https://doi.org/10.1140/epjc/s10052-023-12306-z
Regular Article - Theoretical Physics -
Exact rotating black hole solutions for f(R) gravity by modified Newman Janis algorithm
1
Department of Physics, Ariel University, 40700, Ariel, Israel
2
Department of Physics, National Institute of Technology Silchar, 788010, Silchar, Assam, India
3
Department of Mathematical Sciences, Unisa, Pretoria, South Africa
Received:
12
November
2023
Accepted:
29
November
2023
Published online:
12
December
2023
We show that the f(R)-gravity theories with constant Ricci scalar in the Jordan/Einstein frame can be described by Einstein or Einstein–Maxwell gravity with a cosmological term and a modified gravitational constant. To obtain the rotating axisymmetric solutions for the Einstein/Einstein–Maxwell gravity with a cosmological constant, we also propose a modified Newmann–Janis algorithm which involves the non-complexification of the radial coordinate and a complexification of the polar coordinate. Using the duality between the two gravity theories we show that the stationary or static solutions for the Einstein/Einstein–Maxwell gravity with a cosmological constant will also be the solutions for the dual f(R)-gravity with constant Ricci scalar.
The original online version of this article has been revised. Equation 46 was published incorrectly.
An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-024-13562-3.
Copyright comment corrected publication 2024
© The Author(s) 2023. corrected publication 2024
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