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Journal Article

Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant

MPS-Authors

Kannar,  Janos
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Kannar, J. (1996). Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant. Classical and Quantum Gravity, 13(11), 3075-3084.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5B11-E
Abstract
The existence of smooth hyperboloidal initial data sets for the vacuum Einstein equations with non-zero cosmological constant is studied. Supposing that the trace of the (physical) second fundamental form of the initial hypersurface is constant, there is a correspondence between the solutions of the vacuum constraints with and without cosmological constant, respectively. This enables us to extend the results proved by Andersson and Chrusciel about the smoothness of the initial data with zero cosmological constant to the case .