Uniqueness of non-trivial spherically symmetric black hole solution in special classes of F(R) gravitational theory

We show, in detail, that the only non-trivial black hole (BH) solutions for a neutral as well as a charged spherically symmetric space-times, using the class F(R)=R±F1(R), must-have metric potentials in the form h(r)=12−2Mr and h(r)=12−2Mr+q2r2. These BHs have a non-trivial form of Ricci scalar, i.e...

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Bibliographic Details
Main Author: G.G.L. Nashed
Format: Article
Language:English
Published: Elsevier 2021-01-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320308157