On Asymptotically Locally Hyperbolic Metrics with Negative Mass
High Energy Physics - Theory
2023-07-25 v2 General Relativity and Quantum Cosmology
Differential Geometry
Abstract
We construct families of asymptotically locally hyperbolic Riemannian metrics with constant scalar curvature (i.e., time symmetric vacuum general relativistic initial data sets with negative cosmological constant), with prescribed topology of apparent horizons and of the conformal boundary at infinity, and with controlled mass. In particular we obtain new classes of solutions with negative mass.
Keywords
Cite
@article{arxiv.2207.14563,
title = {On Asymptotically Locally Hyperbolic Metrics with Negative Mass},
author = {Piotr T. Chruściel and Erwann Delay},
journal= {arXiv preprint arXiv:2207.14563},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2112.00095