Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-09-26
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, 5 epsf figures, Latex, uses psfig. Based on talk presented at Workshop on Black Hole Interiors, Haifa, June 22 - Jul
Scientific paper
The spatially homogeneous, isotropic Standard Cosmological Model appears to describe our Universe reasonably well. However, Einstein's equations allow a much larger class of cosmological solutions. Theorems originally due to Penrose and Hawking predict that all such models (assuming reasonable matter properties) will have an initial singularity. The nature of this singularity in generic cosmologies remains a major open question in general relativity. Spatially homogeneous but possibly anisotropic cosmologies have two types of singularities: (1) velocity dominated---(reversing the time direction) the universe evolves to the singularity with fixed anisotropic collapse rates ; (2) Mixmaster---the anisotropic collapse rates change in a deterministically chaotic way. Much less is known about spatially inhomogeneous universes. Belinskii, Khalatnikov, and Lifshitz (BKL) claimed long ago that a generic universe would evolve toward the singularity as a different Mixmaster universe at each spatial point. We shall report on the results of a program to test the BKL conjecture numerically. Results include a new algorithm to evolve homogeneous Mixmaster models, demonstration of velocity dominance and understanding of evolution toward velocity dominance in the plane symmetric Gowdy universes (spatial dependence in one direction), demonstration of velocity dominance in polarized U(1) symmetric cosmologies (spatial dependence in two directions), and exploration of departures from velocity dominance in generic U(1) universes.
Berger Beverly K.
Garfinkle David
Moncrief Vincent
No associations
LandOfFree
Numerical Study of Cosmological Singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Numerical Study of Cosmological Singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical Study of Cosmological Singularities will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-495721