First law of thermodynamics and Friedmann-like equations in braneworld cosmology

2007/03/31 by Xian-Hui Ge · 6 citations
Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Brane #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Entropy (arrow of time) #Event horizon #Extended irreversible thermodynamics #First law of thermodynamics #Friedmann equations #Laws of thermodynamics #Mathematical physics #Non-equilibrium thermodynamics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Second law of thermodynamics #Spacetime #Theoretical physics #Thermodynamics #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2007.05.055

published as Phys.Lett.B651:49-53,2007 · 12 pages, no figures,Version 3; minor improvements

arxiv created 2007/05/14 · openalex publication_date 2007/06/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive the Friedmann-like equations in braneworld cosmology by imposing the first law of thermodynamics and Bekenstein's area-entropy formula on the apparent horizon of a Friedmann-Roberston-Walker universe in both Randall-Sundrum II gravity and Dvali-Gabadadze-Porrati gravity models. Israel's boundary condition plays an important role in our calculations in both cases, besides the first law of thermodynamics and Bekenstein's area-entropy formula. The results indicate that thermodynamics on the brane world knows the behaviors of gravity.

Citations

• On the Holographic Principle in a Radiation Dominated Universe
• On Brane-World Cosmology
• Unified first law and the thermodynamics of the apparent horizon in the FRW universe
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Non-conventional cosmology from a brane universe
• The four laws of black hole mechanics
• Thermodynamics of Spacetime: The Einstein Equation of State
• Particle creation by black holes
• An Alternative to Compactification
• Dynamic black-hole entropy
• Supernovae, CMB, and gravitational leakage into extra dimensions
• Black Holes and Entropy
• Gravity on a brane in infinite-volume extra space
• The large N limit of superconformal field theories and supergravity

Cited by

• Generalized Vaidya spacetime in Lovelock gravity and thermodynamics on the apparent horizon
• Misner-Sharp mass and the unified first law in massive gravity
• Bouncing universe from a modified dispersion relation
• Field Equations for Lovelock Gravity: An Alternative Route
• Emergence of cosmological Friedmann equations from quantum entanglement
• Bouncing universe in a heat bath