Conservation laws for collisions of branes (or shells) in general relativity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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5 pages, revtex with epsf, 3 figures; revised version, minor changes, to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.88.181301

We consider the collision of self-gravitating n-branes in a (n+2)-dimensional
spacetime. We show that there is a geometrical constraint which can be
expressed as a simple sum rule for angles characterizing Lorentz boosts between
branes and the intervening spacetime regions. This constraint can then be
re-interpreted as either energy or momentum conservation at the collision.

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