The Kasner Brane
arXiv:gr-qc/0510005 · doi:10.1142/S0217732315501850
Abstract
Solutions are found to field equations constructed from the Pauli, Bach and Gauss-Bonnet quadratic tensors to the Kasner and Kasner brane spacetimes in up to five dimensions. A double Kasner space is shown to have a vacuum solution. Brane solutions in which the bulk components of the Einstein tensor vanish are also looked at and for four branes a solution similar to radiation Robertson-Walker spacetime is found. Matter trapping of a test scalar field and a test perfect fluid are investigated using energy conditions.
now 11 pages was 10 pages, v3 12 november 2009 section added on matter trapping v2 26oct09 - sections added on double kasner and brane fluid