Generating asymptotically plane wave spacetimes

Details Generating asymptotically plane wave spacetimes Generating asymptotically plane wave spacetimes

2002-11-22

arxiv.org/abs/hep-th/0211206v3

JHEP 0301 (2003) 031

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 1 eps figure; harvmac; v2:refs added; v3:minor comments added

Scientific paper

10.1088/1126-6708/2003/01/031

In an attempt to study asymptotically plane wave spacetimes which admit an event horizon, we find solutions to vacuum Einstein's equations in arbitrary dimension which have a globally null Killing field and rotational symmetry. We show that while such solutions can be deformed to include ones which are asymptotically plane wave, they do not posses a regular event horizon. If we allow for additional matter, such as in supergravity theories, we show that it is possible to have extremal solutions with globally null Killing field, a regular horizon, and which, in addition, are asymptotically plane wave. In particular, we deform the extremal M2-brane solution in 11-dimensional supergravity so that it behaves asymptotically as a 10-dimensional vacuum plane wave times a real line.

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