Eur. Phys. J. Plus (2020) 135: 185
https://doi.org/10.1140/epjp/s13360-020-00230-0

Regular Article

Study of gravastars in Finslerian geometry

¹ Department of Mathematics, Budge Budge Institute of Technology, Kolkata, West Bengal, 700137, India
² Department of Physics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711103, India
³ Department of Mathematics, Jadavpur University, Kolkata, West Bengal, 700032, India

^* e-mail: rahaman@associates.iucaa.in

Received: 27 December 2019
Accepted: 13 January 2020
Published online: 1 February 2020

Abstract

In this present article, we have proposed gravastar under Finslerian spacetime geometry, which can be claimed as an alternative to Finslerian black hole. This study can be considered as a sequel of our previous works based on the Finslerian geometry where we have constructed some phenomenological models for compact stars and wormholes. The concept of gravastar was first proposed by Mazur and Mottola (2001. arXiv:gr-qc/0109035; Proc Natl Acad Sci USA 101:9545, 2004) which consist of three regions in its configuration namely (I) the interior core, (II) the intermediate thin shell, and (III) the vacuum exterior. These three regions can be described by three different equation of state. Here we solve gravastar under the framework of Finsler geometry and obtain a set of exact and physically acceptable solutions for three different regions. We have also studied various physical parameters which are fulfilled by the physical requirement for validity of the present study on gravastar within the Finslerian spacetime geometry.