Isothermal spheres in general relativity and Horava-type gravity
General Relativity and Quantum Cosmology
2021-03-31 v5
Abstract
We construct a toy model for isothermal spheres in Horava gravity, which includes Einstein's gravity if a parameter is appropriately chosen. The equations for the isothermal spheres are derived from the partition function of the gravitating particle system. We confirm that the Newtonian limit of the system coincides with the model of the well-known isothermal sphere. The stability of the isothermal sphere is found to be sensitive to the energy density at the center of the sphere.
Keywords
Cite
@article{arxiv.2010.00173,
title = {Isothermal spheres in general relativity and Horava-type gravity},
author = {Nahomi Kan and Kiyoshi Shiraishi},
journal= {arXiv preprint arXiv:2010.00173},
year = {2021}
}
Comments
17 pages, 12 figures. v5; almost matches the published version