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This paper presents three aspects by which the Weyl geometric generalization of Riemannian geometry, and of Einstein gravity, sheds light on actual questions of physics and its philosophical reflection. After introducing the theory's…

General Relativity and Quantum Cosmology · Physics 2015-07-28 Erhard Scholz

We study some aspects of classical & quantum cosmology in the context of two-dimensionsal dilaton gravity theories with matter being described by a perfect fluid. We derive the classical equations obeyed by the metric function & the dilaton…

General Relativity and Quantum Cosmology · Physics 2010-11-11 M. A. Ahmed

The converging mechanism discussed in [Damour & Nordtvedt, Physical Review Letters,70,15] for scalar-tensor theories has been applied to dilaton-like theories in several subsequent papers. In the present communication, we show that an…

General Relativity and Quantum Cosmology · Physics 2014-06-24 Olivier Minazzoli

One of the clear predictions of string theory is the presence of a dynamical scalar partner of the spin-2 graviton, known as the dilaton. This will violate the Einstein Equivalence Principle, leading to a plethora of possibly observable…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-08 C. J. A. P. Martins , L. Vacher

Deformation quantization is applied to quantize gravitational systems coupled with matter. This quantization procedure is performed explicitly for quantum cosmology of these systems in a flat minisuper(phase)space. The procedure is employed…

High Energy Physics - Theory · Physics 2015-05-30 Ruben Cordero , Erik Diaz , Hugo Garcia-Compean , Francisco J. Turrubiates

We study nature of singularities in anisotropic string-inspired cosmological models in the presence of a Gauss-Bonnet term. We analyze two string gravity models-- dilaton-driven and modulus-driven cases-- in the Bianchi type-I background…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Alexey Toporensky , Shinji Tsujikawa

We consider a coupling of conformal gravity to the classically scale-invariant B-L extended standard model which has been recently proposed as a phenomenologically viable model realizing the Coleman-Weinberg mechanism of breakdown of the…

High Energy Physics - Phenomenology · Physics 2015-06-15 Ichiro Oda

In this paper we considered the bosonic string action in the presence of metric $G_{\mu\nu}$, Kalb-Ramond field $B_{\mu\nu}$ and dilaton field $\Phi$. The quantum conformal invariance is achieved if all three one-loop $\beta$-functions are…

High Energy Physics - Theory · Physics 2022-05-02 Bojan Nikolic

According to the theory of unimodular relativity developed by Anderson and Finkelstein, the equations of general relativity with a cosmological constant are composed of two independent equations, one which determines the null-cone structure…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert Davis Bock

We address the implementation of the cosmological principle, that is, the assumption of homogeneity and isotropy in the spatial distribution of matter in the Universe, within the context of Einstein-Cartan theory including minimal couplings…

General Relativity and Quantum Cosmology · Physics 2020-11-03 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

The unique spherically symmetric metric which has vanishing weyl tensor, is asymptotically desitter, and can model constant galactic rotation curves is presented. Two types of field equations are shown to have this metric as an exact…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Mark D. Roberts

The cosmological constant problem and the possibility of obtaining a see saw cosmological effect, where the effective vacuum energy is highly suppressed by the existence of a large scale is investigated in the context of scale-invariant,…

High Energy Physics - Theory · Physics 2007-05-23 E. I. Guendelman

We consider the fact that noticing on the operational meaning of the physical concepts played an impetus role in the appearance of general relativity (GR). Thus, we have paid more attention to the operational definition of the gravitational…

General Relativity and Quantum Cosmology · Physics 2016-10-05 Nadereh Namavarian , Mehrdad Farhoudi

We study the evolution of time-like congruences in the vacuum solutions of Weyl conformal theory of gravity. Using the Raycaudhuri equation, we show that for positive values of the coeffcient of the linear term in the solution and in the…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Morteza Mohseni , Mohsen Fathi

We investigate the problem of derivation of consistent equations of motion for the massive spin 2 field interacting with gravity within both field theory and string theory. In field theory we derive the most general classical action with…

High Energy Physics - Theory · Physics 2009-10-31 I. L. Buchbinder , V. A. Krykhtin , V. D. Pershin

We examine the variational and conformal structures of higher order theories of gravity which are derived from a metric-connection Lagrangian that is an arbitrary function of the curvature invariants. We show that the constrained first…

General Relativity and Quantum Cosmology · Physics 2009-10-30 S. Cotsakis , J. Miritzis , L. Querella

From higher dimensional theories, e.g. string theory, one expects the presence of non-minimally coupled scalar fields. We review the notion of conformal frames in cosmology and emphasize their physical equivalence, which holds at least at a…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Guillem Domènech , Misao Sasaki

In a recent paper [1], it was introduced a new class of gravitational theories with two local degrees of freedom. The existence of these theories apparently challenges the distinctive role of general relativity as the unique non-linear…

General Relativity and Quantum Cosmology · Physics 2018-10-30 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati

We study the implications of a scalar-tensorial gravity for the metric of an isolated self-gravitating superconducting cosmic string. These modifications are induced by an arbitrary coupling of a massless scalar field to the usual tensorial…

General Relativity and Quantum Cosmology · Physics 2016-11-03 C. N. Ferreira , M. E. X. Guimaraes , J. A. Helayel-Neto

We consider a Weyl-invariant formulation of gravity with a cosmological constant in d-dimensional spacetime and show that near two dimensions the classical action reduces to the timelike Liouville action. We show that the renormalized…

High Energy Physics - Theory · Physics 2016-08-17 Teresa Bautista , Atish Dabholkar