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We consider spatially coupled systems governed by a set of scalar density evolution equations. Such equations track the behavior of message-passing algorithms used, for example, in coding, sparse sensing, or constraint-satisfaction…

Information Theory · Computer Science 2017-01-16 Rafah El-Khatib , Nicolas Macris

Self-phase modulation of spherical gravitational wavepackets propagating in a flat space-time in the presence of a tenuous distribution of matter is considered. Analogies with respect to similar effects in nonlinear optics are explored.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. T. Mendonca , V. Cardoso , M. Marklund , M. Servin , G. Brodin

In the framework of general relativity (GR), gravitational waves (GWs) travel at the speed of light across all frequencies. However, massive gravity and weak equivalence principle (WEP) violation may lead to frequency-dependent variations…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Xian-Liang Wang , Shu-Cheng Yang , Wen-Biao Han

The propagation of a massless field in attractive and repulsive potentials is considered. It is shown that though the group velocity in such potentials can be larger than one, the wave front propagates with the speed of light. A…

High Energy Physics - Theory · Physics 2009-10-30 A. D. Dolgov , I. B. Khriplovich

Probing the relative speeds of gravitational waves and light acts as an important test of General Relativity and alternative theories of gravity. Measuring the arrival time of gravitational waves and electromagnetic counterparts can be used…

High Energy Astrophysical Phenomena · Physics 2017-03-08 Thomas E. Collett , David Bacon

Theories of modified gravity suggest that the propagation speed of gravitational wave (GW) $v_g$ may deviate from the speed of light $c$. A constraint can be placed on the difference between $c$ and $v_g$ with a simple method that uses the…

High Energy Astrophysical Phenomena · Physics 2024-08-26 Jin-Hui Rao , Shu-Xu Yi , Lian Tao , Qing-Wen Tang

A Gaussian beam method is presented for the analysis of the energy of the high frequency solution to the mixed problem of the scalar wave equation in an open and convex subset, with initial conditions compactly supported in this set, and…

Analysis of PDEs · Mathematics 2011-02-15 Jean-Luc Akian , Radjesvarane Alexandre , Salma Bougacha

We derive a fully relativistic, self-similar solution to describe the propagation of a shock along an exponentially decreasing atmosphere, in the limit of very large Lorentz factor. We solve the problem in planar symmetry and compute the…

Astrophysics · Physics 2009-11-07 Rosalba Perna , Mario Vietri

We consider wave packets of a massless scalar field that have well-localized Rindler energy, and examine how their energy appears to a Minkowski observer to study how the classical gravitational red-shift formula is modified quantum…

High Energy Physics - Theory · Physics 2025-09-29 Shono Shibuya , Sotaro Sugishita

We present a study on the energy radiation rate and waveforms of the gravitational wave generated by coalescing spinless binary systems up to the third post-Minkowskian approximation in the effective one-body theory. To derive an analytical…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Sheng Long , Weike Deng , Jiliang Jing

By applying Noether symmetry methods, analytic solutions are obtained for a generalized Einstein-scalar-Gauss-Bonnet model with a $\xi(\phi)f(G)$ component. Variation with respect to the metric, supplemented by small perturbations, produces…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Olga Razina , Dauren Rakhatov , Pyotr Tsyba , Emilio Elizalde

We analyze wavepacket propagation in traveling wave tubes (TWTs) analytically and numerically. TWT design in essence comprises a pencil-like electron beam in vacuum interacting with an electromagnetic wave guided by a slow-wave structure…

Plasma Physics · Physics 2025-04-22 Kasra Rouhi , Filippo Capolino , Alexander Figotin

The problem of radiation by the charged particles of the intergalactic medium (IGM) when a passing gravitational wave (GW) accelerate them is investigated. The largest acceleration (taking a charge from rest to a maximum speed which remains…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Richard Lieu , Kristen Lackeos , Bing Zhang

The propagation of a weak probe field in a four-level N-type quantum system in the presence of spontaneously generated coherence (SGC) is theoretically investigated. The optical properties of the system are studied and it is shown that the…

Atomic and Molecular Clusters · Physics 2013-03-05 Lida Ebrahimi Zohravi , Majid Abedi , Mohammad Mahmoudi

Space-time wavepackets (STWPs) have received significant attention since they can propagate in free space at arbitrary group velocity without dispersion and diffraction. However, at present, the generation of STWPs has been limited to the…

Optics · Physics 2024-09-19 Dongha Kim , Cheng Guo , Peter B. Catrysse , Shanhui Fan

We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov system in wave coordinates. In contrast with previous work on the subject, no compact support assumptions on the initial data of the Vlasov…

Analysis of PDEs · Mathematics 2022-09-27 Léo Bigorgne , David Fajman , Jérémie Joudioux , Jacques Smulevici , Maximilian Thaller

Minkowski spacetime is a convenient setting for the study of the relativistic dynamics of particles and fields in the vacuum. In order to study events that occur in a dielectric or other linear medium, we adopt the familiar continuum…

Classical Physics · Physics 2009-02-27 Michael E. Crenshaw

We explicitly demonstrate that the known solutions for expanding impulsive spherical gravitational waves that have been obtained by a "cut and paste" method may be considered to be impulsive limits of the Robinson-Trautman vacuum type N…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky , J. B. Griffiths

We investigate the gravitational wave polarization modes and stability in Weyl geometry gravity within a Minkowski background. Our results indicate that the tensor sector consists of two standard modes propagating at the speed of light.…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Yu-Zhi Fan , Xiao-Bin Lai , Yu-Qi Dong , Yu-Xiao Liu

We consider a wave equation with a time-dependent propagation speed, whose potential oscillations are controlled through bounds on its first and second derivatives and by limiting the integral of the difference with a fixed constant. We…

Analysis of PDEs · Mathematics 2024-10-16 Marina Ghisi , Massimo Gobbino
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