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
In order to solve (2.9), we start with the Ansatz
where
The Ricci scalar has the structure
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.
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.
This paper is available on arxiv under CC BY 4.0 Deed license.