Causal structures of pp-waves

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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49 pages, 8 eps figures, harvmac, v2:refs added

Scientific paper

10.1088/1126-6708/2002/12/043

We discuss the causal structure of pp-wave spacetimes using the ideal point construction outlined by Geroch, Kronheimer, and Penrose. This generalizes the recent work of Marolf and Ross, who considered similar issues for plane wave spacetimes. We address the question regarding the dimension of the causal boundary for certain specific pp-wave backgrounds. In particular, we demonstrate that the pp-wave spacetime which gives rise to the N = 2 sine-Gordon string world-sheet theory is geodesically complete and has a one-dimensional causal boundary.

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