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

Bimetric variational formalism was recently employed to construct novelbimetric gravity models. In these models an affine connection is generated byan additional tensor field which is independent of the physical metric. In thiswork we demonstrate how the ADM decomposition can be applied to study suchmodels and provide some technical intermediate details. Using ADM decompositionwe are able to prove that a linear model is unstable as has previously beenindicated by perturbative analysis. Moreover, we show that it is also verydifficult if not impossible to construct a non-linear model which is ghost-freewithin the framework of bimetric variational formalism. However, we demonstratethat viable models are possible along similar lines of thought. To this end, weconsider a set up in which the affine connection is a variation of theLevi-Civita one. As a proof of principle we construct a gravity model with amassless scalar field obtained this way.

ADM Analysis of Gravity Models within the Framework of Bimetric Variational Formalism