Asymptotically flat vacuum solution for a rotating black hole in a modified gravity theory

The theory of f(R)-gravity is one the theories modified Einstein gravity. vacuum solution, on other hand, field equation solution for black hole geometry. We establish here an asymptotically flat rotating in f(R)-gravity. This essentially leads to Kerr hole. exhibits change fundamental properties and its It particularly shows that radii marginally stable bound orbits event horizon increase compared those gravity, depending gravity parameter. further argues faster spinning holes with spin (Kerr) parameter greater than unity, without any naked singularity. supports weak cosmic censorship hypothesis.