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 derive a mass formula and a mass variation law for asymptotically flat,stationary spacetimes, invariant under two commuting rotational symmetries, ina general five dimensional theory of gravity coupled to an arbitrary set ofMaxwell fields and uncharged scalar fields. If the spacetime is everywhereregular, these mass formulas reduce to a sum of magnetic flux terms defined onits non-trivial 2-cycles. If there is a black hole, we obtain a mass variationlaw more general than previously obtained, which also has contributions fromthe 2-cycles exterior to the black hole. This can be interpreted as the firstlaw of black hole mechanics in a background soliton containing bubbles.

The first law of soliton and black hole mechanics in five dimensions