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New interior solution describing relativistic fluid sphere

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Abstract

A new exact solution of embedding class I is presented for a relativistic anisotropic massive fluid sphere. The new exact solution satisfies Karmarkar condition, is well-behaved in all respects, and therefore is suitable for the modelling of superdense stars. Consequently, using this solution, we have studied in detail two compact stars, namely, XTE J1739-289 (strange star \(1.51M_{\odot }\), 10.9 km) and PSR J1614-2230 (neutron star \(1.97M_{\odot }\), 14 km). The solution also satisfies all energy conditions with the compactness parameter lying within the Buchdahl limit.

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Acknowledgements

The authors are grateful to the anonymous referee(s) for rigorous review, constructive comments and useful suggestions.

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Authors and Affiliations

  1. Department of Physics, National Defence Academy, Khadakwasla, Pune, 411 023, India

    Ksh Newton Singh & Narendra Pradhan

  2. Department of Mathematics, National Defence Academy, Khadakwasla, Pune, 411 023, India

    Neeraj Pant

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  1. Ksh Newton Singh
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  2. Narendra Pradhan
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  3. Neeraj Pant
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Correspondence to Ksh Newton Singh.

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Newton Singh, K., Pradhan, N. & Pant, N. New interior solution describing relativistic fluid sphere. Pramana - J Phys 89, 23 (2017). https://doi.org/10.1007/s12043-017-1418-8

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  • DOI: https://doi.org/10.1007/s12043-017-1418-8

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