ADM and Bondi four-momenta for the ultrarelativistic Schwarzschild black hole

Abstract

We argue that it is possible to assign Bondi as well as ADM four-momentum to the ultrarelativistic limit of the Schwarzschild black hole in agreement to what is expected on physical grounds: The Bondi-momentum is lightlike and equal to the ADM-momentum up to the retarded time when particle and radiation escape to infinity and drops to zero thereafter, leaving flat space behind.

Changes in the expression used for the ADM four-momentum without altering the result, correction of some minor typing errors

References in corpus (3)

• The Ultrarelativistic Kerr-Geometry and its Energy-Momentum Tensor
• Killing vectors in asymptotically flat space-times: I. Asymptotically translational Killing vectors and the rigid positive energy theorem
• A Note on the Symmetries of the Gravitational Field of a Massless Particle

Cited by in corpus (5)

• Black Hole Formation from the Collision of Plane-Fronted Gravitational Waves
• Boosting Taub-NUT to a BPS NUT-wave
• Generalized asymptotic structure of the ultrarelativistic Schwarzschild black hole
• Electric and magnetic aspects of gravitational theories
• Nonanalytic extensions of the extreme Reissner-Nordstroem metric in terms of weak solutions