Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-06-29
Phys.Rev. D52 (1995) 4481-4496
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
ReVTeX, 18 pages, 10 figures coming separately in .uu executable format
Scientific paper
10.1103/PhysRevD.52.4481
The gravitational-wave energy flux produced during the head-on infall and collision of two compact objects is calculated using two approaches: (i) a post-Newtonian method, carried to second post-Newtonian order beyond the quadrupole formula, valid for systems of arbitrary masses; and (ii) a black-hole perturbation method, valid for a test-body falling radially toward a black hole. In the test-body case, the methods are compared. The post-Newtonian method is shown to converge to the ``exact'' perturbation result more slowly than expected {\it a priori\/}. A surprisingly good approximation to the energy radiated during the infall phase, as calculated by perturbation theory, is found to be given by a Newtonian, or quadrupole, approximation combined with the exact test-body equations of motion in the Schwarzschild spacetime.
Poisson Eric
Simone Liliana E.
Will Clifford M.
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