the brane with the induced geometric matter fields.
arXiv comment16 pages, Major revision
References in corpus (90)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- Dynamics of dark energy
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- f(R) theories
- 4D Gravity on a Brane in 5D Minkowski Space
- Cosmology and the Fate of Dilatation Symmetry
- Thermodynamics of Spacetime: The Einstein Equation of State
- Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
- On the Origin of Gravity and the Laws of Newton
- Essentials of k-essence
- Resummation of Massive Gravity
- Cosmological Constraints from the SDSS Luminous Red Galaxies
- Modified Gauss-Bonnet theory as gravitational alternative for dark energy
- Analogue Gravity
- Massive Gravity
- Einstein's Other Gravity and the Acceleration of the Universe
- Theoretical Aspects of Massive Gravity
- Non-conventional cosmology from a brane-universe
- Accelerated Universe from Gravity Leaking to Extra Dimensions
- Pre-Big-Bang in String Cosmology
- Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
- Thermodynamical Aspects of Gravity: New insights
- Brane cosmological evolution in a bulk with cosmological constant
- Brane-World Gravity
- Supernova Limits on the Cosmic Equation of State
- Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys
- Membranes at Quantum Criticality
- Braneworld models of dark energy
- Conditions for the cosmological viability of f(R) dark energy models
- Cosmological Expansion in the Presence of an Extra Dimension
- A classification of scalar field potentials with cosmological scaling solutions
- Reconciling dark energy models with f(R) theories
- Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
- Black hole mass decreasing due to phantom energy accretion
- Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
- Cosmological perturbations in f(T) gravity
- The case for dynamical dark energy revisited
- Baryon Acoustic Oscillation Intensity Mapping as a Test of Dark Energy
- Construction of cosmologically viable f(G) gravity models
- Dark energy and the generalized second law
- Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
- Cosmology of the Lifshitz universe
- Thermodynamics of an accelerated expanding universe
- Cosmology and the S-matrix
- Inflation and de Sitter Thermodynamics
- Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
- Dynamical dark energy: Current constraints and forecasts
- Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff
- Thermodynamics of Apparent Horizon in Brane World Scenario
- Dynamical Dark Energy or Simply Cosmic Curvature?
- New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
- Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity
- Transplanckian energy production and slow roll inflation
- Parametrizations of the Dark Energy Density and Scalar Potentials
- Horava-Lifshitz Dark Energy
- Relating Friedmann equation to Cardy formula in universes with cosmological constant
- The generalized second law of thermodynamics in the accelerating universe
- Dark energy from a quintessence (phantom) field rolling near potential minimum (maximum)
- Generalized second law of thermodynamics in Gauss-Bonnet braneworld
- Lessons from Classical Gravity about the Quantum Structure of Spacetime
- cosmology via Noether symmetry
- On the Geometry of Dark Energy
- Cosmological behavior in extended nonlinear massive gravity
- Emergent perspective of Gravity and Dark Energy
- Fourth order Weyl gravity
- The generalized second law in phantom dominated universes in the presence of black holes
- Friedmann equation and Cardy formula correspondence in brane universes
- Constraints on braneworld inflation from CMB anisotropies
- Generalized second law in modified theory of gravity
- Observational constraints on braneworld inflation: the effect of a Gauss-Bonnet term
- Holography in a Radiation-dominated Universe with a Positive Cosmological Constant
- Schwarzschild black hole and the generalized second law in phantom-dominated universe
- The accelerating universe in brane-world cosmology
- Phantom phase power-law solution in gravity
- The generalized second law in irreversible thermodynamics for the interacting dark energy in a non-flat FRW universe enclosed by the apparent horizon
- de Sitter thermodynamics and the braneworld
- Equivalence between Palatini and metric formalisms of f(R)-gravity by divergence free current
- Reflection symmetry breaking scenarios with minimal gauge form coupling in brane world cosmology
- Generalized second law of thermodynamics in warped DGP braneworld
- Classical and quantum dynamics of confined test particles in brane gravity
- Viscous Cosmology and Thermodynamics of Apparent Horizon
- Comment on "Interacting holographic dark energy model and generalized second law of thermodynamics in a non-flat universe", by M.R. Setare (JCAP 01, 023, 2007)
- Cosmological entropy and generalized second law of thermodynamics in theory of gravity
- The generalized second law for the interacting generalized Chaplygin gas model
- Generalized Second Law of Thermodynamics in Extended Theories of Gravity
- Covariant extrinsic gravity and the geometric origin of dark energy
- Thermodynamics in Kaluza-Klein Universe
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- Emergent Cosmos in Einstein-Cartan Theory
- On the initial singularity in Kantowski-Sachs spacetime
- CMB power spectrum for emergent scenario and slow expansion in scalar-tensor theory of gravity
- Emergent Cosmology in 4D Einstein Gauss Bonnet Theory of Gravity
- Stability of the Einstein Static Universe in Zero-Point Length Cosmology with Topological Defects