$f(R)$ gravity with Torsion and the Immirzi field: signature for GW detection

Abstract

We propose a Nieh-Yan extension of f (R) models in the presence of Immirzi field and the resulting theory is studied in the context of first order formalism. We claim as in our model the ambiguities related to the Palatini vacuum case are solved, allowing us to extend the range of applicability of the method proposed in [4] to a wider class of f (R) theories. In particular we analyze within such a theoretical framework the propagation of gravitational waves in vacuum and outline as a dynamical Immirzi field could be regarded as a propagating torsion field with non-trivial and detectable effects on standard gravitational polarizations.

8 pages, 4 figures; v2 comments added, references update

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• Parity Violating Metric-Affine Gravity Theories
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
• Luminal Propagation of Gravitational Waves in Scalar-tensor Theories: The Case for Torsion
• Generalized Ashtekar variables for Palatini f(R) models
• Super-entropic black hole with Immirzi hair
• Implications of the Holst term in a $f(R)$ theory with torsion
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Does the metric play a fundamental role in the building of gravitational models?