Abstract
Some new families of electrically charged stellar models of ultra-compact star have been studied. With the help of particular form of one of the metric potentials the Einstein–Maxwell field equations in general relativity have been transformed to a system of ordinary differential equations. The interior matter pressure, energy–density, and the adiabatic sound speed are expressed in terms of simple algebraic functions. The constant parameters involved in the solution have been set so that certain physical criteria satisfied. Based on the analytic model developed in the present work, the values of the relevant physical quantities have been calculated by assuming the estimated masses and radii of some well known potential strange star candidates like X-ray pulsar Her X-1, millisecond X-ray pulsar SAX J 1808.4-3658, and 4U 1820-30. The analytical equations of state of the charged matter distribution may play a significant role in the study of the internal structure of highly compact charged stellar objects in general relativity.
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Notes
Throughout the work we will use c=G=1 except in the tables and figures.
The following physical constants, in their conventional values, have been used for the numerical calculation: C=1=2.997×108 ms−1, G=1=6.674×10−11 N m2 kg−2, M Θ =1.486 km=2×1030 kg.
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Acknowledgements
It is pleasure to thank Z. Rahman and S. Fatema for their help and continuous support. Here I want to acknowledge that some of the works I did in Uttara University, Dhaka, Bangladesh, where I served as a lecturer of Mathematics in the Department of Electrical and Electronic Engineering.
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Mahbubur Rahman, A.H.M., Murad, M.H. Some electrically charged relativistic stellar models in general relativity. Astrophys Space Sci 351, 255–265 (2014). https://doi.org/10.1007/s10509-014-1823-0
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DOI: https://doi.org/10.1007/s10509-014-1823-0