Recent results in mathematical relativity

Details Recent results in mathematical relativity Recent results in mathematical relativity

2004-10-31

arxiv.org/abs/gr-qc/0411008v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, to appear in the proceedings of GRG17, Dublin

Scientific paper

We review selected recent results concerning the global structure of solutions of the vacuum Einstein equations. The topics covered include quasi-local mass, strong cosmic censorship, non-linear stability, new constructions of solutions of the constraint equations, improved understanding of asymptotic properties of the solutions, existence of solutions with low regularity, and construction of initial data with trapped surfaces or apparent horizons. This is an expanded version of a plenary lecture, sponsored by Classical and Quantum Gravity, held at the GR17 conference in Dublin in July 2004.

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