Consistency Condition of Spherically Symmetric Solutions in $f(R)$ Gravity

Abstract

In this work we study the spherical symmetric solutions of $f(R)$ gravity in the metric formalism. We show that for a generic $f(R)$ gravity, the spherical symmetric solution is consistent with the modified gravity equations except in the case of imposing an extra condition for the metric.

4 pages, accepted in MPLA

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Cited by in corpus (9)

• Static Spherically Symmetric Solutions in F(R) Gravity
• Some aspects of generalized modified gravity models
• On the Energy Issue for a Class of Modified Higher Order Gravity Black Hole Solutions
• An Exponential F(R) Dark Energy Model
• Action growth for black holes in modified gravity
• Vacuum Solution of a Linear Red-Shift Based Correction in $f(R)$ Gravity
• Looking for empty topological wormhole spacetimes in $F(R)$-modified gravity
• Topological electro-vacuum solutions in extended gravity
• Static Spherically Symmetric solutions in a subclass of Horndeski theories of gravity