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Parity Violating Metric-Affine Gravity Theories

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arxiv 2009.03328 v1 pith:YRH6TC23 submitted 2020-09-07 gr-qc hep-thmath-phmath.MP

Damianos Iosifidis , Lucrezia Ravera This is my paper · ORCID
classification gr-qchep-thmath-phmath.MP
keywords metric-affinetheoryactionconnectionequivalentgravityholstparity
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abstract

We study a parity violating Metric-Affine gravitational theory given by the Einstein-Hilbert action plus the so-called Holst term in vacuum. We find out that for a certain value of the Barbero-Immirzi parameter the total action possesses a remarkable invariance under particular transformations of the affine connection. We prove that in all cases, with appropriate gauge choices, the connection reduces to the Levi-Civita one and that the theory turns out to be equivalent to general relativity in vacuum. Subsequently, we generalize our discussion and analyze the case of Metric-Affine $f(R)$ gravity plus the Holst term. In particular, we show that for $f'(R) \neq \text{constant}$ the theory results to be on-shell equivalent to a metric-compatible torsionless Scalar-Tensor model. Matter coupling of the aforementioned models is also discussed, together with explicit examples and applications.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Parity-violating spatially covariant gravity at total derivative order $d=5$

    gr-qc 2026-07 conditional novelty 6.0 of 10

    At total derivative order five, parity-violating spatially covariant gravity has exactly 59 independent monomials, and their tensor-perturbation response is controlled by four coefficient combinations producing helici...

  2. Degrees of freedom of a quadratic scalar-nonmetricity theory

    gr-qc 2025-12 conditional novelty 6.0 of 10

    In quadratic scalar-nonmetricity gravity, Hamiltonian analysis shows 10, 8, and 8 degrees of freedom for cases II, V, and VI, while linear cosmological perturbation theory sees only 10, 6, and 5, indicating hidden str...

  3. Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models

    gr-qc 2025-12 conditional novelty 5.0 of 10

    Adding cubic Holst-invariant terms to F(R,R̃) Einstein-Cartan inflation models systematically lowers the predicted spectral index n_s and tensor-to-scalar ratio r, restoring data compatibility in parameter regions whe...

  4. Symmetry-breaking inflation in non-minimal metric-affine gravity

    gr-qc 2024-12 conditional novelty 5.0 of 10

    A Holst-invariant coupling to the inflaton makes symmetry-breaking inflation viable, including the previously unattainable sub-Planckian vacuum expectation value case.

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