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Does dark matter admixed pulsar exist?

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Abstract

In this paper, we have considered a two-fluid model assuming that the pulsars are made of ordinary matter admixed with dark matter. Contribution of dark matter comes from the fitting of the rotation curves of the SPARC sample of galaxies (de León in Gen Relativ Gravit 25:1123, 1993). For this, we have investigated the dark matter based on the singular isothermal sphere (SIS) dark matter density profile in the galactic halo region. Considering this two-fluid model, we have studied the physical features of the pulsars present in different galaxy in details. Here, we compute the probable radii, compactness (u) and surface red-shift (\(Z_{s}\)) of the four pulsars namely : PSR J1748-2021B in NGC 6440B galaxy, PSR J1911-5958A in NGC 6752 galaxy, PSR B1802-07 in NGC 6539 galaxy and PSR J1750-37A in NGC 6441 galaxy.

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Acknowledgements

I acknowledge H. Haghi and A. Ghari of IASBS, Iran for providing the data of \(v_\mathrm{halo}^2\) which was calculated from the fitting of the rotation curves of the SPARC sample of galaxies. MK would like to thank IUCAA, Pune, India for providing research facilities and warm hospitality under Visiting Associateship where a part of this work was carried out.

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Correspondence to Mehedi Kalam.

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Molla, S., Ghosh, B. & Kalam, M. Does dark matter admixed pulsar exist?. Eur. Phys. J. Plus 135, 362 (2020). https://doi.org/10.1140/epjp/s13360-020-00364-1

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