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Prog. Theor. Phys. Supplement No.136 (1999) pp. 199-215
Darwin-Riemann Problems in Newtonian Gravity
Yoshiharu Eriguchi1,* and
Kōji Uryū2,**
1Department of Earth Science and Astronomy
Graduate School of Arts and Sciences, University of Tokyo
Komaba, Tokyo 153-8902, Japan
2SISSA, Via Beirut 2/4, Trieste 34013, Italy
(Received August 31, 1999)
Abstract:
In this paper, we have reviewed the present status of the theory of
equilibrium configurations of compact binary star systems in Newtonian
gravity. Evolutionary processes of compact binary star systems due to
gravitational wave emission can be divided into three stages according to
the time scales and configurations. The evolution is quasi-stationary
until a merging process starts, since the time scale of the orbital
change due to gravitational wave emission is longer than the
orbital period. In this stage, equilibrium sequences
can be applied to evolution of compact binary star systems.
Along the equilibrium sequences, there appear several critical states where
some instability sets in or configuration changes drastically. We have
discussed relations among these critical points and have stressed the
importance of the mass overflow as well as the dynamical instability of
orbital motions.
Concerning the equilibrium sequences of binary star systems, we have summarized
classical results of incompressible ellipsoidal configurations. Recent results
of compressible binary star systems obtained by the ellipsoidal approximation
and by numerical computations have been shown and discussed. It is important
to note that numerical computational solutions to exact equations
show that compressibility may lead realistic neutron star binary systems
to mass overflows instead of dynamical disruptions for a wide
range of parameters.
URL :
http://ptp.ipap.jp/link?PTPS/136/199/
DOI : 10.1143/PTPS.136.199
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Citing Article(s) :
-
Progress of Theoretical Physics Supplement No.136 (1999) pp. 216-234
:
-
Darwin-Riemann Problems in General Relativity
-
Silvano Bonazzola, Eric Gourgoulhon, Philippe Grandclément and Jean-Alain Marck
