Higgs inflation with the Holst and the Nieh–Yan term

Långvik, Miklos; Ojanperä, Juha-Matti; Raatikainen, Sami; Räsänen, Syksy

doi:10.1103/physrevd.103.083514

Cited by 56 publications

(63 citation statements)

References 183 publications

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“…It would be worth to extend our analysis to the case in which the BI parameter is promoted to a field [work in progress], on the same lines of [38][39][40][41], considering separately the addition of the Holst and of the Nieh-Yan terms in this case. Indeed, the Nieh-Yan term, which is included into the Holst one, has been proved to provide many remarkable applications, among which the ones discussed in [42][43][44] and also [45]. Furthermore, applications to the cosmological perfect hyperfluid of [28] deserve to be analyzed and discussed.…”

Section: Discussionmentioning

confidence: 99%

Parity Violating Metric-Affine Gravity Theories

Iosifidis,

Ravera

2020

Preprint

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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) = 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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Section: Discussionmentioning

confidence: 99%

Parity Violating Metric-Affine Gravity Theories

Iosifidis,

Ravera

2020

Preprint

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“…Recent works [31][32][33] have extended the metric and Palatini versions of HI to Einstein-Cartan (EC) gravity [34,35]. As compared to the Palatini case, the connection in EC gravity, while still independent of the metric, is no longer symmetric with respect to the exchange of lower indices, giving rise to a non-vanishing torsion contribution T ρ νσ = Γ ρ νσ − Γ ρ σν , with T ρ νσ the torsion tensor.…”

Section: Introductionmentioning

confidence: 99%

“…On top of that, since the torsion is sourced by the fermions in the SM and beyond, these species can contribute to the dynamics of the theory through non-minimal kinetic terms [36][37][38][39]. All in all, EC Higgs Inflation displays a far richer inflationary phenomenology than the metric and Palatini counterparts, while incorporating these scenarios as limiting cases [31,32]. Besides that, EC gravity can be seen as the gauge theory of the Poincaré group [34], establishing an appealing parallelism between gravity and the other elementary forces in Nature.…”

Section: Introductionmentioning

confidence: 99%

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Higgs-Dilaton Inflation in Einstein-Cartan gravity

Piani,

Rubio

2022

Preprint

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We study the phenomenology of the Higgs-Dilaton model in the context of Einstein-Cartan gravity, focusing on the separate impact of the Holst and Nieh-Yan terms on the inflationary observables. Using analytical and numerical techniques, we show the predictions of these scenarios to display an attractor-like behaviour intrinsically related to the curvature of the field-space manifold in the metric formulation of the theory. Beyond that, the analysis of the Nieh-Yan case reveals the existence of an additional attractor solution induced by a cubic pole in the inflaton kinetic term that becomes relevant at large dilaton couplings. This constitutes a unique feature of the Einstein-Cartan formulation as compared to the metric and Palatini counterparts.

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“…It is worth noting here that the role of torsion in the gravitational response of materials is already implicit in Luttinger's study of thermal transport coefficients [17] (see also [18] for further developments regarding torsion in condensed matter systems). On the other hand, the Nieh-Yan term has found numerous applications in recent years, for instance in modified Einstein-Cartan [19] or teleparallel gravity [20] and in cosmological scenarios [21,22] and moreover it is directly related to the Holst term that has played a pivotal role in loop quantum gravity [23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Axion gravitodynamics, Lense-Thirring effect, and gravitational waves

Chatzistavrakidis,

Karagiannis,

Manolakos

et al. 2021

Preprint

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We investigate physical implications of a gravitational analog of axion electrodynamics with a parity violating gravitoelectromagnetic theta term. This is related to the Nieh-Yan topological invariant in gravity with torsion, in contrast to the well-studied gravitational Chern-Simons term quadratic in curvature, coupled via a dynamical axion-like scalar field. Axion gravitodynamics is the corresponding linearized theory. We find that potentially observable effects are of over 80 orders of magnitude stronger than for its Chern-Simons counterpart and could thus be in reach for detection by experiments in the near future. For a near-earth scenario, we derive corrections to the Lense-Thirring geodetic effect and compare them to data from satellite-based experiments (Gravity Probe B). For gravitational waves we find modified dispersion relations, derive the corresponding polarizationdependent modified group and phase velocities and compare them to data from neutron star mergers (GW170817) to derive even stronger bounds.

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Higgs inflation with the Holst and the Nieh–Yan term

Cited by 56 publications

References 183 publications

Parity Violating Metric-Affine Gravity Theories

Parity Violating Metric-Affine Gravity Theories

Higgs-Dilaton Inflation in Einstein-Cartan gravity

Axion gravitodynamics, Lense-Thirring effect, and gravitational waves

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