The Cosmology of Quadratic Torsionful Gravity

Iosifidis, Damianos; Ravera, Lucrezia

doi:10.48550/arxiv.2101.10339

Cited by 4 publications

(5 citation statements)

References 27 publications

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“…See, e.g.,[90,91] for a recent review on non-Riemannian structures and applications in (super)gravity. Besides, we refer the reader to, e.g.,[92][93][94][95][96] for further implications of a non-vanishing torsion and non-Riemannian structures in gravity and supergravity theories.…”

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confidence: 99%

Three-dimensional non-relativistic supergravity and torsion

2022

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In this paper we present a torsional non-relativi-stic Chern–Simons (super)gravity theory in three spacetime dimensions. We start by developing the non-relativistic limit of the purely bosonic relativistic teleparallel Chern–Simons formulation of gravity. On-shell the latter yields a non-Riemannian setup with non-vanishing torsion, which, at non-relativistic level, translates into a non-vanishing spatial torsion sourced by the cosmological constant. Then we consider the three-dimensional relativistic $${\mathcal {N}}=2$$ N = 2 teleparallel Chern–Simons supergravity theory and obtain its non-relativistic counterpart by exploiting a Lie algebra expansion method. The non-relativistic supergravity theory is characterized, on-shell, by a non-vanishing spatial super-torsion, again sourced by the cosmological constant.

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confidence: 99%

Three-dimensional non-relativistic supergravity and torsion

2022

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“…It would be worth it to further elaborate on cosmological applications of MAMG theories, especially in the presence of a cosmological hyperfluid [41,42] (see also [43]). Possible future developments may also regard the inclusion of parity violating terms in MAMG, in particular of the so-called Hojman term [44] (most of the time referred to as the Holst term [45]), following the lines of [46].…”

Section: Discussionmentioning

confidence: 99%

Metric-Affine Myrzakulov Gravity Theories

Myrzakulov,

Ravera

2021

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In this paper we review the Myrzakulov Gravity models (MG-N, with N = I, II, . . . , VIII) and derive their respective metric-affine generalizations (MAMG-N), discussing also their particular sub-cases. The field equations of the theories are obtained by regarding the metric tensor and the general affine connection as independent variables. We then focus on the case in which the function characterizing the aforementioned metric-affine models is linear and consider a Friedmann-Lemaître-Robertson-Walker background to study cosmological aspects and applications.

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“…More precisely, in [44] a quadratic theory involving also a piece quadratic in the so-called homothetic curvature tensor was studied, while in [45] only contributions quadratic in the torsion tensor were taken into account. In the cosmological context, in [48] the cosmology of a quadratic metric-compatible torsionful gravity theory in the presence of a perfect hyperfluid was presented and analyzed for the first time. The current work also provides a generalization of the results presented in [48] to the case in which both torsion and non-metricity are non-vanishing.…”

Section: Introductionmentioning

confidence: 99%

“…In the cosmological context, in [48] the cosmology of a quadratic metric-compatible torsionful gravity theory in the presence of a perfect hyperfluid was presented and analyzed for the first time. The current work also provides a generalization of the results presented in [48] to the case in which both torsion and non-metricity are non-vanishing.…”

Section: Introductionmentioning

confidence: 99%

Cosmology of Quadratic Metric-Affine Gravity

Iosifidis,

Ravera

2021

Preprint

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We investigate the cosmological aspects of the most general parity preserving Metric-Affine Gravity theory quadratic in torsion and non-metricity in the presence of a cosmological hyperfluid. The equations of motion are obtained by varying the action with respect to the metric and the independent affine connection. Subsequently, considering a Friedmann-Lemaître-Robertson-Walker background, we derive the most general form of the modified Friedmann equations for the full quadratic theory. We then focus on a characteristic sub-case involving only two quadratic contributions given in terms of torsion and non-metricity vectors. In this setup, studying the modified Friedmann equations along with the conservation laws of the perfect cosmological hyperfluid, we provide exact solutions both for purely dilation and for purely spin hypermomentum sources. We then discuss the physical consequences of our model and the prominent role of torsion and non-metricity in this cosmological setup.

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The Cosmology of Quadratic Torsionful Gravity

Cited by 4 publications

References 27 publications

Three-dimensional non-relativistic supergravity and torsion

Three-dimensional non-relativistic supergravity and torsion

Metric-Affine Myrzakulov Gravity Theories

Cosmology of Quadratic Metric-Affine Gravity

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