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A Weyl geometric scale covariant approach to gravity due to Omote, Dirac, and Utiyama (1971ff) is reconsidered. It can be extended to the electroweak sector of elementary particle fields, taking into account their basic scaling freedom.…

High Energy Physics - Theory · Physics 2015-05-27 Erhard Scholz

It is an old idea of ours (H. B. "Nielsen Dual Models" section 6 "Catastrophe Theory Program" Scottish University Summer school 1976) that a most general material with only translation symmetry, but otherwise no symmetries should…

General Physics · Physics 2018-06-13 HolgerB. Nielsen , Masao Ninomiya

In this paper we investigate spectral flow symmetry in asymptotically flat spacetimes both from a gravity as well as a putative dual quantum field theory perspective. On the gravity side we consider models in Einstein gravity and…

High Energy Physics - Theory · Physics 2018-01-17 Rudranil Basu , Stéphane Detournay , Max Riegler

We study a class of shear-free, homogeneous but anisotropic cosmological models with imperfect matter sources in the context of f(R) gravity. We show that the anisotropic stresses are related to the electric part of the Weyl tensor in such…

General Relativity and Quantum Cosmology · Physics 2016-04-01 Amare Abebe , Davood Momeni , Ratbay Myrzakulov

As is well known, both Weyl and Weitzenb\"ock spacetimes were initially used as attempts to geometrize the electromagnetic field. In this letter, we prove that this field can also be regarded as a geometrical quantity in an extended version…

General Relativity and Quantum Cosmology · Physics 2013-04-03 J. B. Formiga , J. B. Fonseca--Neto , C. Romero

We investigate the interaction between scalar fields and radiation in the framework of warm inflationary models by using the irreversible thermodynamics of open systems with matter creation/annihilation. We consider the scalar fields and…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Tiberiu Harko , Haidar Sheikhahmadi

We point out a new phenomenon which seems to be generic in 4d effective theories of scalar fields coupled to Einstein gravity, when applied to cosmology. A lift of such theories to a Weyl-invariant extension allows one to define classical…

High Energy Physics - Theory · Physics 2015-06-03 Itzhak Bars , Shih-Hung Chen , Paul J. Steinhardt , Neil Turok

The unifying approach to early-time and late-time universe based on phantom cosmology is proposed. We consider gravity-scalar system which contains usual potential and scalar coupling function in front of kinetic term. As a result, the…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We examine the time evolution of the D=d+4 dimensional Einstein field equations subjected to a flat Robertson-Walker metric where the 3D and higher-dimensional scale factors are allowed to evolve at different rates. We find the exact…

General Relativity and Quantum Cosmology · Physics 2019-12-03 Chad Middleton , Bret A. Brouse , Scott D. Jackson

The linear cosmological perturbation theory of almost homogeneous and isotropic perfect fluid and scalar field universes is reconsidered and formally simplified. Using the existence of a covariant conserved quantity on large perturbation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Winfried Zimdahl

We determine the leading order fall-off behaviour of the Weyl tensor in higher dimensional Einstein spacetimes (with and without a cosmological constant) as one approaches infinity along a congruence of null geodesics. The null congruence…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Marcello Ortaggio , Alena Pravdová

We derive a Weyl invariant equation for Gravity by gauging the global Weyl invariance of vacuum Einstein equations. The equation is linear in the curvature and a natural generalization of Einstein equations to Weyl geometry. The system has…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Máximo Bañados

The standard electroweak theory of leptons and the conformal groups of spacetime Weyl's transformations are at the core of a general relativistic, conformally covariant scalar tensor theory aimed at the resolution of the most intriguing…

General Relativity and Quantum Cosmology · Physics 2018-02-27 Francesco De Martini

We study the Weyl vector fields which can play an important role in quantum gravity. The metric obtains its dynamical content after dynamical symmetry breaking in the phase of the effective Einstein gravity which is induced by quantum Weyl…

General Relativity and Quantum Cosmology · Physics 2010-09-28 B. S. Park , D. G. Pak

In this talk notes we expose the possibility to induce the cosmological constant from extra dimensions, in a geometrical framework where our four-dimensional Riemannian space-time is embedded into a five-dimensional Weyl integrable space.…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Jose Edgar Madriz Aguilar , Carlos Romero

In cosmology based on general relativity, the universe is modeled as a fluid. The transition from the Einstein field equation to its large-scale (cosmological) version is thus analogous to the transition, for a system consisting of a large…

General Physics · Physics 2018-10-18 Gregory Ryskin

We propose a model for a power-counting renormalizable field theory living in a fractal spacetime. The action is Lorentz covariant and equipped with a Stieltjes measure. The system flows, even in a classical sense, from an ultraviolet…

High Energy Physics - Theory · Physics 2015-03-13 Gianluca Calcagni

We investigate the possibility of inducing the cosmological constant from extra dimensions by embedding our four-dimensional Riemannian space-time into a five-dimensional Weyl integrable space. Following approach of the induced matter…

Mathematical Physics · Physics 2009-11-05 Jose Edgar Madriz Aguilar , Carlos Romero

We perform a detailed analysis on the dynamics of a Chiral-like cosmological model where the scalar fields can have negative kinetic terms. In particular, we study the asymptotic dynamics for the gravitational field equations for four…

General Relativity and Quantum Cosmology · Physics 2021-06-08 Andronikos Paliathanasis , Genly Leon

We analyse two static spacetimes, recently generated from a Schwarzschild--Bertotti--Robinson electrovacuum seed through distinct symmetry transformations. The electromagnetic field of the transformed solutions can be set to zero and both…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Carlos A. R. Herdeiro , João P. A. Novo
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