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

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

2007-10-30

arxiv.org/abs/0710.5635v3

Mod. Phys. Lett A 24 (2009) 305-309

Astronomy and Astrophysics

Astrophysics

4 pages, accepted in MPLA

Scientific paper

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.

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