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Detections of gravitational waves (GWs) since GW150914 has gained a contemporary interest in a potential quantum-classical correspondence between GWs and hypothetical gravitons. One such correspondence theory is stochastic gravity, whereby…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Noah M. MacKay

Parametrizations for internal gravity waves in atmospheric models are traditionally subject to a number of simplifications. Most notably, they rely on both neglecting wave propagation and advection in the horizontal direction (single-column…

Fluid Dynamics · Physics 2024-02-28 Georg S. Voelker , Gergely Bölöni , Young-Ha Kim , Günther Zängl , Ulrich Achatz

We investigate the question whether small quantum-gravitational effects can be observed in the anisotropy spectrum of the cosmic microwave background radiation. An observation of such an effect is needed in order to discriminate between…

General Relativity and Quantum Cosmology · Physics 2012-10-15 Claus Kiefer , Manuel Kraemer

The propagation of electromagnetic waves in vacuum is often described within the geometrical optics approximation, which predicts that wave rays follow null geodesics. However, this model is valid only in the limit of infinitely high…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Marius A. Oancea , Jérémie Joudioux , I. Y. Dodin , D. E. Ruiz , Claudio F. Paganini , Lars Andersson

The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the form of a Schrodinger equation coupled to a Poisson equation determining the gravitational potential. This wave-mechanical representation…

Astrophysics · Physics 2009-11-07 Peter Coles , Kate Spencer

It is expected that the quantum nature of spacetime leaves its imprint in all semiclassical gravitational systems, at least in certain regimes, including gravitational waves. In this paper we investigate such imprints on gravitational waves…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Andrea Dapor , Klaus Liegener

In this paper we study the effect of rotation on nonlinear wave phenomena in weakly dispersive media modeled by the Korteweg-de Vries equation on the real line. It is well known that smoothing in the case of the KdV equation with periodic…

Analysis of PDEs · Mathematics 2024-04-09 M. B. Erdogan , N. Tzirakis

The Gaia mission offers a new opportunity to search for the low frequency gravitational wave background using astrometric measurements. In this paper, the astrometric effect of gravitational waves is reviewed, with a particular focus on the…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Deyan P. Mihaylov , Christopher J. Moore , Jonathan R. Gair , Anthony Lasenby , Gerard Gilmore

In this work, we explore the possibility that quantum fluctuations induce a topology change, in the context of Gravity's Rainbow. A semi-classical approach is adopted, where the graviton one-loop contribution to a classical energy in a…

General Relativity and Quantum Cosmology · Physics 2014-08-21 Remo Garattini , Francisco S. N. Lobo

Gravitational waves offer an unprecedented opportunity to look into the violent high-energy processes happening during the reheating phase of our Universe. We consider a Hubble-induced phase transition scenario as a source of a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Dario Bettoni , Giorgio Laverda , Asier Lopez-Eiguren , Javier Rubio

Scatterings whose cross sections increase as the cosmic temperature decreases, known as temperature - enhanced scatterings, can have a significant impact on the thermal effective potential of scalar fields responsible for driving…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-16 Arnab Chaudhuri

We investigate the propagation of gravitational waves on a black hole background within the low energy effective field theory of gravity, where effects from heavy fields are captured by higher dimensional curvature operators. Depending on…

High Energy Physics - Theory · Physics 2020-08-05 Claudia de Rham , Jérémie Francfort , Jun Zhang

Reasoning by analogies permeates theoretical developments in physics and astrophysics, motivated by the unreachable nature of many phenomena at play. For example, analogies have been used to understand black hole physics, leading to the…

History and Philosophy of Physics · Physics 2023-12-05 Carla R Almeida , Maxime J Jacquet

In general relativity, the interaction between a black hole and the fields around it (a process known as backreaction) proceeds via the evolution of the black holes mass and angular momentum. Analogue models of gravity, particularly fluid…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Sam Patrick , Harry Goodhew , Cisco Gooding , Silke Weinfurtner

Two new observational windows have been opened to strong gravitational physics: gravitational waves, and very long baseline interferometry. This suggests observational searches for new phenomena in this regime, and in particular for those…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Steven B. Giddings , Seth Koren , Gabriel Treviño

In this work, we investigate the gravitational wave emission from the periodic orbital motion of a test particle around two specific types of black holes in Einstein-\AE{}ther theory, a modified gravity that locally breaks Lorentz symmetry…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Shuo Lu , Tao Zhu

In this paper, we study the relativistic effect on the wave functions for a bouncing particle in a gravitational field. Motivated by the equivalence principle, we investigate the Klein-Gordon and Dirac equations in Rindler coordinates with…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Ar Rohim , Kazushige Ueda , Kazuhiro Yamamoto , Shih-Yuin Lin

We investigate the problem of metric fluctuations in the presence of the vacuum fluctuations of matter fields and critically assess the usual assertion that vacuum energy implies a Planckian cosmological constant. A new stochastic classical…

General Relativity and Quantum Cosmology · Physics 2008-06-19 Charles H. -T. Wang , Paolo M. Bonifacio , Robert Bingham , J. Tito Mendonca

We investigate the evolution of gravitational waves through discontinuous evolution (transition) of the Hubble expansion rate $H(z)$ at a sudden cosmological singularity, which may be due to a transition of the value of the gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-04 Evangelos Achilleas Paraskevas , Leandros Perivolaropoulos

Euler's equations govern the behavior of gravity waves on the surface of an incompressible, inviscid, and irrotational fluid of arbitrary depth. We investigate the spectral stability of sufficiently small-amplitude, one-dimensional Stokes…

Fluid Dynamics · Physics 2022-03-14 Ryan Creedon , Bernard Deconinck , Olga Trichtchenko