Plane Waves: To infinity and beyond!

Abstract

We describe the asymptotic boundary of the general homogeneous plane wave spacetime, using a construction of the `points at infinity' from the causal structure of the spacetime as introduced by Geroch, Kronheimer and Penrose. We show that this construction agrees with the conformal boundary obtained by Berenstein and Nastase for the maximally supersymmetric ten-dimensional plane wave. We see in detail how the possibility to go beyond (or around) infinity arises from the structure of light cones. We also discuss the extension of the construction to time-dependent plane wave solutions, focusing on the examples obtained from the Penrose limit of Dp-branes.

16 pages, 3 figures, minor changes

References in corpus (4)

• On lightcone string field theory from Super Yang-Mills and holography
• Supergravity pp-wave solutions with 28 and 24 supercharges
• Penrose Limits of RG Fixed Points and PP-Waves with Background Fluxes
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• On the Singularity Structure and Stability of Plane Waves
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• Further properties of causal relationship: causal structure stability, new criteria for isocausality and counterexamples
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• On the energy transported by exact plane gravitational-wave solutions
• Vacuum Plane Waves in 4+1 D and Exact solutions to Einstein's Equations in 3+1 D
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• On the maximal superalgebras of supersymmetric backgrounds
• Causally pathological spacetimes are physically relevant
• Gravitational waves in metric-affine gravity theory
• Black holes and black strings in plane waves
• Conformal boundary and geodesics for $Ad{S}_5\times S^5$ and the plane wave: Their approach in the Penrose limit
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• Type IIB Colliding Plane Waves
• The String Light Cone in the pp-wave Background
• A New Twist on the Geometry of Gravitational Plane Waves
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• On homogeneous plane waves
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• Asymptotically Plane Wave Spacetimes and their Actions
• The space of light rays: Causality and $L$-boundary
• Effective Potential in PP-Wave Geometry
• Discrete Light-Cone Quantization in PP-Wave Background
• Plane Waves and Vacuum Interpolation