Friedmann equations from entropic force

2010/01/31 by Rong-Gen Cai, Li-Ming Cao, Nobuyoshi Ohta · 203 citations
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Entropic force #Equipartition theorem #Friedmann equations #Holography #Mathematical physics #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Theoretical physics #Unruh effect #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.81.061501

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 81(6) (American Physical Society) · latex, 8 pages, v2: minor modifications and to appear in PRD (Rapid Communication)

arxiv created 2010/02/17 · openalex publication_date 2010/03/08 · arxiv updated 2010/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this note by use of the holographic principle together with the equipartition law of energy and the Unruh temperature, we derive the Friedmann equations of a Friedmann-Robertson-Walker universe.

Citations

• Notes Concerning "On the Origin of Gravity and the Laws of Newton" by E. Verlinde (arXiv:1001.0785)
• New views on the low-energy side of gravity
• Vacuum Quantum Fluctuations in Curved Space and the Theory of Gravitation
• First Law of Thermodynamics and Friedmann Equations of Friedmann–Robertson–Walker Universe
• Thermodynamic Interpretation of Field Equations at Horizon of BTZ Black Hole
• The four laws of black hole mechanics
• Thermodynamics of Spacetime: The Einstein Equation of State
• Particle creation by black holes
• Black Holes and Entropy
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• On the Origin of Gravity and the Laws of Newton
• Generalized Vaidya spacetime in Lovelock gravity and thermodynamics on the apparent horizon

Cited by

• Big-Bang nucleosynthesis constraints on (dual) Kaniadakis cosmology
• Emergent dark matter in late time universe on holographic screen
• Thermodynamical description of the ghost dark energy model
• How can rainbow gravity affect gravitational force?
• Planck Scale Effect in the Entropic Force Law

Related

• Entropic dark energy and sourced Friedmann equations
• On the perturbed Friedmann equations in Newtonian Gauge
• Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
• Entropic corrections and modified Friedmann equations in the emergence of cosmic space
• Friedmann equations from GUP-modified equipartition law