Corpus ID: 219179329

The initial boundary value problem for the Einstein equations with totally geodesic timelike boundary

@article{Fournodavlos2020TheIB,
  title={The initial boundary value problem for the Einstein equations with totally geodesic timelike boundary},
  author={G. Fournodavlos and Jacques Smulevici},
  journal={arXiv: Analysis of PDEs},
  year={2020}
}
We prove the well-posedness of the initial boundary value problem for the Einstein equations with sole boundary condition the requirement that the timelike boundary is totally geodesic. This provides the first well-posedness result for this specific geometric boundary condition and the first setting for which geometric uniqueness in the original sense of Friedrich holds for the initial boundary value problem. Our proof relies on the ADM system for the Einstein vacuum equations, formulated with… Expand

Figures from this paper

The initial boundary value problem in General Relativity: the umbilic case

References

SHOWING 1-10 OF 23 REFERENCES
The Initial Boundary Value Problem for Einstein's Vacuum Field Equation
Einstein equations and conformal structure: Existence of Anti-de Sitter-type space-times
Asymptotically Kasner-like singularities
On the initial boundary value problem for the vacuum Einstein equations and geometric uniqueness
Lorentzian Einstein metrics with prescribed conformal infinity
Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations
...
1
2
3
...