English

On the Relativistic anisotropic configurations

General Relativity and Quantum Cosmology 2016-07-20 v1

Abstract

In this paper we study anisotropic spherical polytropes within the framework of general relativity. Using the anisotropic Tolman-Oppenheimer-Volkov (TOV) equations, we explore the relativistic anisotropic Lane-Emden equations. We find how the anisotropic pressure affects the boundary conditions of these equations. Also we argue that the behaviour of physical quantities near the center of star changes in the presence of anisotropy. For constant density, a class of exact solution is derived with the aid of a new ansatz and its physical properties are discussed.

Keywords

Cite

@article{arxiv.1604.06216,
  title  = {On the Relativistic anisotropic configurations},
  author = {F. Shojai and M. Kohandel and A. Stepanian},
  journal= {arXiv preprint arXiv:1604.06216},
  year   = {2016}
}

Comments

4 figures

R2 v1 2026-06-22T13:37:33.617Z