Friedmann equations in braneworld scenarios from emergence of cosmic space

Abstract

Recently, it was argued that the spacetime dynamics can be understood by calculating the difference between the degrees of freedom on the boundary and in the bulk in a region of space. In this Letter, we apply this new idea to braneworld scenarios and extract the corresponding Friedmann equations of $(n-1)$-dimensional brane embedded in the $(n+1)$-dimensional bulk with any spacial curvature. We will also extend our study to the more general Gauss-Bonnet braneworld with curvature correction terms on the brane and in the bulk, and derive the dynamical equation in a nonflat Universe.

5 pages, 2 columns format, accepted for publication in Phys. Lett. B

References in corpus (18)

• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Friedmann Equations from Entropic Force
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Thermodynamics of apparent horizon and modified Friedman equations
• Entropic Corrections to Friedmann Equations
• Statistical Origin of Gravity
• Notes on Entropy Force in General Spherically Symmetric Spacetimes
• Friedmann equations from emergence of cosmic space
• Emergence of Cosmic Space and the Generalized Holographic Equipartition
• Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
• Entropic Corrections to Einstein Equations
• Cosmological Constraints on the Modified Entropic Force Model
• Entropic force and entanglement system
• Entropic force, holography and thermodynamics for static space-times
• A note on entropic force and brane cosmology
• Emergence of spacetime dynamics in entropy corrected and braneworld models
• The holographic screen at low temperatures

Cited by in corpus (21)

• Modified Friedmann Equations from Tsallis Entropy
• Cosmological model from the holographic equipartition law with a modified Rényi entropy
• Implications, consequences and interpretations of generalized entropy in the cosmological setups
• Barrow Entropy Corrections to Friedmann Equations
• Cosmological Constant from the Emergent Gravity Perspective
• Emergence of Cosmic Space and Minimal Length in Quantum Gravity
• Corrections to Friedmann equations inspired by Kaniadakis entropy
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Observational constraints on Tsallis modified gravity
• Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
• On An Interacting New Holographic Dark Energy Model: observational constraints
• An interacting New Holographic Dark Energy in the framework of fractal cosmology
• Emergence of cosmic space and its connection with thermodynamic principles
• The quantum effect on Friedmann equation in FRW universe
• The laws of thermodynamics and information for emergent cosmology
• Planck-Scale Corrections to Friedmann Equation
• Apparent Dark Matter Inspired by Einstein Equation of State
• Energy definition and dark energy: a thermodynamic analysis
• Interacting Tsallis agegraphic dark energy in DGP Braneworld Cosmology
• Thermodynamical properties of nonsingular universe
• Cosmological scenario based on the particle creation and holographic equipartition