The Initial Singularity of Ultrastiff Perfect Fluid Spacetimes Without Symmetries

Author(s)
Johannes Markus Heinzle, Patrik Sandin
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.

Organisation(s)
Gravitational Physics
External organisation(s)
Karlstad University
Journal
Communications in Mathematical Physics
Volume
313
Pages
385-403
No. of pages
19
ISSN
0010-3616
DOI
https://doi.org/10.1007/s00220-012-1496-x
Publication date
2012
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics, 103028 Theory of relativity, 103019 Mathematical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/the-initial-singularity-of-ultrastiff-perfect-fluid-spacetimes-without-symmetries(8dd6f163-2b1d-4c6b-a4ff-6fb5f95cfbbf).html