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

Abstract

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

arXiv comment12 pages including 6 figures and 2 tables; some typos corrected; version published in European Physical Journal C (EPJC)

References in corpus (22)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Black holes on the brane
• Generating rotating regular black hole solutions without complexification
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Constraints on Perturbative f(R) Gravity via Neutron Stars
• Charged Rotating Black Holes on a 3-Brane
• Neutron Stars in f(R) Gravity with Perturbative Constraints
• From static to rotating to conformal static solutions: Rotating imperfect fluid wormholes with(out) electric or magnetic field
• An explanation of the Newman-Janis Algorithm
• Probing the space-time geometry around black hole candidates with the resonance models for high-frequency QPOs and comparison with the continuum-fitting method
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Regular and conformal regular cores for static and rotating solutions
• Janis-Newman algorithm: generating rotating and NUT charged black holes
• Anti-Evaporation of Schwarzschild-de Sitter Black Holes in $F(R)$ gravity
• Modified Einstein's gravity as a possible missing link between sub- and super-Chandrasekhar type Ia supernovae
• Modified Einstein's gravity to probe the sub- and super-Chandrasekhar limiting mass white dwarfs: a new perspective to unify under- and over-luminous type Ia supernovae
• Searching for dynamical black holes in various theories of gravity
• Asymptotically flat vacuum solution in modified theory of Einstein's gravity
• Newman-Janis Algorithm Revisited