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
3 Quantum gravitational corrections to the Schwarzschild metric
In order to solve (2.9), we start with the Ansatz
\
\ where
\
\ The Ricci scalar has the structure
\
\
Case I
\ We compare our solutions with the ones of Xiao and Tian [32], which read
\
\ With all these terms the final expression for the metric is
\
\ which generalizes the result of [32]. Notice that the coefficients (3.14) are formally divergent, but the solutions (3.15)-(3.17) are finite.
Case II
\ We compare now our solutions with the ones of Calmet and Kuipers, [22], which read
\
\ With all these terms the final expression for the metric is
\
\ hich generalizes the result of [22]. Again, notice that the coefficients (3.23) are formally divergent, but the solutions (3.24)-(3.26) are finite.
\
:::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 (2024-08-09T16:00:24+00:00) Modified Gravity Theories From the Barrow Hypothesis: Quantum Gravity. Retrieved from https://www.scien.cx/2024/08/09/modified-gravity-theories-from-the-barrow-hypothesis-quantum-gravity/
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