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2022

How Barrow Entropy Modifies Gravity: With Comments on Tsallis Entropy

Di Gennaro, Sofia, Xu, Hao, Ong, Yen Chin

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Barrow proposed that the area law of the horizon entropy might receive a "fractal correction" $S\propto A^{1+\Delta/2}$ due to quantum gravitational effects, with $0\leqslant \Delta \leqslant 1$ measures the deviation from the standard area law.

While such a modification has been widely studied in the literature, its corresponding theory of gravity has not been discussed.
We follow Jacobson's approach to derive the modified gravity theory (interpreted as an effective theory), and find that in the stationary case the resulting theory only differs from general relativity by a re-scaled cosmological constant.
Consequently in asymptotically flat stationary spacetimes the theory is identical to general relativity.

How Barrow Entropy Modifies Gravity: With Comments on Tsallis Entropy · Around

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Shin’ichi Nojiri, Sergei D. Odintsov, Emmanuel N. Saridakis, “Modified Cosmology From Extended Entropy With Varying Exponent”, Eur. Phys. J. C 79
Original
1903
Earlier work this paper cites.
Constantino Tsallis, “Possible Generalization of Boltzmann-Gibbs Statistics”, J. Statist. Phys. 52
1988
Earlier work this paper cites.
Ted Jacobson, “Thermodynamics of Spacetime: The Einstein Equation of State”, Phys. Rev. Lett. 75
1995
Earlier work this paper cites.
John D. Barrow, “The Area of a Rough Black Hole”, Phys. Lett. B 808
Original
2004
Earlier work this paper cites.
Q.A. Wang, L. Nivanen, A. Le Méhauté, M. Pezeril, “Fractal Geometry, Information Growth and Nonextensive Thermodynamics”, Physica A: Stat. Mech. Applic. 340
2004
Earlier work this paper cites.
Pedro Pessoa, Bruno Arderucio Costa, “Comment on ’Black Hole Entropy: A Closer Look”’, Entropy 22
Original
2008
Earlier work this paper cites.
David Kastor, Sourya Ray, Jennie Traschen, “Enthalpy and the Mechanics of AdS Black Holes”, Class. Quant. Grav. 26
Original
2009
Earlier work this paper cites.
Eric Akkermans, Gerald V. Dunne, Alexander Teplyaev, “Thermodynamics of Photons on Fractals”, Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.

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