The conformal Penrose limit: back to square one
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CitationGüven, R. (2008). The conformal penrose limit: Back to square one. Classical and Quantum Gravity, 25(16), 1-11. doi:10.1088/0264-9381/25/16/165006
We show that the conformal Penrose limit is an ordinary plane wave limit in a higher dimensional framework which resolves the spacetime singularity. The higher dimensional framework is provided by Ricci-flat manifolds which are of the form M-D = M-d x B, where Md is an Einstein spacetime that has a negative cosmological constant and admits a spacelike conformal Killing vector, and B is a complete Sasaki-Einstein space with constant sectional curvature. We define the Kaluza-Klein metric of M-D through the conformal Killing potential of M-d and prove that M-d has a conformal Penrose limit if and only if M-D has an ordinary plane wave limit. Further properties of the limit are discussed.