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Causal rigid particles whose action includes an {\it arbitrary} dependence on the world-line extrinsic curvature are considered. General classes of solutions are constructed, including {\it causal tachyonic} ones. The Hamiltonian…

High Energy Physics - Theory · Physics 2009-10-22 Jan Govaerts

A massless electroweak theory for leptons is formulated in a Weyl space, W_4, yielding a Weyl invariant gauge dynamics allowing for conformal rescalings of the metric and all fields with nonvanishing Weyl weight together with the…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Wolfgang Drechsler

We study and discuss some of the consequences of the inclusion of torsion in 3D Einstein-Chern-Simons gravity. Torsion may trigger the excitation of non-physical modes in the spectrum. Higher-derivative terms are then added up and…

High Energy Physics - Theory · Physics 2009-10-31 J. L. Boldo , L. M. de Moraes , J. A. Helayel-Neto

In this paper, we investigate the cosmological implications and constraints of Weyl-type $f(Q, T)$ gravity. This theory introduces a coupling between the non-metricity $Q$ and the trace $T$ of the energy-momentum tensor, using the…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Alnadhief H. A. Alfedeel , M. Koussour , N. Myrzakulov

Recently, it has been pointed out that dimensionless actions in four dimensional curved spacetime possess a symmetry which goes beyond scale invariance but is smaller than full Weyl invariance. This symmetry was dubbed {\it restricted Weyl…

High Energy Physics - Theory · Physics 2015-08-26 Ariel Edery , Yu Nakayama

This paper gives a brief overview of the manifestly covariant canonical gauge gravity (CCGG) that is rooted in the De Donder-Weyl Hamiltonian formulation of relativistic field theories, and the proven methodology of the canonical…

General Relativity and Quantum Cosmology · Physics 2024-10-25 D. Vasak , J. Kirsch , A. van de Venn , V. Denk , J. Struckmeier

We show that topologically massive gravity can be obtained by the consistent Kaluza-Klein reduction from recently constructed seven-dimensional gravity with topological terms. The internal four-manifold should be Einstein with the…

High Energy Physics - Theory · Physics 2010-10-01 H. Lu , Zhao-Long Wang

We extend our program, of coupling theories to scale in order to make their Weyl invariance manifest, to include interacting theories, fermions and supersymmetric theories. The results produce mass terms coinciding with the standard ones…

High Energy Physics - Theory · Physics 2014-11-20 Abrar Shaukat , Andrew Waldron

We develop a generalized projective gauge theory of gravity and spinorial matter, incorporating both non-metricity and torsion. The work is divided into three parts. Part I provides a thorough review of General Relativity, Metric-Affine…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Michael J. Connolly

Within the framework of scalar-non-metricity gravity, we introduce a steep potential together with a power-law coupling function and investigate whether the acceleration phases of the universe can be consistently described by this model. In…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Ghulam Murtaza , Avik De , Andronikos Paliathanasis

We show how to lift a generic non-scale invariant action in Einstein frame into a locally conformally-invariant (or Weyl-invariant) theory and present a new general form for Lagrangians consistent with Weyl symmetry. Advantages of such a…

High Energy Physics - Theory · Physics 2014-02-26 Itzhak Bars , Paul Steinhardt , Neil Turok

The Weyl-Weinberg-Salam model is presented. It is based on the local conformal gauge symmetry. The model identifies the Higgs scalar field in SM with the Penrose-Chernikov-Tagirov scalar field of the conformal theory of gravity. Higgs…

High Energy Physics - Theory · Physics 2010-12-13 Marek Pawlowski

We present a new set of asymptotic conditions for gravity at spatial infinity that includes gravitational magnetic-type solutions, allows for a non-trivial Hamiltonian action of the complete $BMS_4$ algebra, and leads to a non-divergent…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Marc Henneaux , Cédric Troessaert

We formulate topologically massive supergravity with cosmological constant in the first order formalism, and construct the Noether supercurrent and superpotential associated with its local supersymmetry. Using these results, we construct in…

High Energy Physics - Theory · Physics 2009-11-13 Ergin Sezgin , Yoshiaki Tanii

The coupling problem of higher spin fields with a non dynamical background is revisited, focussing our attention in 2+1 dimensional space-time. Starting with a suitable Lagrangian field formulation, we study causality and the conservation…

High Energy Physics - Theory · Physics 2007-11-16 Rolando Gaitan D

A method to construct interior axially symmetric metrics that appropriately match with any vacuum solution of the Weyl family is developed in Hernandez-Pastora etal. (Class Quantum Gravity 33:235005, 2016). It was shown,for the case of some…

General Relativity and Quantum Cosmology · Physics 2020-05-11 J. L. Hernandez-Pastora

We investigate (2+1)-dimensional gravity in a Weyl integrable spacetime (WIST). We show that, unlike general relativity, this scalar-tensor theory has a Newtonian limit for any dimension and that in three dimensions the congruence of world…

General Relativity and Quantum Cosmology · Physics 2015-10-21 J. E. Madriz Aguilar , C. Romero , J. B. Fonseca-Neto , T. S. Almeida , J. B. Formiga

We study exact solutions to Cosmological Topologically Massive Gravity (CTMG) coupled to Topologically Massive Electrodynamics (TME) at special values of the coupling constants. For the particular case of the so called chiral point…

High Energy Physics - Theory · Physics 2009-10-13 Alan Garbarz , Gaston Giribet , Yerko Vásquez

The purpose of the present work is to extend the earlier results for asymptotically flat vacuum space-times to asymptotically flat solutions of the Einstein-Maxwell equations. Once again, in this case, we get a class of asymptotically…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Ezra T. Newman , Gilberto Silva-Ortigoza

We start by presenting the general set of structure equations for the 1+3 threading spacetime decomposition in 4 spacetime dimensions, valid for any theory of gravitation based on a metric compatible affine connection. We then apply these…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Paulo Luz , José P. S. Lemos