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Constructs from conformal geometry are important in low dimensional gravity models, while in higher dimensions the higher curvature interactions of Lovelock gravity are similarly prominent. Considering conformal invariance in the context of…

High Energy Physics - Theory · Physics 2015-06-16 David Kastor

We investigate the evolution of cosmological perturbations during de Sitter inflation in the Einstein-Chern-Simons-Weyl gravity. Primordial massive gravitational waves are composed of one scalar, two vector and four tensor circularly…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Yun Soo Myung , Taeyoon Moon

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 coupling of matter to geometry in conformal quadratic Weyl gravity, by assuming a coupling term of the form $L_m\tilde{R}^2$, where $L_m$ is the ordinary matter Lagrangian, and $\tilde{R}$ is the Weyl scalar. The coupling…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Tiberiu Harko , Shahab Shahidi

We present some approaches to the perturbative analysis of the classical and quantum gravity. First we introduce a graphical representation for a global SO(n) tensor $(\pl)^d h_\ab$, which generally appears in the weak field expansion…

High Energy Physics - Theory · Physics 2009-10-31 Shoichi Ichinose , Noriaki Ikeda

We re-consider the graviton self-energy induced by a loop of massless, minimally coupled scalars on de Sitter background. On flat space background it can be represented as a sum of two tensor differential operators acting on scalar…

General Relativity and Quantum Cosmology · Physics 2025-05-12 S. P. Miao , N. C. Tsamis , R. P. Woodard , B. Yesilyurt

We argue that a spontaneous breakdown of local Weyl invariance offers a mechanism in which gravitational interactions contribute to the generation of particle masses and their electric charge. The theory is formulated in terms of a…

High Energy Physics - Theory · Physics 2009-11-07 T. Dereli , R. W. Tucker

The apparent missing mass in galaxies and galaxy clusters, commonly viewed as evidence for dark matter, could possibly originate from gradients in the gravitational coupling parameter, $G$, and active gravitational mass, $M_{act}$, rather…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Meir Shimon

Scalar fields with inverse power-law effective potentials may provide a negative pressure component to the energy density of the universe today, as required by cosmological observations. In order to be cosmologically relevant today, the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Nicola Bartolo , Massimo Pietroni

We consider the possibility of deriving a decoupled equation in terms of Weyl tensor components for gravitational perturbations of the Schwarzschild-Tangherlini solution. We find a particular gauge invariant component of the Weyl tensor…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Mahdi Godazgar

In a previous work the authors have solved the Einstein equations of General Relativity for a class of metrics with constant spatial curvature, where it was found a non vanishing Weyl tensor in the presence of a primordial magnetic field…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Grasiele B. Santos , Eduardo Bittencourt , José M. Salim

The direct detection of gravitational waves (GWs) is an invaluable new tool to probe gravity and the nature of cosmic acceleration. A large class of scalar-tensor theories predict that GWs propagate with velocity different than the speed of…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Dario Bettoni , Jose María Ezquiaga , Kurt Hinterbichler , Miguel Zumalacárregui

We study the power spectral density of time delay fluctuations in an interferometer as a potential low-energy quantum gravitational observable. We derive a general expression for the spectrum in terms of the Wightman function of linear…

High Energy Physics - Theory · Physics 2026-05-22 Laurent Freidel , Robin Oberfrank

Large corrections to the inflationary tensor power spectrum have been speculated to emerge either as second-order scalar-induced classical effects, or as 1-loop quantum corrections. These two sources are not independent of each other.…

High Energy Physics - Phenomenology · Physics 2026-05-28 A. Hauser , M. Laine

We study cosmological tensor perturbations generated during de Sitter inflation in the conformal gravity with mass parameter $m^2=2H^2$. It turns out that tensor power spectrum is scale-invariant.

General Relativity and Quantum Cosmology · Physics 2015-10-21 Yun Soo Myung , Taeyoon Moon

We theoretically investigate the Aharonov-Bohm effect in a thick-walled Weyl semimetal (WSM) cylinder subject to an external axial magnetic field. By employing a low-energy effective Hamiltonian, we analytically solve the eigenvalue problem…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 J. C. Pérez-Pedraza , Juan A. Cañas , Daniel A. Bonilla , A. Martín-Ruiz

The scalar-tensor theory of gravitation proposed by Mbelek and Lachi\`{e}ze-Rey have been recently shown to lead to some remarkable effects beyond those initially explored by its authors. These new effects include a possible explanation of…

General Relativity and Quantum Cosmology · Physics 2013-12-12 F. O. Minotti , T. E. Raptis

We study the half advanced and half retarded Wheeler Green function and its relation to Feynman propagators. First for massless equation. Then, for Klein-Gordon equations with arbitrary mass parameters; real, imaginary or complex. In all…

High Energy Physics - Theory · Physics 2007-05-23 C. G. Bollini , M. C. Rocca

It is shown that in the quadratic gravity based on Weyl's conformal geometry, the Planck mass scale can be generated from quantum effects of the gravitational field and the Weyl gauge field via the Coleman-Weinberg mechanism where a local…

High Energy Physics - Theory · Physics 2019-09-24 Ichiro Oda

We construct and study perturbative unitarity (i.e., ghost and tachyon analysis) of a $3+1$-dimensional noncompact Weyl-Einstein-Yang-Mills model. The model describes a local noncompact Weyl's scale plus $SU(N)$ phase invariant Higgs-like…

High Energy Physics - Theory · Physics 2017-07-11 Suat Dengiz