Parity violating metric-affine gravity theories
نویسندگان
چکیده
Abstract We study a metric-affine gravitational theory given by the Einstein–Hilbert (EH) action plus parity violating contribution (which we will refer to as Hojman term, also known Holst term) in vacuum. find out that for certain value of Barbero–Immirzi (BI) parameter total possesses remarkable invariance under particular transformations affine connection. prove all cases, with appropriate gauge choices, connection reduces Levi-Civita one and turns be equivalent general relativity (GR) Subsequently, generalize our discussion analyze case f ( R ) gravity term. In particular, show ?( ? constant results on-shell metric-compatible torsionless scalar–tensor model propagating pseudo-scalar. Matter coupling aforementioned models is discussed, together explicit examples applications.
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2021
ISSN: ['1361-6382', '0264-9381']
DOI: https://doi.org/10.1088/1361-6382/abde1a