Modified Gravity Theories From the Barrow Hypothesis: Modified Einstein Equations
by HypothesisAugust 9th, 2024
Too Long; Didn't Read
This paper is available on arxiv.org under CC BY 4.0 Deed license. The Barrow hypothesis suggests that the entropy has the form. The general solution of (2.5) is (https://cdn.hackernoon.com/images/fWZa4tUiBGemnqQfBGgCPf9594N2-az83y6g.png)
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.
Table of Links
2 Modified Einstein equations with the Jacobson’s approach
3 Quantum gravitational corrections to the Schwarzschild metric
2 Modified Einstein equations with the Jacobson’s approach
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.
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