Rotating black hole in $f(R)$ theory

Understand

In general, the field equation of $f(R)$ gravitational theory is very intricate, and therefore, it is not an easy task to derive analytical solutions.

• We consider rotating black hole spacetime four-dimensional in the $f(R)$ gravitational theory and derive a novel black hole solution.
• This black hole reduced to the one presented in \cite{Nashed:2020mnp} when the rotation parameter, $\Omega$, vanishes.
• We study the physical properties of this black hole by writing its line element and show that it asymptotically behaves as the AdS/dS spacetime.