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New vacuum solutions of conformal Weyl gravity | | V. Dzhunushaliev
; H.-J. Schmidt
; | | Date: |
17 Aug 1999 | | Journal: | J.Math.Phys. 41 (2000) 3007-3015 | | Subject: | gr-qc | | Abstract: | The Bach equation, i.e., the vacuum field equation following from the Lagrangian L=C_{ijkl}C^{ijkl}, will be completely solved for the case that the metric is conformally related to the cartesian product of two 2-spaces; this covers the spherically and the plane symmetric space-times as special subcases. Contrary to other approaches, we make a covariant 2+2-decomposition of the field equation, and so we are able to apply results from 2-dimensional gravity. Finally, some cosmological solutions will be presented and discussed. | | Source: | arXiv, gr-qc/9908049 | | Services: | Forum | Review | PDF | Favorites | |
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