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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We introduce a definition of symmetry generating vector fields on manifoldswhich are equipped with a first-order reductive Cartan geometry. We apply thisdefinition to a number of physically motivated examples and show that our newlyintroduced notion of symmetry agrees with the usual notions of symmetry ofaffine, Riemann-Cartan, Riemannian and Weizenb\"ock geometries, which areconventionally used as spacetime models. Further, we discuss the case of Cartangeometries which can be used to model observer space instead of spacetime. Weshow which vector fields on an observer space can be interpreted as symmetrygenerators of an underlying spacetime manifold, and may hence be called"spatio-temporal". We finally apply this construction to Finsler spacetimes andshow that symmetry generating vector fields on a Finsler spacetime are indeedin a one-to-one correspondence with spatio-temporal vector fields on itsobserver space.

Spacetime and observer space symmetries in the language of Cartan geometry