Negative mass solitons in gravity

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-Nordström metrics.

Mass and thermodynamics of Kaluza–Klein black holes with squashed horizons

“…These conserved charges are associated with the isometries of the asymptotic geometry which is supposed to be the vacuum of the system. In [12] (see also [13]), the authors have generalized the construction of Abbott-Deser to the realm of gauged supergravity theory 4 , and here we will follow their notations. The metric g µν of the space-times can be decomposed as…”

Linearized gravity in terms of differential forms

“…In this paper we have considered only the flat background and in a physically important direction of development, one can tackle the technical details of the linearization around an arbitrary curved background [14,15,16,54,55,56]. The extension of the linearization technique above is essential in the linearization of modified gravitational models involving, for example, the general quadratic curvature gravity which admits maximally symmetric vacuum solutions.…”

More on Cotton flow

“…With these definitions, the first order form of the Cotton flow (which was employed in [13]) to discuss the flow of homogeneous quantities reads 18) where * denotes the Hodge dual. Assumingē a satisfies 19) following the notation of [23], let us expand around the critical point of the flow as …”