# Asymptotic behavior of the gravitational field and the nature of singularities in gowdy spacetimes

@article{Isenberg1990AsymptoticBO, title={Asymptotic behavior of the gravitational field and the nature of singularities in gowdy spacetimes}, author={James Allen Isenberg and Vincent Moncrief}, journal={Annals of Physics}, year={1990}, volume={199}, pages={84-122} }

## 153 Citations

Quiescent Cosmological Singularities

- Mathematics
- 2001

Abstract: The most detailed existing proposal for the structure of spacetime singularities originates in the work of Belinskii, Khalatnikov and Lifshitz. We show rigorously the correctness of this…

Dynamics of self-gravitating fluids in Gowdy-symmetric spacetimes near cosmological singularities

- Physics, Mathematics
- 2015

We consider self-gravitating fluids in cosmological spacetimes with Gowdy symmetry on the 3-torus and, in this set-up, we solve the singular initial value problem for the Einstein-Euler equations,…

Second-order hyperbolic Fuchsian systems: Asymptotic behavior of geodesics in Gowdy spacetimes

- Mathematics, Physics
- 2011

Recent work by the authors led to the development of a mathematical theory dealing with 'second-order hyperbolic Fuchsian systems', as we call them. In the present paper, we adopt a physical…

Self–gravitating fluid flows with Gowdy symmetry near cosmological singularities

- Physics, Mathematics
- 2015

ABSTRACT We consider self-gravitating fluids in cosmological spacetimes with Gowdy symmetry on the torus T3 and, in this class, we solve the singular initial value problem for the Einstein–Euler…

Ja n 20 00 QUIESCENT COSMOLOGICAL SINGULARITIES

- Mathematics
- 2004

The most detailed existing proposal for the structure of spacetime singularities originates in the work of Belinskii, Khalatnikov and Lifshitz. We show rigorously the correctness of this proposal in…

Existence of an asymptotic velocity and implications for the asymptotic behavior in the direction of the singularity in T3‐Gowdy

- Mathematics
- 2006

This is the first of two papers that together prove strong cosmic censorship in T3‐Gowdy space‐times. In the end, we prove that there is a set of initial data, open with respect to the C2 × C1…

A Global Foliation of Einstein–Euler Spacetimes with Gowdy-Symmetry on T3

- Mathematics, Physics
- 2011

We investigate the initial value problem for the Einstein–Euler equations of general relativity under the assumption of Gowdy symmetry on T3, and we construct matter spacetimes with low regularity.…

Asymptotic expansions close to the singularity in Gowdy spacetimes

- Mathematics
- 2003

We consider Gowdy spacetimes under the assumption that the spatial hypersurfaces are diffeomorphic to the torus. The relevant equations are then wave map equations with the hyperbolic space as a…

Asymptotics and singularities in cosmological models with positive cosmological constant

- Mathematics, Physics
- 2007

This thesis is concerned with global properties of those cosmological solutions of Einstein's field equations which obey accelerated expansion into the future driven by a non-vanishing cosmological…

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