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by HypothesisAugust 9th, 2024

**Authors:**

(1) Ankit Anand, Department of Physics, Indian Institute of Technology Madras, Chennai 600 036, India;

(2) Ruben Campos Delgado, Bethe Center for Theoretical Physics, Physikalisches Institut der Universit¨at Bonn, Nussallee 12, 53115 Bonn, Germany.

2 Modified Einstein equations with the Jacobson’s approach

3 Quantum gravitational corrections to the Schwarzschild metric

The Barrow hypothesis suggests that the entropy has the form

The general solution of (2.5) is

where Λ′ is the integration constant. This expression matches the result of [30]. Since our goal is to see what happens when ∆ is a radial function, thus we expand

where c is some constant. By doing a series expansion of (2.6), integrating by parts and collecting powers of ǫ, we find

The limit ǫ → 0 reduces to general relativity.

This paper is available on arxiv under CC BY 4.0 Deed license.

L O A D I N G

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