Mimetic Einstein-Cartan-Sciama-Kibble (ECSK) gravity

Izaurieta, Fernando; Medina, Perla; Merino, Nelson; Salgado, P.; Valdivia, Omar

doi:10.1007/jhep10(2020)150

Cited by 12 publications

(4 citation statements)

References 136 publications

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“…We find a very similar expression, as well as the interpolating cases in Ref. [33], though the authors did not gauge the Weyl group, thus their results can be obtained from ours using the pure gauge limit of the Weyl potential (S µ is a total derivative).…”

Section: Anholonomic Splittingsupporting

confidence: 83%

The origin of Weyl gauging in metric-affine theories

Sauro,

Zanusso

2022

Preprint

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In the first part, we discuss the interplay between local scale invariance and metric-affine degrees of freedom from few distinct points of view. We argue, rather generally, that the gauging of Weyl symmetry is a natural byproduct of requiring that scale invariance is a symmetry of a gravitational theory that is based on a metric and on an independent affine structure degrees of freedom. In the second part, we compute the Nöther identities associated with all the gauge symmetries, including Weyl, Lorentz and diffeomorphisms invariances, for general actions with matter degrees of freedom, exploiting a gauge covariant generalization of the Lie derivative. We find two equivalent ways to approach the problem, based on how we regard the spin-connection degrees of freedom, either as an independent object or as the sum of two Weyl invariant terms. The latter approach, which rests upon the use of a new connection, denoted ∇, is particularly convenient and constitutes one of our main results.

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Section: Anholonomic Splittingsupporting

confidence: 83%

The origin of Weyl gauging in metric-affine theories

Sauro,

Zanusso

2022

Preprint

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“…We have that Ωa b is Weyl invariant, likewise Kμ νρ , as expected. We find a very similar expression, as well as the interpolating cases in reference [43], though the authors did not gauge the Weyl group, thus their results can be obtained from ours using the pure gauge limit of the Weyl potential (S μ is a total derivative).…”

Section: Anholonomic Splittingsupporting

confidence: 81%

“…which vanishes for w e = 1 by virtue of the other compatibility, ∇μ e a ν = 0, by use of equation (43), and by the definitions of ωa b and L λ νμ (see equations ( 28), ( 29) and ( 41)).…”

Section: General Comments On Dependences and Compatibility In View Of...mentioning

confidence: 99%

The origin of Weyl gauging in metric-affine theories

Sauro

Zanusso²

2022

Class. Quantum Grav.

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In the ﬁrst part, we discuss the interplay between local scale invariance and metric-aﬃne degrees of freedom from few distinct points of view. We argue, rather generally, that the gauging of Weyl symmetry is a natural byproduct of requiring that scale invariance is a symmetry of a gravitational theory that is based on a metric and on an independent aﬃne structure degrees of freedom. In the second part, we compute the Nöther identities associated with all the gauge symmetries, including Weyl, Lorentz and diﬀeomorphisms invariances, for general actions with matter degrees of freedom, exploiting a gauge covariant generalization of the Lie derivative. We ﬁnd two equivalent ways to approach the problem, based on how we regard the spin-connection degrees of freedom, either as an independent object or as the sum of two Weyl invariant terms. The latter approach, which rests upon the use of a Weyl-covariant connection with desirable properties, denoted ∇ˆ, is particularly convenient and constitutes one of our main results.

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“…With appropriate choice of the potential, the generalized model can provide inflation, bounce, dark energy, and so on. This has stimulated extensive cosmological and astrophysical interests [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], and mimetic scenario has also been applied in various modified gravity theories [31][32][33][34][35][36][37][38][39][40][41][42][43][44]. The Hamiltonian analysis of different kinds of mimetic models were investigated in refs.…”

Section: Jhep04(2023)042mentioning

confidence: 99%

Extensions of two-field mimetic gravity

Zheng

Rao

2023

J. High Energ. Phys.

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Two-field mimetic gravity was recently realized by looking at the singular limit of the conformal transformation between the auxiliary metric and the physical metric with two scalar fields involved. In this paper, we reanalyze the singular conformal limit and find a more general solution for the conformal factor A, which greatly broadens the form of two-field mimetic constraint and thus extends the two-field mimetic gravity. We find the general setup still mimics the role of dark matter at the cosmological background level. Moreover, we extend the action by introducing extra possible term for phenomenological interests. Surprisingly, some special cases are found to be equivalent to general relativity, k-essence theory and Galileon theory. Finally, we further extend the theory by allowing the expression of mimetic constraint to be arbitrary without imposed condition, and show that the dark matter-like behavior is unaffected even in this extension.

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Mimetic Einstein-Cartan-Sciama-Kibble (ECSK) gravity

Cited by 12 publications

References 136 publications

The origin of Weyl gauging in metric-affine theories

The origin of Weyl gauging in metric-affine theories

The origin of Weyl gauging in metric-affine theories

Extensions of two-field mimetic gravity

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