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Infinitely degenerate exact Ricci-flat solutions in f(R) gravity

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arxiv 2003.05139 v2 pith:5JC4N3J2 submitted 2020-03-11 gr-qc hep-th

Semin Xavier , Jose Mathew , S. Shankaranarayanan This is my paper · ORCID
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keywords gravitysolutionstheoriesexactblack-holeclassmodifiedricci-flat
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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.

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Cited by 1 Pith paper

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  1. Nonstatic Reissner-Nordstr\"om metric in the perturbative $f(R)$ theory: Embedding in the background of the FLRW cosmology, uniqueness of solutions, the TOV equation

    gr-qc 2025-02 reject novelty 4.0 of 10

    The paper claims that charged spherically symmetric sources in perturbative f(R) gravity can radiate gravitational waves through a time-dependent exterior metric.

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