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Theories of gravity invariant under those diffeomorphisms generated by transverse vectors, $\pd_\m\xi^\m=0$ are considered. Such theories are dubbed transverse, and differ from General Relativity in that the determinant of the metric, $g$,…

高能物理 - 理论 · 物理学 2010-12-17 Enrique Álvarez , Antón F. Faedo , J. J. López-Villarejo

Scale invariant (transverse) gravitational theories are introduced. They are invariant under pure metric rescalings (i.e. the matter fields are inert under those). This symmetry forbids the presence of a cosmological constant. Those…

高能物理 - 理论 · 物理学 2011-01-24 Enrique Álvarez , Roberto Vidal

The only allowed source of the gravitational field in the unimodular theory, invariant under area-preserving (transverse) diffeomorphisms as well as Weyl transformations, is just the traceless piece of the energy-momentum tensor. This fact…

高能物理 - 理论 · 物理学 2015-06-11 Enrique Álvarez , Mario Herrero-Valea

The structure of the divergences for transverse theories of gravity is studied to one-loop order. These theories are invariant only under those diffeomorphisms that enjoy unit Jacobian determinant (TDiff), so that the determinant of the…

高能物理 - 理论 · 物理学 2008-11-26 Enrique Alvarez , Anton F. Faedo , J. J. Lopez-Villarejo

In this manuscript, a conformally invariant theory of gravitation in the context of metric measure space is studied. The proposed action is invariant under both diffeomorphism and conformal transformations. Using the variational method, a…

广义相对论与量子宇宙学 · 物理学 2015-10-06 Nafiseh Rahmanpour , Hossein Shojaie

A Weyl invariant extension of Einstein gravity is studied. It simply consists in the group averaging of Einstein's action under Weyl transformations. Contradicting cherished beliefs, a conformal anomaly is found in the trace of the…

高能物理 - 理论 · 物理学 2013-11-14 Enrique Alvarez , Mario Herrero-Valea

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Kirill Krasnov

There exist two consistent theories of massless, self-interacting gravitons, which differ by their local symmetries: general relativity and Weyl transverse gravity. We show that these two theories are also the only two metric descriptions…

广义相对论与量子宇宙学 · 物理学 2026-01-14 Ana Alonso-Serrano , Luis J. Garay , Marek Liška

In contrast to electrodynamics, Einstein's gravitation equations are not invariant with respect to a wide class of the mapping of field variables which leave equations of motion of test particles in a given coordinate system invariant. It…

广义相对论与量子宇宙学 · 物理学 2008-05-20 Leonid Verozub

Unimodular Gravity is a theory displaying Weyl rescalings of the metric and transverse (volume-preserving) diffeomorphisms as gauge symmetries, as opposed to the full set of diffeomorphisms displayed by General Relativity. Recently, we…

高能物理 - 理论 · 物理学 2023-03-10 Luis J. Garay , Gerardo García-Moreno

We present a perturbative treatment of gravitational wave memory. The coordinate invariance of Einstein's equations leads to a type of gauge invariance in perturbation theory. As with any gauge invariant theory, results are more clear when…

广义相对论与量子宇宙学 · 物理学 2014-04-23 Lydia Bieri , David Garfinkle

We construct a Weyl transverse diffeomorphism invariant theory of teleparallel gravity by employing the Weyl compensator formalism. The low-energy dynamics has a single spin two gravition without a scalar degree of freedom. By construction,…

广义相对论与量子宇宙学 · 物理学 2023-05-31 Yu Nakayama

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

高能物理 - 理论 · 物理学 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

Einstein's Theory of General Relativity was formulated as a gauge theory of Lorentz symmetry by Utiyama in 1956, while the Einstein-Cartan gravitational theory was formulated by Kibble in 1961 as the gauge theory of Poincare…

高能物理 - 理论 · 物理学 2009-09-02 M. Chaichian , M. Oksanen , A. Tureanu , G. Zet

The Einstein equivalence principle is certainly a key element in the development of new enhanced theories of gravity. Although being an important building block in Einstein's general relativity, theoretically predicted violations of its…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Oliver Preuss

In the theory of General Relativity, gravity is described by a metric which couples minimally to the fields representing matter. We consider here its "veiled" versions where the metric is conformally related to the original one and hence is…

广义相对论与量子宇宙学 · 物理学 2015-05-19 Nathalie Deruelle , Misao Sasaki

We present a novel derivation of the spacetime metric generated by matter, without invoking Einstein's field equations. For static sources, the metric arises from a relativistic formulation of D'Alembert's principle, where the inertial…

物理学史与哲学 · 物理学 2025-10-17 Jaume de Haro , Emilio Elizalde

We propose a new theory of gravitation on noncommutative space-time which is invariant under the general coordinate transformations, while the local Lorentz invariance is realized as twisted gauge symmetry. Our theory is remarkably simpler…

高能物理 - 理论 · 物理学 2010-09-29 Archil Kobakhidze

We explore the hypothesis that the set of symmetries enjoyed by the theory that describes gravity is not the full group of diffeomorphisms Diff(M), as in General Relativity, but a maximal subgroup of it, TransverseDiff(M), with its elements…

高能物理 - 理论 · 物理学 2015-05-18 J. J. Lopez-Villarejo

In general relativity, gravitational waves propagate at the speed of light, and so gravitons are massless. The masslessness can be traced to symmetry under diffeomorphisms. However, another elegant possibility exists: masslessness can…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Alan Kostelecky , Robertus Potting
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