International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 41-44, Pages 2205-2208
doi:10.1155/S0161171204309038
Mirror symmetry and conformal flatness in general relativity
P. Gravel1
and C. Gauthier2
1Département de Mathématiques et d'Informatique, Collège Militaire Royal du Canada, Kingston K7K 5L0, ON, Canada
2Département de Mathématiques et de Statistique, Université de Moncton, Moncton E1A 3E9, NB, Canada
Abstract
Using symmetry arguments only, we show that every spacetime with mirror-symmetric spatial sections is necessarily conformally flat. The general form of the Ricci tensor of such spacetimes is also determined.