Generating asymptotically plane wave spacetimes

Abstract

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.

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

References in corpus (6)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Plane Waves: To infinity and beyond!
• No horizons in pp-waves
• Causal structures of pp-waves
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Cited by in corpus (13)

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• Families of IIB duals for nonrelativistic CFTs
• Black strings in asymptotically plane wave geometries
• Twisted Backgrounds, PP-Waves and Nonlocal Field Theories
• Rotating Black Holes in a Goedel Universe
• Intersecting branes in pp-wave spacetime
• Hot HB stars in globular clusters - Physical parameters and consequences for theory. VI. The second parameter pair M 3 and M 13
• Supersymmetric Strings and Waves in D=3, N=2 Matter Coupled Gauged Supergravities
• Black holes and black strings in plane waves
• Fundamental branes and shock waves
• Blackfolds, Plane Waves and Minimal Surfaces
• Asymptotically Plane Wave Spacetimes and their Actions
• Backreacted D0/D4 background