On parity-odd sector in metric-affine theories

Autor:	Jose Beltrán Jiménez, Alejandro Jiménez-Cano, Yuri N. Obukhov
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Physics and Astronomy (miscellaneous) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Engineering (miscellaneous) General Relativity and Quantum Cosmology
Zdroj:	European Physical Journal
Popis:	We undertake the construction of quadratic parity-violating terms involving the curvature in the four-dimensional metric-affine gravity. We demonstrate that there are only 12 linearly independent scalars, plus an additional one that can be removed by using the Pontryagin invariant. Several convenient bases for this sector are provided in both components and differential form notation. We also particularize our general findings to some constrained geometries like Weyl-Cartan and metric-compatible connections. 12 pages, no figures, no tables. Added: small changes and some references. Version to be published in EPJC
Databáze:	OpenAIRE
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