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 consider the nondynamical Chern-Simons (CS) modification to GeneralRelativity (GR) in the framework of the Einstein-Cartan formulation, asproviding a way to incorporate a slowly rotating Kerr black hole in the spaceof solutions. Our proposal lies on considering the CS term as a source oftorsion and on an iterative procedure to look for vacuum solutions of thesystem, by expanding the tetrad, the connection and the embedding parameter, inpowers of a dimensionless small parameter $\beta$ which codifies the CScoupling. Starting from a torsionless zeroth-order vacuum solution we derivethe second-order differential equation for the $\mathcal{O}(\beta)$ correctionsto the metric, for an arbitrary embedding parameter. Furthermore we can showthat the slowly rotating Kerr metric is an $\mathcal{O}(\beta)$ solution of thesystem either in the canonical or the axial embeddings.

Slowly rotating Kerr black hole as a solution of Einstein-Cartan gravity extended by a Chern-Simons term