Statistics – Computation
Scientific paper
May 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...304..671c&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 304, May 15, 1986, p. 671-681. Research supported by the University of Vict
Statistics
Computation
2
Axisymmetric Bodies, Binary Stars, Gravitational Waves, Pulsars, Relativity, Two Body Problem, Computational Astrophysics, Energy Dissipation, Equations Of State, Gauss Equation, Quadrupoles
Scientific paper
By accounting for nonlinearities and applying the Gauss theorem for retarded functions, the formula for gravitational radiation energy loss in general relativity is developed. This replaces the quadrupole formula, while clarifying the evident minimal domain of validity of the quadrupole formula. The new formula is considered in detail for the axisymmetric two-body problem with the conventional equation of state, epsilon = epsilon (Rho), where the nonlinear contributions are shown to cancel and the time-retardation contributions vanish individually. An order-of-magnitude analysis is performed for the binary pulsar, whereby it is found that both types of new contributions have the potential to compete with the quadrupole term.
Cooperstock Fred I.
Lim Paul H.
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