On Asymptotically Locally Hyperbolic Metrics with Negative Mass

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.

arXiv admin note: text overlap with arXiv:2112.00095

References in corpus (1)

• Energy in higher-dimensional spacetimes

Cited by in corpus (1)

• Positivity of holographic energy