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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We analytically derive the covariant form of the Riemann (curvature) tensorfor homogeneous Metric-Affine Cosmologies. That is, we present, in aCosmological setting, the most general covariant form of the full Riemanntensor including also its non-Riemannian pieces which are associated tospacetime torsion and non-metricity. Having done so we also compute a list ofthe curvature tensor by-products such as Ricci tensor, homothetic curvature,Ricci scalar, Einstein tensor etc. Finally we derive the generalizedMetric-Affine version of the usual Gauss-Bonnet density in this background anddemonstrate how under certain circumstances the latter represents a totalderivative term.

Riemann Tensor and Gauss-Bonnet density in Metric-Affine Cosmology