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Spontaneous Lorentz violation realized through a nonlinear vector field constraint of the type $A_{\mu}A^{\mu}=M^{2}$ ($M$ is the proposed scale for Lorentz violation) is shown to generate massless vector Goldstone bosons, gauging the…

High Energy Physics - Theory · Physics 2008-11-26 J. L. Chkareuli , C. D. Froggatt , J. G. Jejelava , H. B. Nielsen

In this work, a bumblebee field is adopted in order to generate cosmological anisotropies. For that purpose, we assume a Bianchi I cosmology, as the background geometry, and a bumblebee field coupled to it. Bumblebee models are examples of…

General Relativity and Quantum Cosmology · Physics 2021-10-15 R. V. Maluf , Juliano C. S. Neves

In this paper, we take into account the Gribov copies present in 3D Yang-MIlls-Higgs theory with a constant vector background whose presence breaks the Lorentz symmetry. The constant vector background is introduced within the non-Abelian…

High Energy Physics - Theory · Physics 2021-05-07 D. R. Granado , A. J. G. Carvalho , A. Yu. Petrov , D. Vercauteren

In this work analyze the physical consistency of a nonbirefringent Lorentz-violating planar model via the analysis of the pole structure of its Feynman propagators. The nonbirefringent planar model, obtained from the dimensional reduction…

High Energy Physics - Theory · Physics 2012-08-14 Rodolfo Casana , Manoel M. Ferreira , Roemir P. M. Moreira

We study how the changes of coordinates between the class of harmonic coordinates affect the analitycal solutions of Einstein's equations and we apply it to an analytical approach for stationary and axisymmetric solutions of Einstein…

General Relativity and Quantum Cosmology · Physics 2015-09-23 J. Martín , A. Molina , E. Ruiz

In this paper, we investigate a novel implication of the non-negligible spacetime curvature at large distances when its effects are expressed in terms of a suitably modified form of the Heisenberg uncertainty relations. Specifically, we…

High Energy Physics - Theory · Physics 2022-02-25 Fabrizio Illuminati , Gaetano Lambiase , Luciano Petruzziello

The possibility that Lorentz symmetry is violated in gravitational processes is relatively unconstrained by experiment, in stark contrast with the level of accuracy to which Lorentz symmetry has been confirmed in the matter sector. One…

General Relativity and Quantum Cosmology · Physics 2010-02-03 Benjamin Withers

In this paper, we investigate black hole solutions in Einstein-Kalb-Ramond (EKR) bumblebee gravity sourced by a global monopole characterized by the charge $\eta$. This modified theory of gravity possesses the notable feature of…

General Relativity and Quantum Cosmology · Physics 2025-06-17 F. M. Belchior , R. V. Maluf , A. Yu. Petrov , P. J. Porfírio

We construct a class of Einstein-vector theories where the vector field couples bilinearly to the curvature polynomials of arbitrary order in such a way that only Riemann tensor rather than its derivative enters the equations of motion. The…

High Energy Physics - Theory · Physics 2016-02-17 Wei-Jian Geng , H. Lu

We have studied stationary clouds of massive scalar fields around a rotating BTZ-like black hole in the Einstein-bumblebee gravity, by imposing the Robin type boundary conditions at the AdS boundary. We establish, by scanning the parameter…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Fangli Quan , Fengjiao Li , Qiyuan Pan , Mengjie Wang , Jiliang Jing

This paper explores some propagation features of electrodynamics in a Lorentz-violating scenario, focusing on a specific CPT-even term within the photon sector of the Standard Model Extension (SME). The study derives a covariant dispersion…

High Energy Physics - Theory · Physics 2026-02-17 E. Goulart , J. E. Ottoni , J. C. C. Felipe

We study nonlinear dynamics in models of Lorentz-violating massive gravity. The Boulware-Deser instability restricts severely the class of acceptable theories. We identify a model that is stable. It exhibits the following bizarre but…

High Energy Physics - Theory · Physics 2011-07-19 Gregory Gabadadze , Luca Grisa

In conventional gravitational physics, the so-called "bootstrap procedure" can be used to extrapolate from a linear model of a rank-2 tensor to a full non-linear theory of gravity (i.e., general relativity) via a coupling to the…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Michael D Seifert

We investigate a class of theories involving a symmetric two-tensor field in Minkowski spacetime with a potential triggering spontaneous violation of Lorentz symmetry. The resulting massless Nambu-Goldstone modes are shown to obey the…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Alan Kostelecky , Robertus Potting

We investigate the thermodynamics of $(2+1)$ dimensional BTZ black holes in the Einstein bumblebee gravity theory with spontaneous breaking of Lorentz symmetry caused by a nonzero vacuum expectation value of the vector field. We analyse…

General Relativity and Quantum Cosmology · Physics 2025-09-29 H. Kaur , Prince A Ganai

We introduce a new version of non-linear electrodynamics which is produced by a spontaneous symmetry breaking of Lorentz invariance induced by the non-zero expectation value of the electromagnetic field strength. The symmetry breaking…

High Energy Physics - Phenomenology · Physics 2010-04-06 Jorge Alfaro , Luis F. Urrutia

Assuming Lorentz symmetry is broken by some fixed vector background, we study the spinor electrodynamics modified by two dimension-five Lorentz-violating interactions between fermions and photons. The effective polarization and…

High Energy Physics - Theory · Physics 2015-06-15 Shan-quan Lan , Feng Wu

The impact of Lorentz violation on the dynamics of a scalar field is investigated. In particular, we study the dynamics of a scalar field in the scalar-vector-tensor theory where the vector field is constrained to be unity and time like. By…

High Energy Physics - Theory · Physics 2009-06-10 Arianto , Freddy P. Zen , Bobby E. Gunara , Triyanta , Supardi

We study constraints from causality and unitarity on $2\to2$ graviton scattering in four-dimensional weakly-coupled effective field theories. Together, causality and unitarity imply dispersion relations that connect low-energy observables…

High Energy Physics - Theory · Physics 2023-06-07 Simon Caron-Huot , Yue-Zhou Li , Julio Parra-Martinez , David Simmons-Duffin

This paper investigates the propagation of cosmological gravitational waves interacting with free-streaming neutrinos within the context of Horndeski theories of gravity constrained by the detection of GW170817. We apply the theory of…

General Relativity and Quantum Cosmology · Physics 2019-04-19 Mattia Scomparin , Simone Vazzoler