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

Author(s)
Piotr T. Chrusciel, Luc Nguyen
Abstract

We present a generalization 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 and connected axisymmetric black hole data sets in terms of the mass of a reference Schwarzschild metric.

Organisation(s)
Gravitational Physics
External organisation(s)
Princeton University
Journal
Classical and Quantum Gravity
Volume
28
No. of pages
19
ISSN
0264-9381
DOI
https://doi.org/10.1088/0264-9381/28/12/125001
Publication date
2011
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics, 103028 Theory of relativity, 103019 Mathematical physics
Portal url
https://ucris.univie.ac.at/portal/en/publications/a-lower-bound-for-the-mass-of-axisymmetric-connected-black-hole-data-sets(4f679e54-f22e-4675-965b-e6361cfa04d1).html