The effective geometry of the $n=1$ uniformly rotating self-gravitating polytrope
General Relativity and Quantum Cosmology
2015-06-22 v1
Abstract
The \lq\lq effective geometry" formalism is used to study the perturbations of a perfect barotropic Newtonian self-gravitating rotating and compressible fluid coupled with gravitational backreaction. The case of a uniformly rotating polytrope with index is investigated, due to its analytical tractability. Special attention is devoted to the geometrical properties of the underlying background acoustic metric, focusing in particular on null geodesics as well as on the analog light cone structure.
Keywords
Cite
@article{arxiv.1408.4602,
title = {The effective geometry of the $n=1$ uniformly rotating self-gravitating polytrope},
author = {Donato Bini and Christian Cherubini and Simonetta Filippi and Andrea Geralico},
journal= {arXiv preprint arXiv:1408.4602},
year = {2015}
}
Comments
16 pages, 8 figures; published version