The conformal Penrose limit: back to square one
Abstract
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 Ricciflat manifolds which are of the form M_{D} = M_{d} × B, where M_{d} 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.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 August 2008
 DOI:
 10.1088/02649381/25/16/165006
 arXiv:
 arXiv:0804.2697
 Bibcode:
 2008CQGra..25p5006G
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematics  Differential Geometry
 EPrint:
 16 pages, LaTeX