Low Velocity Gravitational Capture by Long Cosmic Strings
| dc.creator | Page, Don N. | |
| dc.date | 1999-02-11 | |
| dc.date.accessioned | 2026-07-07T11:34:26Z | |
| dc.date.available | 2026-07-07T11:34:26Z | |
| dc.description | Coupled ordinary differential equations are derived for the distant gravitational interaction of a compact object of mass M and charge Q with an initially straight, infinitely long, cosmic string of tension mu << 1/G = 1, when the relative velocities are very low compared to the speed of light c = 1. (An intermediate result of this derivation is that any localized force F(t) on the string that is confined to a single plane perpendicular to the initial string configuration gives the intersection of the string with this plane -- the point where the force is applied -- the velocity F(t)/(2 mu).) The coupled equations are then used to calculate the critical impact parameter b for marginal gravitational capture as a function of the incident velocity v. For v<<(1-Q^2/M^2)^(1/3) mu^(2/3), so that the string acts relatively stiffly, b = (pi/4)[12 mu^3 (1-Q^2/M^2)^4]^(1/5) M v^(-7/5) + O(M v^(-1/5)). For (1-Q^2/M^2)^(1/3) mu^(2/3) << v << 1 - Q^2/M^2$, so that the string acts essentially as a test string that stays nearly straight, b = [(pi/2)(1-Q^2/M^2)]^(1/2) M v^(-1/2) + O(M v^(-2)). Between these two limits the critical impact parameter is found numerically to fit a simple algebraic combination of these two formulas to better than 99.5% accuracy. | |
| dc.description | 32 pages, no figures, LaTeX | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9902038 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9902038 | |
| dc.identifier | Phys.Rev.D60:023510,1999 | |
| dc.identifier | doi:10.1103/PhysRevD.60.023510 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198250 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Low Velocity Gravitational Capture by Long Cosmic Strings | |
| dc.type | text |