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By a uniform and simple Weyl invariant coupling of scale and matter fields, we construct theories that unify massless, massive, and partially massless excitations. Masses are related to tractor Weyl weights, and Breitenlohner-Freedman…

High Energy Physics - Theory · Physics 2014-11-18 A. R. Gover , A. Shaukat , A. Waldron

We construct a Weyl-invariant extension of topologically massive gravity which, remarkably, turns out to include topologically massive electrodynamics, with a Proca mass term, conformally coupled to a scalar field. The action has no…

High Energy Physics - Theory · Physics 2012-11-08 Suat Dengiz , Ercan Kilicarslan , Bayram Tekin

We review the construction of the tensorial structure of the graviton propagator in the context of loop quantum gravity and spinfoam formalism. The main result of this analysis is that applying the same strategy used to compute the diagonal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Alesci

We construct consistent interacting gauge theories for M conformal massless spin-2 fields ("Weyl gravitons") with the following properties: (i) in the free limit, each field fulfills the equation ${\cal B}^{\mu \nu} = 0$, where ${\cal…

High Energy Physics - Theory · Physics 2009-11-07 Nicolas Boulanger , Marc Henneaux , Peter van Nieuwenhuizen

We put forward the idea that in addition to diffeomorphism invariance of general relativity (GR) the gravitational interaction is invariant under arbitrary scale-deformations of the metric field. In addition, we assume that the scaling…

General Relativity and Quantum Cosmology · Physics 2022-05-19 Meir Shimon

We compute the spectrum of primordial gravitational wave perturbations in open de Sitter spacetime. The background spacetime is taken to be the continuation of an O(5) symmetric instanton saddle point of the Euclidean no boundary path…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , Thomas Hertog , Neil Turok

Weyl's conformal theory of gravity is an extension of Einstein's theory of general relativity which associates metrics with 1-forms . In the case of locally integrable (closed non-exact) 1-forms the spacetime manifolds are no more simply…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Michel Duneau

Deser and Nepomechie established a relationship between masslessness and rigid conformal invariance by coupling to a background metric and demanding local Weyl invariance, a method which applies neither to massive theories nor theories…

High Energy Physics - Theory · Physics 2009-02-16 A. R. Gover , A. Shaukat , A. Waldron

In this work we consider a scale-tensor theory in which the space-time is endowed with a Weyl integrable geometrical structure due to the Palatini variational method. Since the scalar field has a geometrical nature (related to…

General Relativity and Quantum Cosmology · Physics 2020-07-06 Adriano B. Barreto , Gilberto M. Kremer

We consider an extension of Weyl geometry with the most general connection linearly determined by a vector field. We discuss some of the geometrical properties within this framework and then we construct gravitational theories leading to an…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Jose Beltran Jimenez

This article investigates the signatures of various models of dark energy on weak gravitational lensing, including the complementarity of the linear and non-linear regimes. It investigates quintessence models and their extension to…

Astrophysics · Physics 2009-11-10 Carlo Schimd , Jean-Philippe Uzan , Alain Riazuelo

In this paper, two things are done. (i) Using cohomological techniques, we explore the consistent deformations of linearized conformal gravity in 4 dimensions. We show that the only possibility involving no more than 4 derivatives of the…

High Energy Physics - Theory · Physics 2017-09-27 N. Boulanger , M. Henneaux

We consider theories containing scalar fields interacting with vector or with tensor degrees of freedom, equipped with symmetries that prevent the propagation of linearized scalar excitations around solutions of the equations of motion. We…

High Energy Physics - Theory · Physics 2020-10-14 Gianmassimo Tasinato

Gravitational wave observations will probe non-linear gravitational interactions and thus enable strong tests of Einstein's theory of general relativity. We present a numerical relativity study of the late inspiral and merger of binary…

General Relativity and Quantum Cosmology · Physics 2015-06-03 James Healy , Tanja Bode , Roland Haas , Enrique Pazos , Pablo Laguna , Deirdre M. Shoemaker , Nicolás Yunes

We consider several tensorial wave equations, specifically the equations of Maxwell, Yang-Mills, and Weyl fields, posed on a curved spacetime, and we establish new energy inequalities under certain one-sided geometric conditions. Our…

General Relativity and Quantum Cosmology · Physics 2021-06-17 Annegret Y. Burtscher , James D. E. Grant , Philippe G. LeFloch

A new method to visualize the curvature of spacetime was recently proposed. This method finds the eigenvectors of the "electric" and "magnetic" components of the Weyl tensor and, in analogy to the field lines of electromagnetism, uses the…

General Relativity and Quantum Cosmology · Physics 2011-09-08 Aaron Zimmerman , David A. Nichols , Fan Zhang

Feynman diagrams are the foremost tool in the perturbative study of quantum field theory. In gauge theories, the full potential of this tool is revealed when it is combined with the Slavanov-Taylor identities associated with the local gauge…

High Energy Physics - Theory · Physics 2025-12-16 Roji Pius

Gravitational waves are one of the most important diagnostic tools in the analysis of strong-gravity dynamics and have been turned into an observational channel with LIGO's detection of GW150914. Aside from their importance in astrophysics,…

General Relativity and Quantum Cosmology · Physics 2017-01-18 William G. Cook , Ulrich Sperhake

We derive an interacting quintessence model on the framework of a recently introduced new class of geometrical scalar-tensor theories of gravity formulated on a Weyl-Integrable geometry, where the gravitational sector is described by both a…

General Relativity and Quantum Cosmology · Physics 2017-12-19 Jose Edgar Madriz Aguilar , M. Montes

We propose a new class of $f(R)$ theory where its Weyl gauge symmetry is broken in the primordial era of the universe. This symmetry forces one to adopt a new scalar field, namely a Weyl field and a gauge vector boson. Furthermore, an…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Jiwon Park , Tae Hoon Lee