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Irrotational Binary Neutron Stars in Quasi-Equilibrium in General Relativity

Teukolsky, Saul A. (1998) Irrotational Binary Neutron Stars in Quasi-Equilibrium in General Relativity. Astrophysical Journal, 504 (1). pp. 442-449. ISSN 0004-637X. http://resolver.caltech.edu/CaltechAUTHORS:20180629-150439865

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Abstract

Neutron stars in binary orbit emit gravitational waves and spiral slowly together. During this inspiral, they are expected to have very little vorticity. It is in fact a good approximation to treat the system as having zero vorticity, i.e., as irrotational. Because the orbital period is much shorter than the radiation reaction timescale, it is also an excellent approximation to treat the system as evolving through a sequence of equilibrium states, in each of which the gravitational radiation is neglected. In Newtonian gravity, one can simplify the hydrodynamic equations considerably for an equilibrium irrotational binary by introducing a velocity potential. The equations reduce to a Poisson-like equation for the potential, and a Bernoulli-type integral for the density. We show that a similar simplification can be carried out in general relativity. The resulting equations are much easier to solve than other formulations of the problem.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1086/306082DOIArticle
Additional Information:© 1998. The American Astronomical Society. Received 1998 March 9; accepted 1998 April 7. I thank Larry Kidder for helpful discussions. This work was supported in part by NSF grant PHY 94-08378 to Cornell University, and by the Grand Challenge grant NSF PHY 93-18152/ASC 93-18152.
Funders:
Funding AgencyGrant Number
NSFPHY 94-08378
NSFPHY 93-18152
NSFASC 93-18152
Subject Keywords:binaries: close; gravitation; hydrodynamics; relativity; stars: neutron; stars: rotation
Record Number:CaltechAUTHORS:20180629-150439865
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180629-150439865
Official Citation:Saul A. Teukolsky 1998 ApJ 504 442
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87489
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:29 Jun 2018 22:56
Last Modified:29 Jun 2018 22:56

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