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Head-on collision of compact objects in general relativity: Comparison of post-Newtonian and perturbation approaches

Head-on collision of compact objects in general relativity: Comparison of post-Newtonian and perturbation approaches

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 …