Torsion without torsion

Mukku, C.; Sayed, Waad Al

doi:10.1016/0370-2693(79)90247-8

Cited by 25 publications

(12 citation statements)

References 2 publications

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“…As a result, it is not possible to perform MCP and maintain U (1) gauge invariance for non vanishing torsion pseudo-trace. Even in the case where the pseudo-trace vanishes, from (7) we thus come to the conclusion that is not possible to attain MCP, unless one is willing to modify either the usual U (1) gauge invariance of electromagnetism or the notion of MCP. In effect, in [8], a different notion of MCP was used, where one only demands MCP at the level of differential forms, with the exterior derivative being replaced by a covariant exterior derivative (d → D), called "Semi-Minimal Coupling Procedure" (SMCP).…”

Section: Gauge Invariance and Mcp Compatibilitymentioning

confidence: 99%

“…where φ (x) is a scalar field whose gradient gives the trace part of the torsion tensor. This formalism is known as the Hojman-Rosenbaum-Ryan-Shepley propagating torsion (HRRS model) and has been developed, in particular, for non-Abelian gauge theories in [7]. The second formalism, which we refer to as Saa's theory, represents a change in the MCP procedure by modification of the definition of the invariant volume form [8,9,10].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Maxwell Field with Torsion

2015

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Section: Gauge Invariance and Mcp Compatibilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Maxwell Field with Torsion

2015

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“…A more satisfactory approach have been introduced by Hojman, et al [31], where a new minimal coupling procedure has been devised to allow for a nonvanishing torsion in the definition of an Abelian gauge field strength. Then, it was shorty generalized for a non-abelian field as well [32]. In this procedure, one defines the gauge transformation to allow a set of space-time functions b α µ into the the definition of a covariant derivative such that; D µ = ∇ µ − igb α µ A α .…”

Section: Source Of Torsionmentioning

confidence: 99%

Gauge-Field-Induced Torsion and Cosmic Inflation

Kasem,

Khalil

2020

Preprint

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Inflation in the framework of Einstein-Cartan theory is revisited. Einstein-Cartan theory is a natural extension of the General Relativity, with non-vanishing torsion. The connection on Riemann-Cartan spacetime is only compatible with the cosmological principal for a particular form of torsion. We show this form to also be compatible with gauge invariance principle for a non-Abelian and Abelian gauge fields under a certain deviced minimal coupling procedure. We adopt an Abelian gauge field in the form of "cosmic triad". The dynamical field equations are obtained and shown to sustain cosmic inflation with a large number of e-folds. We emphasize that at the end of inflation, torsion vanishes and the theory of Einstein-Cartan reduces to the General Relativity with the usual FRW geometry.

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“…In the inflationary models the cosmic inflation is powered by a spin-0 matter, so it is more convenient to assume the case when the torsion potential is constructed by a scalar field ϕ(x), sometimes it is called tlaplon field [71,72], which serves as torsion potential. Thus we can reformulate the f (T ) theory in terms of tlaplon field with an FRW background, so we take…”

Section: B Torsion Potential Of a Scalar Fieldmentioning

confidence: 99%

Reconstruction of f ( T ) $f(T)$ -gravity in the absence of matter

Hanafy¹,

Nashed²

2016

Astrophys Space Sci

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We derive an exact f (T ) gravity in the absence of ordinary matter in Friedmann-RobertsonWalker (FRW) universe, where T is the teleparallel torsion scalar. We show that vanishing of the energy-momentum tensor T µν of matter does not imply vanishing of the teleparallel torsion scalar, in contrast to general relativity, where the Ricci scalar vanishes. The theory provides an exponential (inflationary) scale factor independent of the choice of the sectional curvature. In addition, the obtained f (T ) acts just like cosmological constant in the flat space model. Nevertheless, it is dynamical in non-flat models. In particular, the open universe provides a decaying pattern of the f (T ) contributing directly to solve the fine-tuning problem of the cosmological constant. The equation of state (EoS) of the torsion vacuum fluid has been studied in positive and negative Hubble regimes. We study the case when the torsion is made of a scalar field (tlaplon) which acts as torsion potential. This treatment enables to induce a tlaplon field sensitive to the symmetry of the spacetime in addition to the reconstruction of its effective potential from the f (T ) theory. The theory provides six different versions of inflationary models. The real solutions are mainly quadratic, the complex solutions, remarkably, provide Higgs-like potential.PACS numbers: 98.80.Qc, 04.20.Cv, 98.80.Cq.

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Torsion without torsion

Cited by 25 publications

References 2 publications

Maxwell Field with Torsion

Maxwell Field with Torsion

Gauge-Field-Induced Torsion and Cosmic Inflation

Reconstruction of f ( T ) $f(T)$ -gravity in the absence of matter

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