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Relativistic electromagnetic mass models in spherically symmetric spacetime

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Abstract

Under the static spherically symmetric Einstein–Maxwell spacetime of embedding class one we explore possibility of constructing electromagnetic mass model where mass and other physical parameters have purely electromagnetic origin (Lorentz in Proc. Acad. Sci. Amst. 6, 1904). This work is in continuation of our earlier investigation of Maurya et al. (Eur. Phys. J. C 75:389, 2015a) where we developed an algorithm and found out three new solutions of electromagnetic mass model. In the present work we consider different metric potentials \(\nu \) and \(\lambda \) and have analyzed them in a systematic way. It is observed that some of the previous solutions related to electromagnetic mass model are nothing but special cases of the presently obtained generalized solution set. We further verify the solution set and especially show that these are extremely applicable in the case of compact stars.

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Acknowledgements

SKM acknowledges support from the authority of University of Nizwa, Nizwa, Sultanate of Oman. Also SR is thankful to the authority of Inter-University Center for Astronomy and Astrophysics, Pune, India as well as The Institute of Mathematical Sciences, Chennai, India for providing Associateship under which a part of this work was carried out. Also YKG acknowledges support and appreciation from the authority of Raj Kumar Goyal Institute of Technology, Ghaziabad, 201003, U.P., India. We all are grateful to the anonymous referee for the pertinent comments which have enabled us to improve the manuscript substantially.

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Correspondence to Saibal Ray.

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Maurya, S.K., Gupta, Y.K., Ray, S. et al. Relativistic electromagnetic mass models in spherically symmetric spacetime. Astrophys Space Sci 361, 351 (2016). https://doi.org/10.1007/s10509-016-2925-7

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  • DOI: https://doi.org/10.1007/s10509-016-2925-7

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