Metrics of Horowitz-Myers type with the negative constant scalar curvature

TL;DR

This paper constructs a new family of complete metrics with negative constant scalar curvature of Horowitz-Myers type and confirms a related positive energy conjecture.

Contribution

It introduces a one-parameter family of such metrics and verifies a key conjecture in the field.

Findings

Construction of a one-parameter family of metrics

Verification of the positive energy conjecture

Extension of Horowitz-Myers metrics to negative scalar curvature

Abstract

We construct a one-parameter family of complete metrics of Horowitz-Myers type with the negative constant scalar curvature. We also verify a positive energy conjecture of Horowitz-Myers for these metrics.