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Gravitational Pulse Wave Scattering and the Geroch group
Robert F. Penna
Cylindrical gravitational pulse waves are cylindrical gravitational waves with a pulse profile in the radial direction. The dynamics of cylindrical gravitational pulse waves is gov…
Einstein-Rosen Waves and the Geroch Group
Robert F. Penna
Under the action of the Geroch group, the Minkowski metric can be transformed into any vacuum metric with two commuting Killing vectors. In principle, this reduces the problem of d…
Strong-field tidal distortions of rotating black holes: III. Embeddings in hyperbolic 3-space
Robert F. Penna, Scott A. Hughes, Stephen O'Sullivan
In previous work, we developed tools for quantifying the tidal distortion of a black hole's event horizon due to an orbiting companion. These tools use techniques which require lar…
Strong-field tidal distortions of rotating black holes: II. Horizon dynamics from eccentric and inclined orbits
Stephen O'Sullivan, Scott A. Hughes
In a previous paper, we developed tools for studying the horizon geometry of a Kerr black hole that is tidally distorted by a binary companion using techniques that require large m…
Apparent motion of a spherical shell collapsing onto a black hole
Robert F. Penna
We model the collapse of a spherically symmetric, constant density, pressureless shell onto a preexisting black hole. Contrary to a recent claim of Liu and Zhang (2009), we show th…