https://doi.org/10.1140/epjc/s10052-016-4090-0
Regular Article - Theoretical Physics
A generalized model for compact stars
1
Department of Physics, Bodai High School (H.S.), Bodai, Amdanga, North 24 Parganas, Kolkata, West Bengal, 700126, India
2
Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata, West Bengal, 700010, India
3
Department of Mathematics, Jadavpur University, Kolkata, West Bengal, 700032, India
* e-mail: saibal@associates.iucaa.in
Received:
17
March
2016
Accepted:
12
April
2016
Published online:
2
May
2016
By virtue of the maximum entropy principle, we get an Euler–Lagrange equation which is a highly nonlinear differential equation containing the mass function and its derivatives. Solving the equation by a homotopy perturbation method we derive a generalized expression for the mass which is a polynomial function of the radial distance. Using the mass function we find a partially stable configuration and its characteristics. We show that different physical features of the known compact stars, viz. ,
, SAX J (SS1), SAX J (SS2), and
, can be explained by the present model.
© The Author(s), 2016