2011
DOI: 10.1007/s11433-011-4507-6
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A new entropic force scenario and holographic thermodynamics

Abstract: We propose a new holographic program of gravity in which we introduce a surface stress tensor. Our proposal differs from Verlinde's in several aspects. First, we use an open or a closed screen. Second, the temperature is not necessary, but a surface energy density and pressure are introduced. The surface stress tensor is proportional to the extrinsic curvature. Third, the energy we use is Brown-York energy and the equipartition theorem is violated by a non-vanishing surface pressure. We discuss holographic the… Show more

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Cited by 14 publications
(15 citation statements)
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References 13 publications
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“…Moreover, with the method of the Wald's Noether charge [89,90] and the related consequences in Refs. [34,38,43,100,101], it has been demonstrated in Ref. [73] that if F ′ = dF (T )/dT = d 2 f (T )/dT 2 is small, the black hole entropy is approximately equal to F A/ (4G) for f (T ) gravity.…”
Section: First Law Of Thermodynamics In Non-equilibrium Descriptionmentioning
confidence: 98%
“…Moreover, with the method of the Wald's Noether charge [89,90] and the related consequences in Refs. [34,38,43,100,101], it has been demonstrated in Ref. [73] that if F ′ = dF (T )/dT = d 2 f (T )/dT 2 is small, the black hole entropy is approximately equal to F A/ (4G) for f (T ) gravity.…”
Section: First Law Of Thermodynamics In Non-equilibrium Descriptionmentioning
confidence: 98%
“…There has been a number of papers written on entropic gravity in the last two years [1][2][3][4][5][6][7][8][9].…”
Section: Gravity Theoriesmentioning
confidence: 99%
“…In [1,2], the authors proposed to use the energy flow to replace energy in Verlinde's proposal to derive the Einstein email: mli@itp.ac.cn equations. The obvious advantage of this proposal over the Verlinde's is that the holographic screen can be either closed or open, and one does not require it to be an equi-potential surface.…”
Section: Gravity Theoriesmentioning
confidence: 99%
“…However, there are problems with the Verlinde's proposal, as pointed out in [1]. First, Verlinde's derivation of the Einstein equations always requires a positive temperature on a holographic screen, this is not attainable for an arbitrary screen.…”
Section: Introductionmentioning
confidence: 99%
“…
Extending the holographic program of [1], we derive f(R) gravity and the Maxwell equations from the holographic principle, using time-like holographic screens. We find that to derive the Einstein equations and f(R) gravity in a natural holographic approach, the quasi-static condition is necessary.
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mentioning
confidence: 99%