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A conservative extension of general relativity is proposed by alleviating the differentiability of the metric and allowing for non-smooth solutions. We show that these metrics break some symmetries of the Riemann tensor, yielding a new…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Iberê Kuntz

Astrophysical, terrestrial, and space-based searches for Lorentz violation are very briefly reviewed. Such searches are motivated by the fact that all superunified theories (and other theories that attempt to include quantum gravity) have…

High Energy Physics - Theory · Physics 2009-11-10 Roland E. Allen , Seiichirou Yokoo

This paper presents the effects of non-minimal Lorentz-violation operators in superconductivity. By constructing a Lorentz-Violating Ginzburg-Landau theory of superconductivity with a five-dimensional operator, we discuss the influence of…

High Energy Physics - Theory · Physics 2024-07-08 M. C. Araújo , I. C. Jardim , D. F. S. Veras , J. Furtado

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 maximal extension of the Hilbert-Einstein action and analyze several interesting features of the theory. More specifically, the motion is non-geodesic and takes place in the presence of an extra force. These models could lead…

General Relativity and Quantum Cosmology · Physics 2012-11-05 Francisco S. N. Lobo , Tiberiu Harko

We consider higher derivative corrections to the graviton three-point coupling within a weakly coupled theory of gravity. Lorentz invariance allows further structures beyond the one present in the Einstein theory. We argue that these are…

High Energy Physics - Theory · Physics 2017-03-22 Xian O. Camanho , Jose D. Edelstein , Juan Maldacena , Alexander Zhiboedov

The recent detections of gravitational waves by the advanced LIGO and Virgo detectors open up new tests of modified gravity theories in the strong-field and dynamical, extreme gravity regime. Such tests rely sensitively on the phase…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Alexander Saffer , Nicolas Yunes , Kent Yagi

We show that higher curvature order gravities, in particular the propagating quadratic curvature models, cannot be derived by self-coupling from their linear, flat space, forms, except through an unphysical version of linearization; only GR…

General Relativity and Quantum Cosmology · Physics 2017-11-08 S. Deser

The Lorentz force equations provide a partial description of the geodesic motion of a charged particle on a four-manifold. Under the hypothesis that Maxwell's equations express symmetry properties of the Ricci tensor, the full…

Mathematical Physics · Physics 2007-05-23 Michael A. Graber

A consistent theory of faster-than-light particles (tachyons) can be built replacing the standard Lorentz-invariant approach to the quantum field theory of tachyons by the Lorentz-covariant one, invoking a concept of the preferred reference…

General Physics · Physics 2019-06-17 Vassili F. Perepelitsa

We investigate the possibility of constructing a covariant Newtonian gravitational theory and find that the action describing a massless relativistic particle in a background Newtonian gravitodynamic field has a higher-dimensional extension…

High Energy Physics - Theory · Physics 2007-05-23 W. Chagas-Filho

We propose a harmonic superspace description of the non-linear vector-tensor N=2 multiplet. We show that there exist two inequivalent version: the old one in which one of the vectors is the field-strength of a gauge two-form, and a new one…

High Energy Physics - Theory · Physics 2009-10-30 E. Ivanov , E. Sokatchev

Recently, a state of the art experiment shows evidence for Lorentz violation in the gravitational sector. To explain this experiment, we investigate a spontaneous Lorentz violation scenario with a generalized scalar field. We find that when…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Miao Li , Yi Pang , Yi Wang

We consider scalar quantum electrodynamics in the Higgs phase and in the presence of Lorentz violation. Spontaneous breaking of the gauge symmetry gives rise to Lorentz-violating gauge field mass terms. These may cause the longitudinal mode…

High Energy Physics - Theory · Physics 2013-05-21 Brett Altschul

Bootstrapped Newtonian gravity is a non-linear version of Newton's law which can be lifted to a fully geometric theory of gravity starting from a modified potential. Here, we study geodesics in the bootstrapped Newtonian effective metric in…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Anna D'Addio , Roberto Casadio , Andrea Giusti , Mariafelicia De Laurentis

We purpose a study a Lorentz-breaking extension of the scalar QED. We calculate the contributions in the Lorentz-violating parameters to the two-point functions of scalar and gauge fields. We found that the two background tensors, coming…

High Energy Physics - Theory · Physics 2023-05-17 Jean C. C. Felipe , A. Yu Petrov , A. P. B. Scarpelli , L. C. T. Brito

We consider an extended theory of gravity with Lagrangian $\mathcal{L} = f(R,{\bf T}^{(n)})$, with ${\bf T}^{(n)}$ being a $2n$-th order invariant made of contractions of the energy-momentum tensor. When $n=1$ this theory reduces to…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Habib Abedi , Francesco Bajardi , Salvatore Capozziello

We calculate the expectation values of the stress-energy tensor for both a massless minimally-coupled and dilaton-coupled 2D field propagating on an extremal Reissner-Nordstrom black hole, showing its regularity on the horizon in contrast…

High Energy Physics - Theory · Physics 2015-06-26 S. Farese

We discuss the coupling of vector-tensor multiplets to N=2 supergravity.

High Energy Physics - Theory · Physics 2009-10-30 P. Claus , B. de Wit , M. Faux , B. Kleijn , R. Siebelink , P. Termonia

Recently, a gauge theory of unified gravity [Rep. Prog. Phys. 88, 057802 (2025)] has been developed to extend the Standard Model to include gravity. Here we present unified gravity using the ordinary four-vector and tensor field notation of…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Mikko Partanen , Jukka Tulkki