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We construct the massive scalar propagator for planar gravitational wave backgrounds propagating on Minkowski space. We represent the propagator in terms of the Bessel's function of suitably deformed nonlocal distance functions, the…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Rens van Haasteren , Tomislav Prokopec

We prove the global stability of the Minkowski space viewed as the trivial solution of the Einstein-Vlasov system. To estimate the Vlasov field, we use the vector field and modified vector field techniques developed in [FJS15; FJS17]. In…

General Relativity and Quantum Cosmology · Physics 2021-03-24 David Fajman , Jérémie Joudioux , Jacques Smulevici

The detection of gravitational waves (GWs) propagating through cosmic structures can provide invaluable information on the geometry and content of our Universe, as well as on the fundamental theory of gravity. In order to test possible…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Alice Garoffolo , Gianmassimo Tasinato , Carmelita Carbone , Daniele Bertacca , Sabino Matarrese

By using geometric methods and superenergy tensors, we find new simple criteria for the causal propagation of physical fields in spacetimes of any dimension. The method can be applied easily to many different theories and to arbitrary…

General Relativity and Quantum Cosmology · Physics 2010-04-06 G. Bergqvist , J. M. M. Senovilla

We investigate the scalar induced gravitational waves which propagate with a speed different from the speed of light. First, we analytically calculate the expression of the power spectrum of the scalar induced gravitational waves which is…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Jun Li , Guang-Hai Guo

We provide a class of self-adjoint Laplace operators on metric graphs with the property that the solutions of the associated wave equation satisfy the finite propagation speed property. The proof uses energy methods, which are adaptions of…

Mathematical Physics · Physics 2011-06-07 Vadim Kostrykin , Jürgen Potthoff , Robert Schrader

From a classical analysis, it is shown that the nondiffractive accelerating gravitational Airy wave packets are solutions of Einstein equations for their linearized tensor modes in a Friedmann-Lema\^itre-Robertson-Walker cosmological…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Claudio Aravena-Plaza , Víctor Muñoz , Felipe A. Asenjo

We study the noncommutative $U(1)$ gauge theory on the $\kappa$-Minkowski space-time at the semiclassical approximation. We construct exact solutions of the deformed Maxwell equations in vacuum, describing localized signals propagating in a…

General Physics · Physics 2025-11-04 M. A. Kurkov

The properties of gravitational-wave (GW) propagation are modified in alternative theories of gravity and are crucial observables to test gravity at cosmological distance. The propagation speed has already been measured from GW170817 so…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Atsushi Nishizawa , Shun Arai

We propose a novel mechanism to test time variation of the propagation speed of gravitational waves (GWs) in light of GWs astronomy. As the stochastic GWs experience the whole history of cosmic expansion, they encode potential observational…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Yi-Fu Cai , Chunshan Lin , Bo Wang , Sheng-Feng Yan

Gravitational waves offer a key insight into the viability of classes of gravitational theories beyond general relativity. The observational constraints on their speed of propagation can provide strong constraints on generalized classes of…

General Relativity and Quantum Cosmology · Physics 2025-09-11 Shivam Kumar Mishra , Jackson Levi Said , B. Mishra

Gravitational waves (GWs) provide a powerful, theory-independent probe of the dynamical structure of spacetime and the cosmological background. We study linearized GW propagation in k-essence cosmology, where a non-canonical scalar field…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Sougata Bhunia , Eduardo Guendelman , Debashis Gangopadhyay , Ramón Herrera , Abhijit Bhattacharyya , Goutam Manna

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 derive the most general mimetic scalar-tensor theory assuming a healthy "seed" action and accounting for the constraints on the speed of gravitational-wave propagation arising from the GW170817 event. By analysing linear perturbations…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Alexander Ganz , Nicola Bartolo , Purnendu Karmakar , Sabino Matarrese

We numerically investigate the propagation of plane gravitational waves in the form of an initial boundary value problem with de Sitter initial data. The full non-linear Einstein equations with positive cosmological constant $\lambda$ are…

General Relativity and Quantum Cosmology · Physics 2021-05-06 Jörg Frauendiener , Jonathan Hakata , Chris Stevens

The velocity of a passive particle in a one-dimensional wave field is shown to converge in law to a Wiener process, in the limit of a dense wave spectrum with independent complex amplitudes, where the random phases distribution is invariant…

Mathematical Physics · Physics 2012-07-12 Yves Elskens

In this work, we examine the propagation of gravitational waves in cosmological and astrophysical spacetimes in the context of Einstein--Gauss-Bonnet gravity, in view of the GW170817 event. The perspective we approach the problem is to…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou

In this article we use the noncommutative (NC) kappa-Minkowski phi^4 model based on the kappa-deformed star product, ({*}_h). The action is modified by expanding up to linear order in the kappa-deformation parameter a, producing an…

High Energy Physics - Theory · Physics 2015-06-03 S. Meljanac , A. Samsarov , J. Trampetic , M. Wohlgenannt

Exact solutions exist which describe impulsive gravitational waves propagating in Minkowski, de Sitter, or anti-de Sitter universes. These may be either nonexpanding or expanding. Both cases in each background are reviewed here from a…

General Relativity and Quantum Cosmology · Physics 2016-11-09 J. Podolsky

Detection of gravitational waves (GW) provides us an opportunity to test general relativity in strong and dynamical regimes of gravity. One of the tests is checking whether GW propagates with the speed of light or not. This test is crucial…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Atsushi Nishizawa , Takashi Nakamura