Multiple Killing Horizons: the initial value formulation for $\Lambda$-vacuum
Abstract
In Class. Quantum Grav. 35 (2018) 155015 we have introduced the notion of "Multiple Killing Horizon" and analyzed some of its general properties. Multiple Killing Horizons are Killing horizons for two or more linearly independent Killing vectors simultaneously. In this paper we focus on the vacuum case, possibly with cosmological constant, and study the emergence of Multiple Killing Horizons in terms of characteristic initial value problems for two transversally intersecting null hypersurfaces. As a relevant outcome, a more general definition of Near Horizon Geometry is put forward. This new definition avoids the use of Gaussian null coordinates associated to the corresponding degenerate Killing vector and thereby allows for inclusion of its fixed points.
Keywords
Cite
@article{arxiv.1905.10645,
title = {Multiple Killing Horizons: the initial value formulation for $\Lambda$-vacuum},
author = {Marc Mars and Tim-Torben Paetz and José M. M. Senovilla},
journal= {arXiv preprint arXiv:1905.10645},
year = {2020}
}
Comments
43 pages