Null particle solutions in three-dimensional (anti-) de Sitter spaces
arXiv:gr-qc/9905011 · doi:10.1063/1.532900
Abstract
We obtain a class of exact solutions representing null particles moving in three-dimensional (anti-) de Sitter spaces by boosting the corresponding static point source solutions given by Deser and Jackiw. In de Sitter space the resulting solution describes two null particles moving on the (circular) cosmological horizon, while in anti-de Sitter space it describes a single null particle propagating from one side of the universe to the other. We also boost the BTZ black hole solution to the ultrarelativistic limit and obtain the solution for a spinning null particle moving in anti-de Sitter space. We find that the ultrarelativistic geometry of the black hole is exactly the same as that resulting from boosting the Deser-Jackiw solution when the angular momentum of the hole vanishes. A general class of solutions is also obtained which represents several null particles propagating in the Deser-Jackiw background. The differences between the three-dimensional and four-dimensional cases are also discussed.
11 pages, LaTeX, To appear in J. Math. Phys
References in corpus (2)
Cited by in corpus (12)
- Black holes and the butterfly effect
- Multiple Shocks
- Random Matrix Theory for Complexity Growth and Black Hole Interiors
- Algebra of diffeomorphism-invariant observables in Jackiw-Teitelboim Gravity
- Joule-Thomson expansion of Lower-dimensional black hole
- Impulsive waves in ghost free infinite derivative gravity in anti-de Sitter spacetime
- On boosted space-times with cosmological constant and their ultrarelativistic limit
- Two gravitational shock waves on the AdS_3 brane
- Free-fall Rainbow BTZ Black Hole
- Soft thermodynamics of gravitational shock wave
- Spacetime defects and group momentum space
- Three-dimensional gravity and deformations of relativistic symmetries