Non–vacuum perfect fluid static cylindrically symmetric solutions in f(R) gravity and their energy distribution

Abstract

Out of many other alternative theories of Einstein’s theory of gravity, the ( ) f R theory of gravity has a long history. During the last few years, there has been tremendous change in this area bringing about a lot of study which yields exciting results. On behalf of some evidences, it has been concluded that Weyl1 was the first who worked in the field of ( ) f R gravity while many others are in view that it was Eddington2 who was the pioneer to contribute in this field. Later, Buchdahl3 reflected his ideas and efforts in the same field. A comprehensive review has been presented here which consists of relevant literature and important features and characteristics of ( ) f R theories of gravity.4