# Chern–Simons Gravities (CSG) and Gravitational Chern–Simons (GCS) Densities in All Dimensions

@article{Tchrakian2017ChernSimonsG, title={Chern–Simons Gravities (CSG) and Gravitational Chern–Simons (GCS) Densities in All Dimensions}, author={D. H. Tchrakian}, journal={Physics of Atomic Nuclei}, year={2017}, volume={81}, pages={930-938} }

Chern–Simons gravities and gravitational Chern–Simons densities are constructed using the non-Abelian Yang–Mills Chern–Simons densities. As such, they are defined only in odd dimensions. We propose instead an analogous construction employing what we term Higgs–Chern–Simons (HCS) densities, which are defined in all dimensions. This enables the definition of extended versions of Chern–Simons gravities in all dimensions. Employing the same prescription, the definition of gravitational Chern–Simons…

## 7 Citations

### A Higgs–Chern–Simons gravity model in 2 + 1 dimensions

- PhysicsClassical and Quantum Gravity
- 2018

We study a gravity model in 2 + 1 dimensions, arising from a generalized Chern–Simons (CS) density we call a Higgs–Chern–Simons (HCS) density. This generalizes the construction of gravitational…

### Higgs-Chern-Simons Gravity Models in d = 2n + 1 Dimensions

- PhysicsSymmetry
- 2020

We consider a family of new Higgs–Chern–Simons (HCS) gravity models in 2n+1 dimensions (n=1,2,3). This provides a generalization of the (usual) gravitational Chern–Simons (CS) gravities resulting…

### A remark on black holes of Chern–Simons gravities in 2n + 1 dimensions: n = 1,2,3

- MathematicsInternational Journal of Modern Physics A
- 2020

A systematic prescription for constructing Chern–Simons gravities in all odd dimensions is given, and it is shown that Chern–Simons gravities in [Formula: see text] dimensions admit solutions…

### Embedding Gauss-Bonnet Scalarization Models in Higher Dimensional Topological Theories

- PhysicsSymmetry
- 2021

It is pointed out that families of such functions naturally emerge in the context of Higgs–Chern–Simons gravity models, which are found as dimensionally descents of higher dimensional, purely topological, Chern–Pontryagin non-Abelian densities.

### Gravitational Chern–Simons, and Chern–Simons Gravity in All Dimensions

- Materials SciencePhysics of Particles and Nuclei Letters
- 2020

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}…

### Interactions in MacDowell-Mansouri Gravitation

- Physics
- 2019

In this bachelor thesis, possible kinetic terms and couplings of standard fields in MacDowell-Mansouri-Stelle-West gravity are studied with some aspects of group theory in mind. Possible obstructions…

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