Eur. Phys. J. C (2015) 75: 564
https://doi.org/10.1140/epjc/s10052-015-3797-7

Regular Article - Theoretical Physics

The Finslerian compact star model

¹ Department of Mathematics, Jadavpur University, Kolkata, 700032, West Bengal, India
² Department of Applied Mathematics, University of Calcutta, Kolkata, 700009, India
³ Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata, 700010, West Bengal, India
⁴ Department of Physics, Shibpur Dinobundhoo Institution, Howrah, 711102, West Bengal, India

^* e-mail: saibal@iucaa.ernet.in

Received: 2 August 2015
Accepted: 13 November 2015
Published online: 28 November 2015

Abstract

We construct a toy model for compact stars based on the Finslerian structure of spacetime. By assuming a particular mass function, we find an exact solution of the Finsler–Einstein field equations with an anisotropic matter distribution. The solutions are revealed to be physically interesting and pertinent for the explanation of compact stars.