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This article contains a detailed and rigorous proof of the construction of a geometric invariant for initial data sets for the Einstein vacuum field equations. This geometric invariant vanishes if and only if the initial data set…

General Relativity and Quantum Cosmology · Physics 2011-01-04 Thomas Bäckdahl , Juan A. Valiente Kroon

We show that the 4+1 dimensional vacuum Einstein equations admit gravitational waves with radial symmetry. The dynamical degrees of freedom correspond to deformations of the three-sphere orthogonal to the $(t,r)$ plane. Gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Piotr Bizoń , Tadeusz Chmaj , Bernd G. Schmidt

A possible generalization of plane fronted waves with parallel rays (gpp-wave) fall into a more general class of metrics admitting parallel null 1-planes. For gpp-wave metric, the zero-curvature condition is given, the Killing-Yano tensors…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Baleanu , S. Baskal

We describe the global dynamics of some pointwise periodic piecewise linear maps in the plane that exhibit interesting dynamic features. For each of these maps we find a first integral. For these integrals the set of values are discrete,…

Dynamical Systems · Mathematics 2022-01-24 Anna Cima , Armengol Gasull , Víctor Mañosa , Francesc Mañosas

A short introduction to structure formation is given, followed by a discussion of the possible characteristics of the initial perturbations assuming a generic inflationary origin. Observational data related to large-scale structure and the…

Astrophysics · Physics 2014-10-13 Pedro Viana

The order of the post-Newtonian expansion needed, to extract in a reliable and accurate manner the fully general relativistic gravitational wave signal from inspiralling compact binaries, is explored. A class of approximate wave forms,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

Partial Wave Analysis has traditionally been carried out using a set of tools handcrafted for each experiment. By taking an object-oriented approach, the design presented in this paper attempts to create a more generally useful, and easily…

Data Analysis, Statistics and Probability · Physics 2007-05-23 John P. Cummings , Dennis P. Weygand

Two-dimensional free-surface potential flows of an ideal fluid over a strongly inhomogeneous bottom are investigated with the help of conformal mappings. Weakly-nonlinear and exact nonlinear equations of motion are derived by the…

Fluid Dynamics · Physics 2016-09-08 V. P. Ruban

A new description for highly nonlinear potential water waves is suggested, where weak 3D effects are included as small corrections to exact 2D equations written in conformal variables. Contrary to the traditional approach, a small parameter…

Fluid Dynamics · Physics 2009-11-11 Victor P. Ruban

Propagation of gravitational and acoustic plane waves in a flat universe filled with a general relativistic, homogeneous and isotropic, spatially flat continuum is studied. The continuum is described by analogues of nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vratko Polák , Vladimír Balek

A physical interpretation is presented of the general class of conformally flat pure radiation metrics that has recently been identified by Edgar and Ludwig. It is shown that, at least in the weak field limit, successive wave surfaces can…

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

The video describes initial stages of spatial and temporal evolution of wind generated waves. This fluid dynamics video was created at Tel Aviv University small scale wind-wave flume as a part of an ongoing experimental program aimed at…

Fluid Dynamics · Physics 2011-10-14 Andrey Zavadsky , Dan Liberzon , Lev Shemer

The main problem that we will face in the data analysis for continuous gravitational-wave sources is processing of a very long time series and a very large parameter space. We present a number of analytic and numerical tools that can be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrzej Krolak

Frequency-domain filters for time-windowed gravitational waves from inspiralling compact binaries are constructed which combine the excellent performance of our previously developed time-domain P-approximants with the analytic convenience…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

We present a numerical study of spatially quasi-periodic gravity-capillary waves of finite depth in both the initial value problem and traveling wave settings. We adopt a quasi-periodic conformal mapping formulation of the Euler equations,…

Fluid Dynamics · Physics 2023-05-09 Jon Wilkening , Xinyu Zhao

The quantum shutter approach to tunneling time scales (G. Garc\'{\i }a-Calder\'{o}n and A. Rubio, Phys. Rev. A \textbf{55}, 3361 (1997)), which uses a cutoff plane wave as the initial condition, is extended in such a way that a certain type…

Quantum Physics · Physics 2016-08-16 Norifumi Yamada , Gastón García-Calderón , Jorge Villavicencio

The discrete wave equation in a multidimensional uniform space with local defects and sources is considered. The characterization of all possible defect configurations corresponding to given amplitudes of waves at the receivers (detectors)…

Mathematical Physics · Physics 2016-04-28 Anton A. Kutsenko

The structure of QCD vacuum can be studied from first principles using lattice-regularized theory. This line of research entered a qualitatively new phase recently, wherein the space-time structure (at least for some quantities) can be…

High Energy Physics - Lattice · Physics 2010-11-05 Ivan Horvath

We investigate the gravitational wave background from a first order phase transition in a matter-dominated universe, and show that it has a unique feature from which important information about the properties of the phase transition and…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-29 Gabriela Barenboim , Wan-Il Park

We study primordial gravitational waves (GWs) generated from first-order phase transitions (PTs) during cosmic reheating. Using a minimal particle physics model, and a general parametrization of the inflaton energy density and the evolution…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-04 Amitayus Banik , Nicolás Bernal , Fazlollah Hajkarim