On boosted space-times with cosmological constant and their ultrarelativistic limit

Abstract

The problem of deriving a shock-wave geometry with cosmological constant by boosting a Schwarzschild-de Sitter (or anti-de Sitter) black hole is re-examined. Unlike previous work in the literature, we deal with the exact Schwarzschild-de Sitter (or anti-de Sitter) metric. By virtue of peculiar cancellations in this exact calculation, where the metric does not depend linearly on the mass parameter, we find a singularity of distributional nature on a null hypersurface, which corresponds to a shock-wave geometry derived in a fully non-perturbative way. The result agrees with previous calculations, where the metric had been linearized in the mass parameter.

arXiv comment13 pages, Latex file. In the final version, the presentation has been improved, and two references have been added

References in corpus (6)

• The Ultrarelativistic Kerr-Geometry and its Energy-Momentum Tensor
• Boosting the Kerr-geometry into an arbitrary direction
• Nonlinear gravitational waves and their polarization
• Spin-1 gravitational waves and their natural sources
• Null particle solutions in three-dimensional (anti-) de Sitter spaces
• Ultrarelativistic limits of boosted dilaton black holes

Cited by in corpus (6)

• Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality
• A global picture of quantum de Sitter space
• Critical Formation of Trapped Surfaces in the Collision of Non-expanding Gravitational Shock Waves in de Sitter Space-Time
• Critical Trapped Surfaces Formation in the Collision of Ultrarelativistic Charges in (A)dS
• Catalysis of Black Holes/Wormholes Formation in High Energy Collisions
• Riemann curvature of a boosted spacetime geometry