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Perturbations around black holes have been an intriguing topic in the last few decades. They are particularly important today, since they relate to the gravitational wave observations which may provide the unique fingerprint of black holes'…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bin Wang

We summarise the physics of first-order phase transitions in the early universe, and the possible ways in which they might come about. We then focus on gravitational waves, emphasising general qualitative features of stochastic backgrounds…

High Energy Physics - Phenomenology · Physics 2026-02-17 Djuna Croon , David J. Weir

This is a popular science article to appear on the "Il Nuovo Saggiatore" magazine of the Italian Physical Society. It aims at introducing a broad audience of physicists to the most recent trends in many-body physics of degenerate quantum…

Quantum Gases · Physics 2012-12-27 Iacopo Carusotto

Icicles with wave patterns on their surfaces can sometimes be seen hanging from roofs of buildings. Surprisingly, most of these wave patterns are at intervals of about 1 cm. The reason for this uniformity of interval has not been clarified.…

Materials Science · Physics 2007-05-23 Naohisa Ogawa , Yoshinori Furukawa

In 1967 D. H. Peregrine proposed a Boussinesq-type model for long waves in shallow waters of varying depth. This prominent paper turned a new leaf in coastal hydrodynamics along with contributions by F. Serre, A. E. Green \& P. M. Naghdi…

Fluid Dynamics · Physics 2020-02-20 Angel Durán , Denys Dutykh , Dimitrios Mitsotakis

Gravitational waves are radiative solutions of space-time dynamics predicted by Einstein's theory of General Relativity. A world-wide array of large-scale and highly sensitive interferometric detectors constantly scrutinizes the geometry of…

General Relativity and Quantum Cosmology · Physics 2019-08-15 Eric Chassande-Mottin

We consider a fifth-order Kadomtsev-Petviashvili equation which arises as a two-dimensional model in the classical water-wave problem. This equation possesses a family of generalized line solitary waves which decay exponentially to periodic…

Analysis of PDEs · Mathematics 2017-12-29 Mariana Haragus , Erik Wahlén

The covariance of the d'Alembert equation for acoustic phenomena -- which is a mechanical wave equation -- under the conventional Galilean transformation is demonstrated without the need to abandon the hypothesis that time is absolute in…

Classical Physics · Physics 2024-03-22 Francisco Caruso , Vitor Oguri , Felipe Silveira

The effect of the existence of tails on the propagation of scalar waves in curved space-time is considered via an analysis of flux integrals of the energy-stress-momentum tensor of the waves. The geometric optics approximation is formulated…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Brien C. Nolan

These lectures on anomalies are relatively self-contained and intended for graduate students who are familiar with the basics of quantum field theory. We begin with several derivations of the abelian anomaly: anomalous transformation of the…

High Energy Physics - Theory · Physics 2008-02-06 Adel Bilal

We introduce and characterize a class of flows, which turn out to be Gaussian. This characterization allows us to show, using the Monotonicity inequality, that the transpose of the flow, for an extended class of initial conditions, is the…

Probability · Mathematics 2016-09-28 Suprio Bhar

The general relativistic Lense-Thirring effect can be measured by inspecting a suitable combination of the orbital residuals of the nodes of LAGEOS and LAGEOS II and the perigee of LAGEOS II. The solid and ocean Earth tides affect the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lorenzo Iorio

It has been found that functions can oscillate locally much faster than their Fourier transform would suggest is possible - a phenomenon called superoscillation. Here, we consider the case of superoscillating wave functions in quantum…

Quantum Physics · Physics 2009-11-10 Achim Kempf , Paulo J. S. G. Ferreira

Einstein's special theory of relativity starts with assumptions about how observations conducted in relatively moving inertial frames must compare. From these assumptions, conclusions can be drawn regarding the laws of physics in any one…

History and Philosophy of Physics · Physics 2015-07-14 Allan Walstad

This is a survey of recent advances in the study of chaotic and spectral properties of smooth area-preserving flows on surfaces, written in occasion of a plenary talk given at the XXI Congress of the Italian Mathematical Union, in Pavia in…

Dynamical Systems · Mathematics 2020-10-14 Corinna Ulcigrai

The current attempt is aimed to honor the first centennial of Johannes Diderik van der Waals (VDW) awarding Nobel Prize in Physics. The VDW theory of ordinary fluids is reviewed in the first part of the paper, where special effort is…

Classical Physics · Physics 2019-11-05 R. Caimmi

The basic laws of geometrical optics can be deduced from energy-momentum conservation for electromagnetic waves, without other wave concepts. However, the concept of quanta is required; it arises naturally, hence such a hypothesis could…

Physics Education · Physics 2007-05-23 John P. Hernandez

An enigmatic prediction of Einstein's general theory of relativity is gravitational waves. With the observed decay in the orbit of the Hulse-Taylor binary pulsar agreeing within a fraction of a percent with the theoretically computed decay…

General Relativity and Quantum Cosmology · Physics 2011-04-18 S. V. Dhurandhar

It is known that the wavelength of the ripples on icicles in nature is of centimeter-scale. Such study on morphological instability of ice-water interface during ice growth from flowing supercooled water film with one side being a free…

Fluid Dynamics · Physics 2015-05-27 K. Ueno

The nascent field of gravitational-wave astronomy offers many opportunities for effective and inspirational astronomy outreach. Gravitational waves, the "ripples in space-time" predicted by Einstein's theory of General Relativity, are…

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