Eur. Phys. J. Plus (2022) 137: 525
https://doi.org/10.1140/epjp/s13360-022-02746-z

Regular Article

Anisotropic compact objects with colour-flavour-locked equation of state in Finch and Skea geometry

¹ Department of Physics, University of North Bengal, 734 013, Siliguri, Darjeeling, West Bengal, India
² Department of Physics, Malda College, 732101, Malda, West Bengal, India
³ Department of Physics, Cooch Behar Panchanan Barma University, 736101, Cooch Behar, West Bengal, India

^a bcpaul@nbu.ac.in

Received: 8 February 2022
Accepted: 20 April 2022
Published online: 30 April 2022

Abstract

We obtain a new class of models for compact stars in hydrostatic static equilibrium considering the colour-flavour-locked equation of state for a spherically symmetric static anisotropic matter distribution. We solve the Einstein field equation making use of the Finch and Skea ansatz for the metric function . The exterior spacetime of the star is assumed to be described by the Schwarzschild metric. The matching of the interior solution with that of the exterior spacetime and the definition of a radius of the star are employed to determine the model parameters for a realistic star. Recent estimated data corresponding to the pulsar have been utilized for the analysis of the physical viability of the proposed model. The method is applied for other dense stars (pulsars) to probe the physical features using the observed mass. We have also generated the M-R plot which is in good agreement with the observed pulsars mass and radius values.