This content originally appeared on HackerNoon and was authored by Hypothesis
:::info 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.
\
:::info This paper is available on arxiv under CC BY 4.0 Deed license.
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This content originally appeared on HackerNoon and was authored by Hypothesis
Hypothesis | Sciencx (2024-08-09T14:00:16+00:00) Modified Gravity Theories From the Barrow Hypothesis: Modified Einstein Equations. Retrieved from https://www.scien.cx/2024/08/09/modified-gravity-theories-from-the-barrow-hypothesis-modified-einstein-equations/
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