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In this paper we examine the stability of scalar perturbations in nonsingular models which emerge from an interacting vacuum component. The analysis developed in this paper relies on two phenomenological choices for the energy exchange…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Filipe Cattete Alves , Rodrigo Maier

In quantum theory of gravity, we expect the Lorentz Invariance Violation (LIV) and the modification of the dispersion relation between energy and momentum for photons. The effect of the energy-dependent velocity due to the modified…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-24 Yu Pan , Yungui Gong , Shuo Cao , He Gao , Zong-Hong Zhu

We reexamine a scenario in which photons and gravitons arise as Goldstone bosons associated with the spontaneous breaking of Lorentz invariance. We study the emergence of Lorentz invariant low energy physics in an effective field theory…

High Energy Physics - Theory · Physics 2009-11-07 Per Kraus , E. T. Tomboulis

We consider a model of Quantum Gravity phenomenology, based on the idea that space-time may have some unknown granular structure that respects the Lorentz symmetry. The proposal involves non-trivial couplings of curvature to matter fields…

General Relativity and Quantum Cosmology · Physics 2008-01-21 Y. Bonder

Binary pulsar observations and gravitational wave detections seriously constrained scalar-tensor theories with massless scalar field allowing only small deviations from general relativity. If we consider a nonzero mass of the scalar field,…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Kalin V. Staykov , Dimitar Popchev , Daniela D. Doneva , Stoytcho S. Yazadjiev

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

We study the degrees of freedom in New General Relativity -- flat and metric compatible family of theories -- around the Minkowski background in a gauge invariant manner. First, we confirm the decoupling case, in which the theory reduces to…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Sebastian Bahamonde , Daniel Blixt , Konstantinos F. Dialektopoulos , Anamaria Hell

Gravity in nonlinear and dynamical regimes underpins spectacular astrophysical phenomena and observable consequences, from the early universe to black hole collisions. In these extreme environments, inverse energy cascades - mediated by…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Sizheng Ma , Luis Lehner , Huan Yang , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel

We study two (massless free field) models, a photon/photino model with a vector gauge field and a Majorana spinor field, and a Wess-Zumino model. They each exhibit Lorentz symmetry violation but retain, in an appropriate way, the…

High Energy Physics - Theory · Physics 2023-06-22 I. T. Drummond

Detailed study of spectral properties and of linear stability is presented for a class of lattice Boltzmann models with a non-ideal equation of state. Examples include the van der Waals and the shallow water models. Both analytical and…

Numerical Analysis · Mathematics 2025-03-12 S. A. Hosseini , I. V. Karlin

We discuss mimetic gravity theories with direct couplings between the curvature and higher derivatives of the scalar field, up to the quintic order, which were proposed to solve the instability problem for linear perturbations around the…

General Relativity and Quantum Cosmology · Physics 2019-12-18 Alexander Ganz , Nicola Bartolo , Sabino Matarrese

Discussed is relationship between nonlinearity and symmetry of dynamical models. The special stress is laid on essential, non-perturbative nonlinearity, when none linear background does exist. This is nonlinearity essentially different from…

Mathematical Physics · Physics 2010-03-17 Jan Jerzy Sławianowski , Vasyl Kovalchuk

We study the dimensional reduction for a $(3+1)$-dimensional Lorentz Violating Lagrangian in the matter and gauge sectors in a Supersymmetric scenario. We thus obtain an effective model for photons induced by the effects of supersymmetry in…

High Energy Physics - Theory · Physics 2020-04-22 L. D. Bernal , Patricio Gaete , Y. P. M. Gomes , José A. Helayël-Neto

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…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Alan Kostelecky , Robertus Potting

Lorentz invariance, the fundamental symmetry of Einstein's theory of Special Relativity, has been established and tested by many classical and modern experiments. However, many theories that unify the Standard Model of particle physics and…

High Energy Astrophysical Phenomena · Physics 2016-08-15 Fabian Kislat , Henric Krawczynski

Lorentz Invariance violation is a common feature of new physics beyond the standard model. We show that the symmetry of Randers spaces deduces a modified dispersion relation with characteristics of Lorentz Invariance violation. The…

High Energy Physics - Theory · Physics 2008-04-07 Zhe Chang , Xin Li

Lorentz violation modifies the dispersion relation of gravitational waves (GWs), and induces birefringence and anisotropy in propagation. Our study shows that Lorentz violation can also activate multiple polarizations of GWs. We use the…

General Relativity and Quantum Cosmology · Physics 2022-12-20 Dicong Liang , Rui Xu , Xuchen Lu , Lijing Shao

Lorentz invariance plays a fundamental role in modern physics. However, tiny violations of the Lorentz invariance may arise in some candidate quantum gravity theories. Prominent signatures of the gravitational Lorentz invariance violation…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Ziming Wang , Lijing Shao , Chang Liu

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

The assumption of Lorentz invariance is one of the founding principles of Modern Physics and violation of it would have profound implications to our understanding of the universe. For instance, certain theories attempting a unified theory…

High Energy Astrophysical Phenomena · Physics 2019-08-14 Michael Daniel