Weyl integrable space-time: A model of our cosmos?

Novello, M.; Heintzmann, H.

doi:10.1016/0375-9601(83)90532-7

Cited by 19 publications

(25 citation statements)

References 4 publications

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“…140 In spite of such shortcomings this model may be of some value for exploring the possibilities of Weyl geometric scalar fields in the realm of dark matter phenomena. (Novello/Heintzmann, 1983). Like other authors before them, they used a metric-affine approach to gravity, presupposing a metric g and an independent affine connection Γ.…”

Section: 3mentioning

confidence: 99%

The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics

Scholz

2018

Einstein Studies

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Weyl's original scale geometry of 1918 ("purely infinitesimal geometry") was withdrawn by its author from physical theorizing in the early 1920s. It had a comeback in the last third of the 20th century in different contexts: scalar tensor theories of gravity, foundations of gravity, foundations of quantum mechanics, elementary particle physics, and cosmology. It seems that Weyl geometry continues to offer an open research potential for the foundations of physics even after the turn to the new millennium.1 Such an attempt seemed to be supported experimentally by the phenomenon of (Bjorken) scaling in deep inelastic electron-proton scattering experiments. The latter indicated, at first glance, an active scaling symmetry of mass/energy in high energy physics; but it turned out to hold only approximatively and was of restricted range. 19 See the discussion in (Quiros et al., 2013b) and (Scholz, 2017). 20 (Weyl, 1920) 21 Weyl's note (Weyl, 1921) became better known by his calculation and discussion of projective and conformal curvature tensors, which followed.22 See (Trautman, 2012).

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Section: 3mentioning

confidence: 99%

The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics

Scholz

2018

Einstein Studies

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“…A variety of works have been done in the Weyl geometry including the cosmology [2], relations to scalar-tensor [3] and teleparallel theories [4]. One can also restrict the form of Weyl vector to be a derivative of a scalar as w µ = ∂ µ φ [5]. In this case the length curvature W µν vanishes and one can then define a fixed unit length at each point.…”

Section: Introductionmentioning

confidence: 99%

The Weyl–Cartan Gauss–Bonnet gravity

Haghani

Khosravi

2015

Class. Quantum Grav.

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In this paper, we consider the generalized Gauss-Bonnet action in 4-dimensional Weyl-Cartan space-time. In this space-time, the presence of torsion tensor and Weyl vector implies that the generalized Gauss-Bonnet action will not be a total derivative in four dimension space-time. It will be shown that the higher than two time derivatives can be removed from the action by choosing suitable set of parameters. In the special case where only the trace part of the torsion remains, the model reduces to GR plus two vector fields. One of which is massless and the other is massive. We will then obtain the healthy region of the 5-dimensional parameter space of the theory in some special cases.

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“…It is our purpose here to pursue this question further in the light of some modified gravity theories formulated in a particular kind of space-time geometry, namely, the so-called Weyl integrable space-time (WIST) [17][18][19][20][21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%