Conservation laws for collisions of branes (or shells) in general relativity
arXiv:gr-qc/0111013 · doi:10.1103/PhysRevLett.88.181301
Abstract
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.
5 pages, revtex with epsf, 3 figures; revised version, minor changes, to appear in Physical Review Letters
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