Einstein-Cartan gravity with scalar-fermion interactions

Razina, Olga; Myrzakulov, Yerlan; Serikbayev, Nurzhan; Nugmanova, Gulgassyl; Myrzakulov, Ratbay

doi:10.2478/s11534-011-0102-8

Cited by 10 publications

(8 citation statements)

References 24 publications

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“…In ECSK, quantum mechanical spin acts as the source of torsion, 1 in the same way as energy is a source of curvature [21,22]. Consequently, torsion could have been relevant in the early universe because of its extremely high fermion-densities [23][24][25][26][27][28][29][30]. Another interesting observation in standard ECSK is that the torsion two-form does not propagate in a vacuum, and it interacts very weakly with Standard Model fermions (See Chap.…”

Section: Jhep10(2020)150mentioning

confidence: 99%

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

Izaurieta

Medina

Merino

et al. 2020

J. High Energ. Phys.

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In this paper, we formulate the Mimetic theory of gravity in first-order formalism for differential forms, i.e., the mimetic version of Einstein-Cartan-Sciama-Kibble (ECSK) gravity. We consider different possibilities on how torsion is affected by Weyl transformations and discuss how this translates into the interpolation between two different Weyl transformations of the spin connection, parameterized with a zero-form parameter λ. We prove that regardless of the type of transformation one chooses, in this setting torsion remains as a non-propagating field. We also discuss the conservation of the mimetic stress-energy tensor and show that the trace of the total stress-energy tensor is not null but depends on both, the value of λ and spacetime torsion.

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Section: Jhep10(2020)150mentioning

confidence: 99%

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

Izaurieta

Medina

Merino

et al. 2020

J. High Energ. Phys.

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“…In cosmology, these effects are relevant for the physics around the grand unification phase transition scale and beyond, and one speaks of a torsion era, where the corresponding energy density is expected to scale with ∼a −6 . Indeed, theories with torsion in cosmological scenarios have been thoroughly studied in the literature for decades, with a large pool of applications [32][33][34][35][36][37][38][39][40][41], as well as for their fðTÞ extensions [42][43][44][45][46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Cosmological bounces, cyclic universes, and effective cosmological constant in Einstein-Cartan-Dirac-Maxwell theory

Cabral

Rubiera-García

2020

Phys. Rev. D

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Einstein-Cartan theory is an extension of the standard formulation of general relativity characterized by a nonvanishing torsion. The latter is sourced by the matter fields via the spin tensor, and its effects are expected to be important at very high spin densities. In this work, we analyze in detail the physics of Einstein-Cartan theory with Dirac and Maxwell fields minimally coupled to the spacetime torsion. This breaks the Uð1Þ gauge symmetry, which is suggested by the possibility of a torsion-induced phase transition in the early Universe. The resulting Dirac-like and Maxwell-like equations are nonlinear with self-interactions as well as having fermion-boson nonminimal couplings. We discuss several cosmological aspects of this theory under the assumption of randomly oriented spin densities (unpolarized matter), including bounces, acceleration phases, and matter-antimatter asymmetry in the torsion era, as well as latetime effects such as the generation of an effective cosmological constant, dark energy, and future bounces within cyclic solutions.

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“…Moreover {1, 1} represents the standard cold dark matter model containing no radiation while Einstein's static universe corresponds to {−∞, ∞} [49]. It is interesting to note that from (29) we can conclude that our f-essence model corresponds to ΛCDM, since it possesses the point {1, 0} for any value of λ = 2 3 . The point {1, 1} which represents the standard cold dark matter model containing no radiation is absent in our f-essence model.…”

Section: The Cosmological Implications Of the F-essence Modelmentioning

confidence: 84%

Fermionic DBI and Chaplygin gas unified models of dark energy and dark matter from f-essence

Momeni

Myrzakulov

Tsyba

et al. 2012

J. Phys.: Conf. Ser.

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Abstract. In the present work, we study the cosmological model with fermionic field and with the non-canonical kinetic term (f-essence). We present some important reductions of the model as well as some of its generalizations. We also find the exact solution of the model and examine the influence of such gravity-fermion interaction on the observed accelerated expansion of our universe. Further, we discuss the cosmological implications of the exact models. We show that our f-essence model corresponds to ΛCDM, but not a standard cold dark matter model containing no radiation. Also, our particular f-essence model has no Einstein's static universe. Further we discuss several fermionic Dirac-Born-Infeld (DBI) models as some particular reductions of f-essence, respectively and their Chaplygin gas counterparts are found.

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Einstein-Cartan gravity with scalar-fermion interactions

Cited by 10 publications

References 24 publications

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

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

Cosmological bounces, cyclic universes, and effective cosmological constant in Einstein-Cartan-Dirac-Maxwell theory

Fermionic DBI and Chaplygin gas unified models of dark energy and dark matter from f-essence

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