https://doi.org/10.1140/epja/i2017-12298-1
Regular Article - Theoretical Physics
Anisotropic compacts stars on paraboloidal spacetime with linear equation of state
1
Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, 390 002, Vadodara, Gujarat, India
2
Department of Mathematics and Computer Science, Pandit Deendayal Petroleum University, 382 007, Gandhinagar, Gujarat, India
* e-mail: dishantpandya777@gmail.com
Received:
13
December
2016
Accepted:
28
April
2017
Published online:
12
June
2017
New exact solutions of Einstein’s field equations (EFEs) by assuming a linear equation of state, , where is the radial pressure and is the surface density, are obtained on the background of a paraboloidal spacetime. By assuming estimated mass and radius of strange star candidate 4U 1820-30, various physical and energy conditions are used for estimating the range of parameter . The suitability of the model for describing pulsars like PSR J1903+327, Vela X-1, Her X-1 and SAX J1808.4-3658 has been explored and respective ranges of , for which all physical and energy conditions are satisfied throughout the distribution, are obtained.
© SIF, Springer-Verlag GmbH Germany, 2017