Gravitational Chern–Simons, and Chern–Simons Gravity in All Dimensions View Full Text


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Article Info

DATE

2020-09

AUTHORS

Eugen Radu, D. H. Tchrakian

ABSTRACT

The construction of Chern–Simons gravities (CSG) and gravitational Chern–Simons densities (GCS) are considered. Since both these are definied \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$via$$\end{document} the non-Abelian (nA) Chern–Simons densities (CS) in the appropriate representations, and the latter are defined only in odd dimensions, so are the CSG and the GCS. To overcome this restriction, it is proposed that instead of employing nA CS densities, the Higgs–CS (HCS) densities are employed, the latter being defined in all dimensions and hence leading to their gravitational counterparts, HCS-Gravity (HCSG) Lagrangians and gravitational-HCS (GHCS) densities, not all of them restricted to odd dimensions. A detailed definition for a GHCS density in 3 + 1 dimensions is presented, and, a new result in black hole solutions in CSG gravity models in all odd dimensions is presented. More... »

PAGES

753-759

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s1547477120050301

DOI

http://dx.doi.org/10.1134/s1547477120050301

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1131501404


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