Power Law Stellar Distributions
Astrophysics
2011-07-19 v1
Abstract
The density profiles and other quantities of physical interest for spherically symmetric systems are computed by assuming that a collisionless stellar gas may relax to the non-Gaussian power law distribution suggested by the nonextensive kinetic theory. There are two different classes of solutions. The first class behaves like a subset of the polytropic Lane-Emden spheres, whereas the second one corresponds to a transition between two different polytropic indices. Unlike the isothermal Maxwellian sphere, the total mass and sizes of both classes are finite for a large range of the nonextensive q-parameter.
Cite
@article{arxiv.astro-ph/0406404,
title = {Power Law Stellar Distributions},
author = {J. A. S. Lima and R. E. de Souza},
journal= {arXiv preprint arXiv:astro-ph/0406404},
year = {2011}
}
Comments
16 pages, 6 figures