Eur. Phys. J. Plus (2017) 132: 274
https://doi.org/10.1140/epjp/i2017-11586-5

Regular Article

Modelling a new class of anisotropic compact stars satisfying the Karmakar’s condition

Department of Mathematics, Government General Degree College, Singur, Hooghly, 712409, West Bengal, India

^* e-mail: piyalibhar90@gmail.com

Received: 16 January 2017
Accepted: 9 May 2017
Published online: 22 June 2017

Abstract

The present paper provides a new class of interior solutions which satisfies the Karmakar condition (K.R. Karmarkar, Proc. Indian Acad. Sci. A 27, 56 (1948)). The model is generated by assuming a reasonable choice for the metric potential and the model parameters are obtained accordingly since, in the case of embedding class-I, the metric co-efficients are dependent on each other. We match our interior solution to the exterior Schwarzschild line element in the presence of thin shell. The proposed model does not suffer from central singularity. The model is discussed for a neutron star of mass and radius 10km. The potential stability condition of the model is also discussed.