How barrow entropy modifies gravity: with comments on Tsallis entropy

@article{DiGennaro2022HowBE,
  title={How barrow entropy modifies gravity: with comments on Tsallis entropy},
  author={Sofia Di Gennaro and Haoting Xu and Yen Chin Ong},
  journal={The European Physical Journal C},
  year={2022},
  volume={82},
  pages={1-7}
}
Barrow proposed that the area law of the horizon entropy might receive a “fractal correction” $$S\propto A^{1+\Delta /2}$$ S ∝ A 1 + Δ / 2 due to quantum gravitational effects, with $$0\leqslant \Delta \leqslant 1$$ 0 ⩽ Δ ⩽ 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… 

Emergence of cosmic space in Tsallis modified gravity from equilibrium and non-equilibrium thermodynamic perspective

. The profound connection between the law of emergence and the thermodynamic laws provides a new thermodynamic perspective on the accelerated expansion of the universe. In this paper, we explore this

References

SHOWING 1-10 OF 30 REFERENCES

Modified Friedmann equations from Tsallis entropy

Sign Switching Dark Energy from a Running Barrow Entropy

Barrow proposed that the area law of the entropy associated with a horizon might receive a “fractal correction” due to quantum gravitational effects—in place of S∝A, we have instead S∝A1+δ/2, where

Black hole thermodynamical entropy

As early as 1902, Gibbs pointed out that systems whose partition function diverges, e.g. gravitation, lie outside the validity of the Boltzmann–Gibbs (BG) theory. Consistently, since the pioneering

Thermal features of Barrow corrected-entropy black hole formulation

Through the last years, it was demonstrated that quantum corrections of entropy, represented by logarithmic and power law corrections terms, constituted an association between semi-classical entropic

Modified cosmology from extended entropy with varying exponent

We present a modified cosmological scenario that arises from the application of non-extensive thermodynamics with varying exponent. We extract the modified Friedmann equations, which contain new

Black Hole Entropy: A Closer Look

A non-Boltzmannian entropic functional noted Sδ was applied to this complex system which exhibits the so-called area-law, based on the fact that the well known Bekenstein-Hawking entropy can be expressed as being proportional to the event horizon area divided by the square of the Planck length.

Enthalpy and the mechanics of AdS black holes

We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological constant. These two results are further related

The area of a rough black hole

A note on physical mass and the thermodynamics of AdS-Kerr black holes

As with any black hole, asymptotically anti-de Sitter Kerr black holes are described by a small number of parameters, including a ``mass parameter'' M that reduces to the AdS-Schwarzschild mass in