https://doi.org/10.1140/epjc/s10052-014-3126-6
Regular Article - Theoretical Physics
A new deterministic model of strange stars
1
Department of Mathematics, Jadavpur University, Kolkata, 700032, West Bengal, India
2
Department of Physics, Government Training College, Hooghly, 712103, West Bengal, India
3
Department of Mathematics, Milwaukee School of Engineering, Milwaukee, WI, 53202-3109, USA
4
Department of Mathematics, Meghnad Saha Institute of Technology, Kolkata, 700150, India
* e-mail: farook_rahaman@yahoo.com
Received:
13
June
2014
Accepted:
9
October
2014
Published online:
30
October
2014
The observed evidence for the existence of strange stars and the concomitant observed masses and radii are used to derive an interpolation formula for the mass as a function of the radial coordinate. The resulting general mass function becomes an effective model for a strange star. The analysis is based on the MIT bag model and yields the energy density, as well as the radial and transverse pressures. Using the interpolation function for the mass, it is shown that a mass–radius relation due to Buchdahl is satisfied in our model. We find the surface redshift (
) corresponding to the compactness of the stars. Finally, from our results, we predict some characteristics of a strange star of radius 9.9 km.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
