Gravitational Capture and Scattering of Straight Test Strings with Large Impact Parameters

Details Gravitational Capture and Scattering of Straight Test Strings with Large Impact Parameters Gravitational Capture and Scattering of Straight Test Strings with Large Impact Parameters

1998-04-30

arxiv.org/abs/gr-qc/9804088v1

Phys.Rev. D58 (1998) 105026

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, no figures, Latex

Scientific paper

10.1103/PhysRevD.58.105026

The capture or scattering of an initially straight infinite test cosmic string by a Kerr-Newman black hole, or by any other small source of an electrovac gravitational field, is analyzed analytically when the string moves with initial velocity v and large impact parameter b >> M so that the string stays very nearly straight (except during the final capture process, if that occurs, or except far behind the gravitating object, if b is not much greater than the energy of the object in the frame of the string). The critical impact parameter for capture at low velocities is shown to be [(pi/2)(M^2-Q^2)/v]^{1/2}. For all larger b, the displacement of the string from the plane of the gravitating object after the scattering approaches the final value [b^2 - (pi/2)(M^2-Q^2)/v]^{1/2} - 2 pi M v/(1-v^2)^{1/2}, for any v, so long as b >> M.

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