Analytical approximation of the exterior gravitational field of rotating neutron stars

Autor:	Teichmüller, C., Fröb, M. B., Maucher, F.
Rok vydání:	2011
Předmět:	General Relativity and Quantum Cosmology Mathematical Physics Nonlinear Sciences - Pattern Formation and Solitons Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	Class. Quantum Grav. 28 155015, 2011
Druh dokumentu:	Working Paper
DOI:	10.1088/0264-9381/28/15/155015
Popis:	It is known that B\"acklund transformations can be used to generate stationary axisymmetric solutions of Einstein's vacuum field equations with any number of constants. We will use this class of exact solutions to describe the exterior vacuum region of numerically calculated neutron stars. Therefore we study how an Ernst potential given on the rotation axis and containing an arbitrary number of constants can be used to determine the metric everywhere. Then we review two methods to determine those constants from a numerically calculated solution. Finally, we compare the metric and physical properties of our analytic solution with the numerical data and find excellent agreement even for a small number of parameters. Comment: 9 pages, 10 figures, 3 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1102.5252 Zobrazit plný text záznamu View this record from Arxiv