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

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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 \(g_{rr}\). 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 \(4U 1608-52\) 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.

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This manuscript has no associated data, or the data will not be deposited. [Authors? comment: The present work is a theoretical study and adopted numerical analysis, and therefore, there is no data to be deposited.]

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Acknowledgements

BCP, RS and SD gratefully acknowledge support from the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, under its Visiting Research Associateship Programme. BCP would like to thank University of North Bengal for awarding a minor research project.

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Authors and Affiliations

  1. Department of Physics, University of North Bengal, Siliguri, Darjeeling, West Bengal, 734 013, India

    Bikash Chandra Paul

  2. Department of Physics, Malda College, Malda, West Bengal, 732101, India

    Shyam Das

  3. Department of Physics, Cooch Behar Panchanan Barma University, Cooch Behar, West Bengal, 736101, India

    Ranjan Sharma

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  1. Bikash Chandra Paul
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Correspondence to Bikash Chandra Paul.

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Paul, B.C., Das, S. & Sharma, R. Anisotropic compact objects with colour-flavour-locked equation of state in Finch and Skea geometry. Eur. Phys. J. Plus 137, 525 (2022). https://doi.org/10.1140/epjp/s13360-022-02746-z

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