https://doi.org/10.1140/epjc/s10052-016-4113-x
Regular Article - Theoretical Physics
Stellar filaments in self-interacting Brans–Dicke gravity
1
Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan
2
Department of Mathematics, University of Management and Technology, Johar Town Campus, Lahore, 54782, Pakistan
* e-mail: msharif.math@pu.edu.pk
Received:
23
January
2016
Accepted:
6
April
2016
Published online:
18
May
2016
This paper is devoted to the study of the cylindrically symmetric stellar filaments in self-interacting Brans–Dicke gravity. For this purpose, we construct polytropic filamentary models through a generalized Lane–Emden equation in the Newtonian regime. The resulting models depend upon the values of the cosmological constant (due to the scalar field) along with the polytropic index and represent a generalization of the corresponding models in general relativity. We also investigate the fragmentation of the filaments by exploring the radial oscillations through a stability analysis. This stability criterion depends only upon the adiabatic index.
© The Author(s), 2016