How barrow entropy modifies gravity: with comments on Tsallis entropy

  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},
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… 

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