Remarks on evolution of space-times in 3+1 and 4+1 dimensions

Details Remarks on evolution of space-times in 3+1 and 4+1 dimensions Remarks on evolution of space-times in 3+1 and 4+1 dimensions

2001-06-20

arxiv.org/abs/gr-qc/0106061v3

Class.Quant.Grav. 18 (2001) 5199-5210

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10pp, exposition improved; final version

Scientific paper

10.1088/0264-9381/18/23/313

A large class of vacuum space-times is constructed in dimension 4+1 from hyperboloidal initial data sets which are not small perturbations of empty space data. These space-times are future geodesically complete, smooth up to their future null infinity, and extend as vacuum space-times through their Cauchy horizon. Dimensional reduction gives non-vacuum space-times with the same properties in 3+1 dimensions.

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