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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Scientific paper

10.1088/0264-9381/15/12/012

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.

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