Scattering of Straight Cosmic Strings by Black Holes: Weak Field Approximation

Details Scattering of Straight Cosmic Strings by Black Holes: Weak Field Approximation Scattering of Straight Cosmic Strings by Black Holes: Weak Field Approximation

1998-04-30

arxiv.org/abs/gr-qc/9804087v1

Phys.Rev. D58 (1998) 105018

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 5 figures

Scientific paper

10.1103/PhysRevD.58.105018

The scattering of a straight, infinitely long string moving with velocity $v$ by a black hole is considered. We analyze the weak-field case, where the impact parameter ($b_{imp}$) is large, and obtain exact solutions to the equations of motion. As a result of scattering, the string is displaced in the direction perpendicular to the velocity by an amount $\Delta b\sim -2\pi GMv\gamma/c^3 -\pi (GM)^2/ (4c^3 v b_{imp})$, where $\gamma=(1-(v/c)^2)^{-1/2}$. The second term dominates at low velocities $v/c<(GM/b_{imp})^{1/2}$ . The late-time solution is represented by a kink and anti-kink, propagating in opposite directions at the speed of light, and leaving behind them the string in a new ``phase''. The solutions are applied to the problem of string capture, and are compared to numerical results.

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