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/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

In this paper we study the possibility of assigning a geometric structure tothe Lie groups. It is shown the Poincar\'{e} and Weyl groups have geometricalstructure of the Riemann-Cartan and Weyl space-time respectively. The geometricapproach to these groups can be carried out by considering the most general(non)metricity conditions, or equivalently, tetrad postulates which we showthat can be written in terms of the group's gauge fields. By focusing on theconformal group we apply this procedure to show that a nontrivial 3-metricsgeometry may be extracted from the group's Maurer-Cartan structure equations.We systematically obtain the general characteristics of this geometry, i.e. itsmost general nonmetricity conditions, tetrad postulates and its connections. Wethen deal with the gravitational theory associated to the conformal group'sgeometry. By proposing an Einstein-Hilbert type action, we conclude that theresulting gravity theory has the form of quintessence where the scalar fieldderivatively coupled to massive gravity building blocks.

SO(4; 2) and derivatively coupled dRGT massive gravity