English

The Kasner Brane

General Relativity and Quantum Cosmology 2015-12-04 v3

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.

Keywords

Cite

@article{arxiv.gr-qc/0510005,
  title  = {The Kasner Brane},
  author = {Mark D. Roberts},
  journal= {arXiv preprint arXiv:gr-qc/0510005},
  year   = {2015}
}

Comments

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