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

Reza Saffari; Sohrab Rahvar

doi:10.1142/s0217732309028163

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arXiv · 0710.5635

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

Reza Saffari·Sohrab Rahvar

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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.

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Reza Saffari, Sohrab Rahvar. 2008-06-23. Consistency Condition of Spherically Symmetric Solutions in $f(R)$ Gravity. https://doi.org/10.1142/s0217732309028163

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