Modified Hawking temperature and entropic force: a prescription in FRW model

Abstract

The idea of Verlinde that gravity is an entropic force caused by information changes associated with the positions of material bodies, is used in the present work for the FRW model of the Universe. Using modified Hawking temperature, the Friedmann equations are derived on any horizon. For the validity of the first law of thermodynamics (i.e., Clausius relation) it is found that there is modification of Bekenstein entropy on the horizon. However, using equipartition law of energy, Bekenstein entropy is recovered.

References in corpus (8)

• Hawking Radiation of Apparent Horizon in a FRW Universe
• Entropic Accelerating Universe
• Friedmann Equations from Entropic Force
• Statistical Origin of Gravity
• Thermodynamics of Black Holes from Equipartition of Energy and Holography
• Notes Concerning "On the Origin of Gravity and the Laws of Newton" by E. Verlinde (arXiv:1001.0785)
• Constraining Entropic Cosmology
• First law of thermodynamics on holographic screens in entropic force frame

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• Horizon thermodynamics in holographic cosmological models with a power-law term
• Thermodynamically consistent entropic-force cosmology
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Entropy production due to adiabatic particle creation in a holographic dissipative cosmology
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Cosmological thermodynamics with Hawking temperature on the apparent horizon and Unruh temperature of the fluid: Some interesting consequences
• Multicomponent holographic dark energy model with generalized entropy
• Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model