Eur. Phys. J. Plus (2017) 132: 150
https://doi.org/10.1140/epjp/i2017-11413-1

Regular Article

Anisotropic stellar models admitting conformal motion

¹ Department of Mathematics, Jadavpur University, 700032, Kolkata, India
² Department of Mathematics, Budge Budge Institute of Technology, 700137, Kolkata, West Bengal, India
³ Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
⁴ Physics Department, Eastern Mediterranean University, Mersin 10, Famagusta, Northern Cyprus, Turkey

^* e-mail: ayan_7575@yahoo.co.in

Received: 5 November 2016
Accepted: 16 February 2017
Published online: 3 April 2017

Abstract

We address the problem of finding static and spherically symmetric anisotropic compact stars in general relativity that admit conformal motions. The study is framed in the language of f(R) gravity theory in order to expose opportunity for further study in the more general theory. Exact solutions of compact stars are found under the assumption that spherically symmetric spacetimes admit conformal motion with anisotropic matter distribution in nature. In this work, two cases have been studied for the existence of such solutions: first, we consider the model given by and then . Finally, specific characteristics and physical properties have been explored analytically along with graphical representations for conformally symmetric compact stars in f(R) gravity.