English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present a general solution-generating result within the bidifferentialcalculus approach to integrable partial differential and difference equations,based on a binary Darboux-type transformation. This is then applied to thenon-autonomous chiral model, a certain reduction of which is known to appear inthe case of the D-dimensional vacuum Einstein equations with D-2 commutingKilling vector fields. A large class of exact solutions is obtained, and theaforementioned reduction is implemented. This results in an alternative to thewell-known Belinski-Zakharov formalism. We recover relevant examples ofspace-times in dimensions four (Kerr-NUT, Tomimatsu-Sato) and five (single anddouble Myers-Perry black holes, black saturn, bicycling black rings).

Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations