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With laser interferometers, LIGO-Virgo collaboration has recently realized the direct detections of the intermediate-frequency (i.e., from dozens to hundreds of Hertz) gravitational waves (GWs) by probing their mechanically-tidal responses.…

General Relativity and Quantum Cosmology · Physics 2018-09-19 H. Zheng , L. F. Wei , H. Wen , F. Y. Li

The problem of the detection and mapping of a stochastic gravitational wave background (SGWB), either of cosmological or astrophysical origin, bears a strong semblance to the analysis of CMB anisotropy and polarization. The basic statistic…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Sanjit Mitra , Sanjeev Dhurandhar , Tarun Souradeep , Albert Lazzarini , Vuk Mandic , Sukanta Bose , Stefan Ballmer

We present an enhanced method for the application of Gaussian Mixture Modelling (GMM) to the coherent WaveBurst (cWB) algorithm in the search for short-duration gravitational wave (GW) transients. The supervised Machine Learning method of…

General Relativity and Quantum Cosmology · Physics 2024-11-06 Leigh Smith , Sayantan Ghosh , Jiyoon Sun , V. Gayathri , Ik Siong Heng , Archana Pai

We present a new method to approximate the Mori-Zwanzig (MZ) memory integral in generalized Langevin equations (GLEs) describing the evolution of smooth observables in high-dimensional nonlinear systems with local interactions. Building…

Numerical Analysis · Mathematics 2020-03-18 Yuanran Zhu , Daniele Venturi

In this paper, we use the WKB approximation method to approximately solve a deformed Schrodinger-like differential equation: $\left[ -\hbar^{2} \partial_{\xi}^{2}g^{2}\left( -i\hbar\alpha\partial_{\xi}\right) -p^{2}\left( \xi\right) \right]…

General Relativity and Quantum Cosmology · Physics 2017-01-19 Bochen Lv , Peng Wang , Haitang Yang

In this article we derive the equations for a rotating stratified fluid governed by inviscid Euler-Boussinesq and primitive equations that account for the effects of the perturbations upon the mean. Our method is based on the concept of…

Fluid Dynamics · Physics 2018-11-14 Gualtiero Badin , Marcel Oliver , Sergiy Vasylkevych

We apply common gravitational wave inference procedures on binary black hole merger waveforms beyond general relativity. We consider dynamical Chern-Simons gravity, a modified theory of gravity with origins in string theory and loop quantum…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Maria Okounkova , Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

We consider an equation of motion for Glashow-Weinberg-Salam model and apply the semiclassical Hamilton-Jacobi process and WKB approximation in order to compute the tunneling probability of W-bosons in the background of electromagnetic…

General Relativity and Quantum Cosmology · Physics 2022-01-26 Riasat Ali , Muhammad Asgher

We have developed a complete semiclassical Wentzel-Kramers-Brillouin (WKB) theory for $\alpha-\mathcal{T}_3$ model which describes a wide class of existing pseudospin-1 Dirac cone materials. By expanding the sought wave functions in a…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Kathy Blaise , Chinedu Ejiogu , Andrii Iurov , Liubov Zhemchuzhna , Godfrey Gumbs , Danhong Huang

Climate science employs a hierarchy of models, trading the tractability of simplified energy balance models (EBMs) against the detail of Global Circulation Models. Since the pioneering work of Hasselmann, stochastic EBMs have allowed…

Statistical Mechanics · Physics 2020-12-07 Nicholas Watkins , Sandra Chapman , Aleksei Chechkin , Ian Ford , Rainer Klages , David Stainforth

Wave propagation is a common occurrence in all of physics. A linear approximation provides a simpler way to describe various fields related to observable phenomena in laboratory physics as well as astronomy and cosmology, allowing us to…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Lucas T. Santana , João C. Lobato , Ribamar R. R. Reis , Maurício O. Calvão

Many papers on modified gravity theories (MGTs), and metric-affine geometry have been published. New classes of black hole (BH), wormhole (WH), and cosmological solutions involving nonmetricity and torsion fields were constructed.…

General Physics · Physics 2025-06-13 Sergiu I. Vacaru

A future detection of the Stochastic Gravitational Wave Background (SGWB) with GW experiments is expected to open a new window on early universe cosmology and on the astrophysics of compact objects. In this paper we study SGWB anisotropies,…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 N. Bartolo , D. Bertacca , S. Matarrese , M. Peloso , A. Ricciardone , A. Riotto , G. Tasinato

The recent first detection of gravitational waves (GWs) from binary black hole mergers has spurred a renewed interest in possible deviations from General Relativity (GR), since they could be detected in the GWs emitted by such systems. Of…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Hugo Roussille

In the forthcoming years, the study of the fundamental interactions between gravitational waves (GWs) and matter will be crucial in order to understand what the new generations of GWs detectors will tell us. We present the inverse…

High Energy Physics - Phenomenology · Physics 2026-03-19 Víctor Fonoll

We explicitly compute the plasma wave (PW) induced by a plane gravitational wave (GW) travelling through a region of strongly magnetized plasma, governed by force-free electrodynamics. The PW co-moves with the GW and absorbs its energy to…

General Relativity and Quantum Cosmology · Physics 2016-07-29 Fan Zhang

Gravitational wave emission from extreme mass ratio binaries (EMRBs) should be detectable by the joint NASA-ESA LISA project, spurring interest in analytical and numerical methods for investigating EMRBs. We describe a discontinuous…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Scott E. Field , Jan S. Hesthaven , Stephen R. Lau

This paper is a review of previous works on the stochastic background of gravitational waves (SBGWs) which has been discussed in various peer-reviewed journals and international conferences. The SBGWs is analyzed with the aid of the…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-01 Christian Corda

This paper proposes a nonlinear stochastic complementary filter design for inertial navigation that takes advantage of a fusion of Ultra-wideband (UWB) and Inertial Measurement Unit (IMU) technology ensuring semi-global uniform ultimate…

Systems and Control · Electrical Eng. & Systems 2023-08-28 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy , Kyriakos G. Vamvoudakis

In geophysical environments, wave motions that are shaped by the action of gravity and global rotation bear the name of gravito-inertial waves. We present a geometrical description of gravito-inertial surface waves, which are low-frequency…

Analysis of PDEs · Mathematics 2026-04-21 Yves Colin de Verdière , Jérémie Vidal