Roman U. Sexl

Aichelburg, P. C.

doi:10.1007/bf00762561

Cited by 82 publications

(147 citation statements)

References 0 publications

Supporting

Mentioning

143

Contrasting

Order By: Relevance

“…In the limit v → c, the gravitational field of a black hole in the reference frame of the string takes the form of a shock wave. The corresponding Aichelburg-Sexl metric [13] is of the form (see Appendix)…”

Section: Analytical Results For Ultra-relativistic Scatteringmentioning

confidence: 99%

See 1 more Smart Citation

Gravitational scattering of cosmic strings by non-rotating black holes

Villiers

Frolov

1999

Class. Quantum Grav.

View full text Add to dashboard Cite

This paper discusses the gravitational scattering of a straight, infinitely long test cosmic string by a black hole. We present numerical results that probe the two-dimensional parameter space of impact parameter and initial velocity and compare them to approximate perturbative solutions derived previously. We analyze string scattering and coil formation in the ultra-relativistic regime and compare these results with analytical results for string scattering by a gravitational shock wave. Special attention is paid to regimes where the string approaches the black hole at near-critical impact parameters. The dynamics of string scattering in this case are highly sensitive to initial data and transient phenomena arise while portions of the string dwell in the strong gravitational field near the event horizon of the black hole. The role of string tension is also investigated by comparing the scattering of a cosmic string to the scattering of a tensionless "dust" string. Finally, the problem of string capture is revisited in light of these new results, and a capture curve covering the entire velocity range (0 < v ≤ c) is given.

show abstract

Section: Analytical Results For Ultra-relativistic Scatteringmentioning

confidence: 99%

“…where ρ 2 = Y 2 + Z 2 . From this it follows that the metric in the Aichelburg-Sexl form [13] is obtained…”

mentioning

confidence: 95%

Gravitational scattering of cosmic strings by non-rotating black holes

Villiers

Frolov

1999

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…For example, the Aichelburg-Sexl solution [14] obtained by boosting the Schwarzschild metric is given by f 0 = 1 2 ζ(log ζ −1). Similarly, the Hotta-Tanaka solution [6] obtained by boosting the Schwarzschild-(anti-)de Sitter metric is given by f 0 = 1 2 ζ(log ζ + 1 2 log 1 6 |Λ|).…”

mentioning

confidence: 99%

Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant

Podolský

Griffiths

1999

Physics Letters A

View full text Add to dashboard Cite

Exact solutions for nonexpanding impulsive waves in a background with nonzero cosmological constant are constructed using a "cut and paste" method. These solutions are presented using a unified approach which covers the cases of de Sitter, anti-de Sitter and Minkowski backgrounds. The metrics are presented in continuous and distributional forms, both of which are conformal to the corresponding metrics for impulsive pp-waves, and for which the limit as Λ → 0 can be made explicitly.

show abstract

“…The main motivation to consider impulsive pp-waves stems from the metrics describing a black hole or a "particle" boosted to the speed of light. The simplest metric of this type, given by Aichelburg and Sexl [7], is a Schwarzschild black hole with mass m boosted in such a way that µ = m/ √ 1 − w 2 is held constant as w → 1. It reads…”

Section: Plane Waves and Their Collisionsmentioning

confidence: 99%

“…Now one writes down the Killing equations and solves them asymptotically in r −1 . One arrives at the following theorem [41]: Suppose that an axially symmetric electrovacuum spacetime admits a "piece" of J + in the sense that the Bondi-Sachs coordinates can be introduced in which the metric takes the form (7), with the asymptotic form of the metric and electromagnetic field given by (8). If this spacetime admits an additional Killing vector forming with the axial Killing vector a two-dimensional Lie algebra, then the additional Killing vector has asymptotically the form…”

Section: The Boost-rotation Symmetric Radiative Spacetimesmentioning

confidence: 99%