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

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

2011-02-06

arxiv.org/abs/1102.1175v1

Class.Quant.Grav.28:125001,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/28/12/125001

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.

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