https://doi.org/10.1140/epjc/s10052-016-4111-z
Regular Article - Theoretical Physics
A new model for spherically symmetric anisotropic compact star
1
Department of Mathematical and Physical Sciences, College of Arts and Science, University of Nizwa, Nizwa, Sultanate of Oman
2
Department of Mathematics, Raj Kumar Goel Institute of Technology, Ghaziabad, UP, India
3
Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata, 700010, West Bengal, India
* e-mail: saibal@associates.iucaa.in
Received:
1
January
2016
Accepted:
26
April
2016
Published online:
12
May
2016
In this article we obtain a new anisotropic solution for Einstein’s field equations of embedding class one metric. The solution represents realistic objects such as Her X-1 and RXJ 1856-37. We perform a detailed investigation of both objects by solving numerically the Einstein field equations with anisotropic pressure. The physical features of the parameters depend on the anisotropic factor i.e. if the anisotropy is zero everywhere inside the star then the density and pressures will become zero and the metric turns out to be flat. We report our results and compare with the above mentioned two compact objects as regards a number of key aspects: the central density, the surface density onset and the critical scaling behaviour, the effective mass and radius ratio, the anisotropization with isotropic initial conditions, adiabatic index and red shift. Along with this we have also made a comparison between the classical limit and theoretical model treatment of the compact objects. Finally we discuss the implications of our findings for the stability condition in a relativistic compact star.
© The Author(s), 2016
