Rotating black hole solutions for $f(R)$ gravity and Newman Janis Algorithm
General Relativity and Quantum Cosmology
2023-10-10 v2 High Energy Physics - Theory
Abstract
We show that the -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. We also propose a modified Newmann-Janis algorithm to obtain the rotating axisymmetric solutions for the Einstein/Einstein-Maxwell gravity with a cosmological constant. 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 -gravity with constant Ricci scalar.
Keywords
Cite
@article{arxiv.2309.17044,
title = {Rotating black hole solutions for $f(R)$ gravity and Newman Janis Algorithm},
author = {Pankaj Chaturvedi and Utkarsh Kumar and Udaykrishna Thattarampilly and Vishnu Kakkat},
journal= {arXiv preprint arXiv:2309.17044},
year = {2023}
}
Comments
12 pages and one table