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- Title
The Initial Singularity of Ultrastiff Perfect Fluid Spacetimes Without Symmetries.
- Authors
Mark Heinzle, J.; Sandin, Patrik
- Abstract
We consider the Einstein equations coupled to an ultrastiff perfect fluid and prove the existence of a family of solutions with an initial singularity whose structure is that of explicit isotropic models. This family of solutions is 'generic' in the sense that it depends on as many free functions as a general solution, i.e., without imposing any symmetry assumptions, of the Einstein-Euler equations. The method we use is a that of a Fuchsian reduction.
- Subjects
FLUID dynamics; SPACETIME; MATHEMATICAL singularities; SYMMETRY (Physics); NUMERICAL solutions to Einstein field equations; EULER equations; PROOF theory
- Publication
Communications in Mathematical Physics, 2012, Vol 313, Issue 2, p385
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-012-1496-x