A lower bound for the mass of axisymmetric connected black hole data sets

Piotr T Chruciel (1) , Luc Nguyen (2)

1 Gravitational Physics [Vienna]
2 Department of Mathematics

We present a generalisation of the Brill-type proof of positivity of mass for axisymmetric initial data to initial data sets with black hole boundaries. The argument leads to a strictly positive lower bound for the mass of simply connected, connected axisymmetric black hole data sets in terms of the mass of a reference Schwarzschild metric.

Mots clés: Physical Sciences

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Piotr T Chruciel, Luc Nguyen. A lower bound for the mass of axisymmetric connected black hole data sets. Classical and Quantum Gravity, 2011, 28 (12), pp.125001. ⟨10.1088/0264-9381/28/12/125001⟩. ⟨hal-00710463⟩