General Relativistic and Newtonian White Dwarfs
Abstract
The properties of uniformly rotating white dwarfs (RWDs) are analyzed within the framework of Newton's gravity and general relativity. In both cases Hartle's formalism is applied to construct the internal and external solutions to the field equations. The white dwarf (WD) matter is described by the Chandrasekhar equation of state. The region of stability of RWDs is constructed taking into account the mass-shedding limit, inverse -decay instability, and the boundary established by the turning points of constant angular momentum sequences which separates stable from secularly unstable configurations. We found the minimum rotation period s in both cases and maximum rotating masses and for the Newtonian and general relativistic WDs, respectively. By using the turning point method we show that general relativistic WDs can indeed be axisymmetrically unstable whereas the Newtonian WDs are stable.
Keywords
Cite
@article{arxiv.1503.04171,
title = {General Relativistic and Newtonian White Dwarfs},
author = {Kuantay Boshkayev and Jorge A. Rueda and Remo Ruffini and Ivan Siutsou},
journal= {arXiv preprint arXiv:1503.04171},
year = {2015}
}
Comments
7 pages, 3 figures, 1 table. The Thirteenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity (in 3 Volumes). Edited by ROSQUIST KJELL ET AL