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Chern–Simons extension of ESK theory

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Abstract

The commonly-known Chern–Simons extension of Einstein gravitational theory is written in terms of a square-curvature term added to the linear-curvature Hilbert Lagrangian. In a recent paper, we constructed two Chern–Simons extensions according to whether they consisted of a square-curvature term added to the square-curvature Stelle Lagrangian or of one linear-curvature term added to the linear-curvature Hilbert Lagrangian (Fabbri in Gen Relativ Gravit 52:96, 2020). The former extension gives rise to the topological extension of the re-normalizable gravity, the latter extension gives rise to the topological extension of the least-order gravity. This last theory will be written here in its torsional completion. Then a consequence for cosmology and particle physics will be addressed.

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  1. DIME, Sez. Metodi e Modelli Matematici, Università di Genova, Via all’Opera Pia 15, 16145, Genova, Italy

    Luca Fabbri

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  1. Luca Fabbri
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Correspondence to Luca Fabbri.

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Fabbri, L. Chern–Simons extension of ESK theory. Gen Relativ Gravit 53, 33 (2021). https://doi.org/10.1007/s10714-021-02805-3

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