2005/03/31 by Marcello Ortaggio, Pavel Krtous, Pavel Krtouš +2 · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.71.124031
published as Phys.Rev. D71 (2005) 124031 · 10 pages, 2 figures, REVTeX 4. v2: added boost in an arbitrary direction, one new figure, one new reference. To appear in Phys. Rev. D
arxiv created 2005/06/10 · openalex publication_date 2005/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the ultrarelativistic boost of the five-dimensional Emparan-Reall nonrotating black ring. Following the classical method of Aichelburg and Sexl, we determine the gravitational field generated by a black ring moving ``with the speed of light'' in an arbitrary direction. In particular, we study in detail two different boosts along axes orthogonal and parallel to the plane of the ring circle, respectively. In both cases, after the limit one obtains a five-dimensional impulsive pp-wave propagating in Minkowski spacetime. The curvature singularity of the original static spacetime becomes a singular source within the wave front, in the shape of a ring or a rod according to the direction of the boost. In the case of an orthogonal boost, the wave front contains also a remnant of the original disk-shaped membrane as a component of the Ricci tensor (which is everywhere else vanishing). We also analyze the asymptotic properties of the boosted black ring at large spatial distances from the singularity, and its behavior near the sources. In the limit when the singularity shrinks to a point, one recovers the well-known five-dimensional analogue of the Aichelburg-Sexl monopole solution.