Six-dimensional Static Plane Symmetric Vacuum Solutions in f(R) Gravity

Abstract

In the paper [2], we have obtained  five dimensional static plane symmetric vacuum solutions of the field equations of modified theory of gravity i.e., f(R) theory of gravity using the metric approach and solved the field equations with  the  assumption of constant scalar curvature which may be zero or non zero on the lines of Sharif and Farasat (2009). In the present paper, we have extended this work to higher six dimensional plane symmetric space-time. Thus here we have obtained three static plane symmetric solutions in V₆ which are corresponding to the well known solutions in Einstein’s general theory of relativity. The work of Sharif and Farasat (2009) in V₄ and our earlier five dimensional work explained in [2] can be reproduced from our work carried out in the present paper by reducing the dimensions.