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arXiv · 1706.04435

Exploring Plane Symmetric Solutions in $f(R)$ Gravity

M. Farasat Shamir
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Abstract

The modified theories of gravity, especially the $f(R)$ gravity, have attracted much attention in the last decade. This paper is devoted to exploring plane symmetric solutions in the context of metric $f(R)$ gravity. We extend the work on static plane symmetric vacuum solutions in $f(R)$ gravity already available in literature [1, 2]. The modified field equations are solved using the assumption of both constant and non-constant scalar curvature. Some well known solutions have been recovered with power law and logarithmic forms of $f(R)$ models.

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M. Farasat Shamir. 2017-06-13. Exploring Plane Symmetric Solutions in $f(R)$ Gravity. https://doi.org/10.1134/s106377611601009x

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