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Central pressure-dependent compact anisotropic stellar model and its tidal Love number

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Abstract

We develop an anisotropic compact stellar model by assuming a Buchdahl ansazt (Phys. Rev. 116: 1027–1034, 1959)-type metric potential and a particular radial pressure profile. We analyse the tidal behaviours of such class of compact stars by estimating their tidal Love Numbers (TLN). In particular, we find a relationship between the TLN and the central density of the configuration.

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Acknowledgements

FR, RS and SD gratefully acknowledge support from the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, Govt. of India, under its Visiting Research Associateship Programme.

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Authors and Affiliations

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

    Shyam Das

  2. Department of Physics, Pondicherry University, Kalapet, Puducherry, 605014, India

    Bikram Keshari Parida

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

    Ranjan Sharma

  4. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, 700032, India

    Farook Rahaman

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  1. Shyam Das
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Correspondence to Ranjan Sharma.

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Das, S., Parida, B.K., Sharma, R. et al. Central pressure-dependent compact anisotropic stellar model and its tidal Love number. Eur. Phys. J. Plus 137, 1092 (2022). https://doi.org/10.1140/epjp/s13360-022-03292-4

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