Modified gravity theories from the Barrow hypothesis

Ankit Anand; Ruben Campos Delgado

Modified gravity theories from the Barrow hypothesis

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arxiv 2403.13687 v2 pith:DZTOT633 submitted 2024-03-20 gr-qc

Ankit Anand , Ruben Campos Delgado This is my paper · ORCID

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keywords gravitybarrowdeltamodifiedtheoriesareahypothesisquantum

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abstract

Barrow proposed that quantum gravity effects might introduce fractal corrections to the area of the event horizon of black holes. The area law gets modified as $S \propto A^{1+\Delta/2}$, with $0\leq\Delta\leq 1$. It was so far unclear whether this assumption could lead to meaningful quantum gravity theories beyond general relativity. In this paper, we argue that this is indeed the case. In particular, assuming $\Delta$ to be a radial function, we show that the Barrow hypothesis, together with the Jacobson's approach can generate non-trivial modified gravity theories.

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Black Holes Thermodynamics and Generalised Non-Extensive Entropy
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For Schwarzschild black holes, generalized non-extensive entropies such as Rényi, Tsallis, and four- and five-parameter forms cannot reproduce both the Hawking temperature and the ADM mass; only the Bekenstein-Hawking...

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