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In 1918 Weyl introduced Weyl conformal geometry and its associated quadratic action which was the first gauge theory, of a spacetime symmetry, the Weyl gauge theory (of dilatations and Poincar\'e symmetry). The initial physical…

General Relativity and Quantum Cosmology · Physics 2026-04-10 D. M. Ghilencea

In this paper we obtain some cosmological solutions that describe the present period of accelerating expansion of the universe in the framework of a geometrical gauge scalar-tensor theory of gravity. The background geometry in the model is…

General Relativity and Quantum Cosmology · Physics 2023-03-08 José Edgar Madriz Aguilar , M. Montes , A. Bernal

Dark matter is obtained from a scalar field coupled conformally to gravitation; the scalar being a relict of Dirac's gauge function. This conformally coupled dark matter includes a gas of very light ($m\approx 2.25\times 10^{-34} eV$)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Mark Israelit

We examine the effect that the magnetic part of the Weyl tensor has on the large-scale expansion of space. This is done within the context of a class of cosmological models that contain regularly arranged discrete masses, rather than a…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Timothy Clifton , Daniele Gregoris , Kjell Rosquist

Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 Yinong Zhou , Kyung-Hwan Jin , Huaqing Huang , Zhengfei Wang , Feng Liu

We investigate the possibility that the observed behavior of test particles outside galaxies, which is usually explained by assuming the existence of dark matter, is the result of the dynamical evolution of particles in a Weyl type…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Piyabut Burikham , Tiberiu Harko , Kulapant Pimsamarn , Shahab Shahidi

We investigate the influence of boundary terms in gravitational field theories, by considering that in the Einstein-Hilbert action the boundary can be described by a non-metric Weyl-type geometry. The gravitational action and the the field…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Tiberiu Harko , Shahab Shahidi

The foundations of Wesson's induced matter theory are analyzed. It is shown that the 5D empty bulk must be regarded rather as a Weylian space than as a Riemannian one.The framework of a Weyl-Dirac version of Wesson's theory is elaborated…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Mark Israelit

We investigate cosmological models in a recently proposed geometrical theory of gravity, in which the scalar field appears as part of the space-time geometry. We extend the previous theory to include a scalar potential in the action. We…

General Relativity and Quantum Cosmology · Physics 2016-09-14 M. L. Pucheu , F. A. P. Alves-Junior , A. B. Barreto , C. Romero

We explore the cosmology of the Dark Dimension scenario taking into account perturbations in the linear regime. In the context of the Dark Dimension scenario, a natural candidate for dark matter in our universe is the excitations of a tower…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-10 Georges Obied , Cora Dvorkin , Eduardo Gonzalo , Cumrun Vafa

In the multiscalar-metric frameworks, the issues of the vacuum energy/cosmological constant (CC) screening due to the Weyl-scale enhancement of the Diff gauge symmetry, along with emergence of the massive dark gravity components through the…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Yury F. Pirogov

We show that in the Dirac-Milne universe (a matter-antimatter symmetric universe where the two components repel each other), rotation curves are generically flat beyond the characteristic distance of about 3 virial radii, and that a…

Astrophysics of Galaxies · Physics 2021-08-18 Gabriel Chardin , Yohan Dubois , Giovanni Manfredi , Bruce Miller , Clément Stahl

It is proposed to consider dark matter as a perfect dilaton-spin fluid (with particles endowed with intrinsic spin and dilaton charge) in the framework of a gravitational theory with a Weyl-Cartan geometrical structure. The modified…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Olga V. Babourova

We introduce the hypothesis that the matter content of the universe can be a product of the decay of primordial vector bosons. The effect of the intensive cosmological creation of these primordial vector $W, ~Z $ bosons from the vacuum is…

High Energy Physics - Theory · Physics 2016-09-06 D. Blaschke , V. Pervushin , D. Proskurin , S. Vinitsky , A. Gusev

In the present work a procedure is build up, that allows obtaining dark matter and cosmic acceleration in our 4 dimensional universe embedded in a 5 dim. manifold. Both, DM and the factor causing cosmic acceleration, as well ordinary matter…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Mark Israelit

Noticing that really the fermions of the Standard Model are best thought of as Weyl - rather than Dirac - particles (relative to fundamental scales located at some presumably very high energies) it becomes interesting that the experimental…

High Energy Physics - Theory · Physics 2009-09-25 Holger Bech Nielsen , Svend Erik Rugh

We discuss cosmological solutions for a diffeomorphism invariant gauge theory of the non-compact Lorentz group $SO(1,3)$. Besides the gauge bosons our model of pregeometry contains a vector field in the vector representation of $SO(1,3)$…

General Relativity and Quantum Cosmology · Physics 2021-12-01 C. Wetterich

The solutions of the field equations of the conformal theory of gravitation with Dirac scalar field in Weyl-Cartan spacetime in very early universe are obtained. In this theory dark energy (describing by an effective cosmological constant)…

General Relativity and Quantum Cosmology · Physics 2011-12-20 O. V. Babourova , B. N. Frolov

In spinor formalism, since any massless free-field spinor with spin higher than $1/2$ can be constructed with spin-1/2 spinors (Dirac-Weyl spinors) and scalars, we introduce a map between Weyl fields and Dirac-Weyl fields. We determine the…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Shanzhong Han

We discuss the cosmological evolution of the Weyl conformal geometry and its associated Weyl quadratic gravity. The Einstein gravity (with a positive cosmological constant) is recovered in the spontaneously broken phase of Weyl gravity;…

General Relativity and Quantum Cosmology · Physics 2022-06-24 D. M. Ghilencea , T. Harko