A New Class of Asymptotically Non-Chaotic Vacuum Singularities
- Author(s)
- Paul Klinger
- Abstract
The BKL conjecture, stated in the 1960s and early 1970s by Belinski, Khalatnikov and Lifschitz, proposes a detailed description of the generic asymptotic dynamics of spacetimes as they approach a spacelike singularity. It predicts complicated chaotic behaviour in the generic case, but simpler non-chaotic one in cases with symmetry assumptions or certain kinds of matter fields.Here we construct a new class of four-dimensional vacuum spacetimes containing spacelike singularities which show non-chaotic behaviour. In contrast with previous constructions, no symmetry assumptions are made. Rather, the metric is decomposed in Iwasawa variables and conditions on the asymptotic evolution of some of them are imposed. The constructed solutions contain five free functions of all space coordinates, two of which are constrained by inequalities.We investigate continuous and discrete isometries and compare the solutions to previous constructions. Finally, we give the asymptotic behaviour of the metric components and curvature.
- Organisation(s)
- Gravitational Physics
- Journal
- Annals of Physics
- Volume
- 363
- Pages
- 1-35
- No. of pages
- 35
- ISSN
- 0003-4916
- Publication date
- 10-2015
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity
- Keywords
- ASJC Scopus subject areas
- Physics and Astronomy(all)
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/a-new-class-of-asymptotically-nonchaotic-vacuum-singularities(079ec8f4-5160-494d-9b62-617e9e8614b7).html