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Einstein Gravity can be formulated as a gauge theory with the tangent space respecting the Lorentz symmetry. In this paper we show that the dimension of the tangent space can be larger than the dimension of the manifold and by requiring the…

High Energy Physics - Theory · Physics 2013-10-18 Ali H. Chamseddine , Viatcheslav Mukhanov

As a low energy effective field theory, classical General Relativity receives an infrared relevant modification from the conformal trace anomaly of the energy-momentum tensor of massless, or nearly massless, quantum fields. The local form…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Emil Mottola

We investigate a possible unified theory of all interactions which is based only on fundamental spinor fields. The vielbein and metric arise as composite objects. The effective quantum gravitational theory can lead to a modification of…

High Energy Physics - Theory · Physics 2009-11-10 C. Wetterich

Just like the vector bosons in Abelian and non-Abelian gauge theories, gravitons can attain mass by spontaneous local symmetry breaking. The question is whether this can happen in a Lorentz-invariant way. We consider the use of four scalar…

High Energy Physics - Theory · Physics 2008-01-07 Gerard 't Hooft

We show that classically scale invariant gravity coupled to a single scalar field can undergo dimensional transmutation and generate an effective Einstein-Hilbert action for gravity, coupled to a massive dilaton. The same theory has an…

High Energy Physics - Theory · Physics 2016-01-21 Martin B Einhorn , D R Timothy Jones

Recent astrophysical data indicate that our universe might currently be in a de Sitter (dS) phase. The importance of dS space has been primarily ignited by the study of the inflationary model of the universe and the quantum gravity. As we…

General Physics · Physics 2013-01-15 Mohsen Fathi

The concept of perturbative gauge invariance formulated exclusively by means of asymptotic fields is used to construct massive gauge theories. We consider the interactions of $r$ massive and $s$ massless gauge fields together with $(r+s)$…

High Energy Physics - Theory · Physics 2009-10-31 Günter Scharf

We study the constraint equations for the Einstein-scalar field system on compact manifolds. Using the conformal method we reformulate these equations as a determined system of nonlinear partial differential equations. By introducing a new…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yvonne Choquet-Bruhat , James Isenberg , Daniel Pollack

A theory of gravity with torsion is examined in which the torsion tensor is constructed from the exterior derivative of an antisymmetric rank two potential plus the dual of the gradient of a scalar field. Field equations for the theory are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Charro Gruver , Richard Hammond , P. F. Kelly

We consider a recently proposed class of extended teleparallel theories of gravity, which entail a scalar field which is non-minimally coupled to the torsion of a flat, metric-compatible connection. This class of scalar-torsion theories of…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Elena D. Emtsova , Manuel Hohmann

The confrontation between Einstein's gravitation theory and experimental results, notably binary pulsar data, is summarized and its significance discussed. Experiment and theory agree at the 10^{-3} level. All the basic structures of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour

An explicitly covariant formulation is presented of a modified DGP scenario proposed recently [1], to avoid the instability of the self-accelerating branch. It is based on the introduction of a bulk scalar field with appropriate non-minimal…

High Energy Physics - Theory · Physics 2008-11-26 Alexey S. Koshelev , Theodore N. Tomaras

We extend 2n-dim biconformal gauge theory by including Lorentz-scalar matter fields of arbitrary conformal weight. We show that for a massless scalar field of conformal weight zero in a torsion-free biconformal geometry, the solution is…

High Energy Physics - Theory · Physics 2007-05-23 Andre Wehner , James T. Wheeler

We investigate whether there are any cosmological evidences for a scalar field with a mass and coupling to matter which change accordingly to the properties of the astrophysical system it "lives in", without directly focusing on the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 D. F. Mota , V. Salzano , S. Capozziello

Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated as low energy limit of higher-dimensional or unified…

General Physics · Physics 2025-12-09 F. Minotti , G. Modanese

We investigate stability of the Einstein static universe against the scalar, vector and tensor perturbations in the context of induced matter brane gravity. It is shown that in the framework of this model, the Einstein static universe has a…

General Relativity and Quantum Cosmology · Physics 2015-04-22 Y. Heydarzade , F. Darabi

The usual derivation of Einstein's field equations from the Einstein--Hilbert action is performed by silently assuming the metric tensor's symmetric character. If this symmetry is not assumed, the result is a new theory, such as Einstein's…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Viktor T. Toth

We give a pedagogical account of noncommutative gauge and gravity theories, where the exterior product between forms is deformed into a $\star$-product via an abelian twist (e.g. the Groenewold-Moyal twist). The Seiberg-Witten map between…

High Energy Physics - Theory · Physics 2023-06-21 Paolo Aschieri , Leonardo Castellani

The linear approximation of scalar-tensor theories of gravity is obtained in the physical (Jordan) frame under the 4+0 (covariant) and 3+1 formalisms. Then the weak-field limit is analyzed and the conditions leading to significant…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marcelo Salgado

The aim of the current paper is to study the multiscalar-tensor theories of gravity without derivative couplings. We construct a few basic objects that are invariant under a Weyl rescaling of the metric and transform covariantly when the…

General Relativity and Quantum Cosmology · Physics 2016-01-25 Piret Kuusk , Laur Jarv , Ott Vilson