2000 character limit reached
Infinitely degenerate exact Ricci-flat solutions in f(R) gravity (2003.05139v2)
Published 11 Mar 2020 in gr-qc and hep-th
Abstract: We obtain an infinite number of exact static, Ricci-flat spherically symmetric vacuum solutions for a class of f(R) theories of gravity. We analytically derive two exact vacuum black-hole solutions for the same class of f(R) theories. The two black-hole solutions have the event-horizon at the same point; however, their asymptotic features are different. Our results suggest that no-hair theorem may not hold for generic modified gravity theories. We discuss the implications of our work to distinguish modified gravity theories from general relativity in gravitational wave detections.