Negative Mass Solitons in Gravity

TL;DR

This paper calculates conserved charges for various gravity solutions in higher dimensions, revealing the existence of negative mass solitons in asymptotically (Anti)-de Sitter spaces, expanding understanding of gravitational solitons.

Contribution

It reconstructs Abbott-Deser charges in the spin connection formalism and computes masses of higher-dimensional AdS and Eguchi-Hanson solitons, including cases beyond five dimensions.

Findings

Found negative masses for certain AdS solitons.

Extended mass calculations to higher odd dimensions.

Computed masses for even-dimensional Taub-NUT-Reissner-Nordstrom metrics.

Abstract

We first reconstruct the conserved (Abbott-Deser) charges in the spin connection formalism of gravity for asymptotically (Anti)-de Sitter spaces, and then compute the masses of the AdS soliton and the recently found Eguchi-Hanson solitons in generic odd dimensions, unlike the previous result obtained for only five dimensions. These solutions have negative masses compared to the global AdS or AdS/Z_p spacetimes. As a separate note, we also compute the masses of the recent even dimensional Taub-NUT-Reissner-Nordstrom metrics.