Year: 2015
Type: article
Abstract: We present a new five-parameter class of Ricci-flat solutions in four dimensions with a Euclidean signature. The solution is asymptotically locally flat (ALF) and contains a finite asymptotic Newman-Unti-Tamburino (NUT) charge. When this charge is sent to infinity, the solution becomes asymptotically locally Euclidean, and one in fact obtains the Ricci-flat Pleba\ifmmode \acute{n}\else \'{n}\fi{}ski-Demia\ifmmode \acute{n}\else \'{n}\fi{}ski solution. The solution we have found can thus be regarded as an ALF generalization of the latter solution. We also show that it can be interpreted as a system consisting of two touching Kerr-NUTs: the south pole of one Kerr-NUT touches the north pole of the other. The total NUT charge of such a system is then identified with the asymptotic NUT charge. Setting the asymptotic NUT charge to zero gives a four-parameter asymptotically flat (AF) solution, and contained within this subclass is the completely regular two-parameter AF instanton previously discovered by the present authors. Various other limits are also discussed, including that of the triple-collinearly-centered Gibbons-Hawking solution, and an ALF generalization of the $C$-metric.
Authors: Yu Chen, Edward Teo
Institution: National University of Singapore
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: National University of Singapore
OpenAlex ID: W1714294347