Infinitely degenerate exact Ricci-flat solutions in f(R) gravity. (19th October 2020)

• Record Type: Journal Article
• Authors: Xavier, Semin; Mathew, Jose; Shankaranarayanan, S
• Is Part Of: Classical and quantum gravity. Volume 37:Number 22(2020:Nov.)
• Publication Date: 2020-10-19
• Subjects: modified gravity -- black-holes -- asymptotically non-flat solutions; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/abbd0f
• Languages: English
• ISSNs: 0264-9381

Abstract

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.