Mass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of mass

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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33 pages in A4

Scientific paper

10.1016/j.aop.2007.12.010

We extend the validity of Brill's axisymmetric positive energy theorem to all
asymptotically flat initial data sets with positive scalar curvature on simply
connected manifolds.

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