Horava-Witten Stability: eppur si muove

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 22 pages, extended discussion of the global spacetime structure, and reference added

Scientific paper

10.1016/j.nuclphysb.2005.10.018

We construct exact time-dependent solutions of the supergravity equations of motion in which two initially non-singular branes, one with positive and the other with negative tension, move together and annihilate each other in an all-enveloping spacetime singularity. Among our solutions are the Horava-Witten solution of heterotic M-theory and a Randall-Sundrum I type solution, both of which are supersymmetric, i.e. BPS, in the time-independent case. In the absence of branes our solutions are of Kasner type, and the source of instability may ascribed to a failure to stabilise some of the modulus fields of the compactification. It also raises questions about the viability of models based on some sorts of negative tension brane.

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