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By precisely monitoring the "ticks" of Nature's most precise clocks (millisecond pulsars), scientists are trying to detect the "ripples in spacetime" (gravitational waves) produced by the inspirals of supermassive black holes in the centers…

Physics Education · Physics 2018-10-17 Michael T. Lam , Joseph D. Romano , Joey S. Key , Marc Normandin , Jeffrey S. Hazboun

This article produces wave equations and constructs traveling wave solutions that are intimately related to Newton's equations of celestial mechanics. The traveling wave solutions are expressed in ``closed form'' in terms of elementary…

Mathematical Physics · Physics 2024-05-24 Harry Gingold , Jocelyn Quaintance

New expanding, axisymmetric pure-radiation solutions are found, exploiting the analogy with the Euler-Darboux equation for aligned colliding plane waves.

General Relativity and Quantum Cosmology · Physics 2009-11-07 B. V. Ivanov

We study the evolution of gravitational waves for non-singular cosmological solutions within the framework of Born-Infeld inspired gravity theories, with special emphasis on the Eddington-inspired Born-Infeld theory. We review the existence…

High Energy Physics - Theory · Physics 2018-07-04 Jose Beltran Jimenez , Lavinia Heisenberg , Gonzalo J. Olmo , Diego Rubiera-Garcia

We discuss the possibility that, besides the usual gravitational lensing, there may exist a sort of gravitational waveguiding in cosmology which could explain some anomalous phenomena which cannot be understood by the current gravitational…

A systematic asymptotic expansion is developed for the gravitational wave degrees of freedom of a class of expanding, vacuum Gowdy cosmological spacetimes. In the wave map description of these models, the evolution of the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Beverly K. Berger

We describe a large class of solutions in pure gravity, dilaton gravity and supergravity corresponding to extended higher-dimensional black holes with strong (non-linear) gravitational waves propagating along their worldvolume. For pure…

High Energy Physics - Theory · Physics 2011-04-29 Li-Ming Cao , Oleg Evnin , Nobuyoshi Ohta

We study a collapsing system attracted by a spherically symmetric gravitational source, with an increasing mass, that generates back-reaction effects that are the source of space-time waves. As an example, we consider an exponential…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Jaime Mendoza Hernandez , Mauricio Bellini , Claudia Moreno

Cosmological phase transitions are a frequent phenomenon in particle physics models beyond the Standard Model, and the corresponding gravitational wave signal offers a key probe of new physics in the early Universe. Depending on the…

High Energy Physics - Phenomenology · Physics 2026-03-24 Giulio Barni , Simone Blasi , Eric Madge , Miguel Vanvlasselaer

The hypothesis of an alternative way of obtaining gravitational waves is the physical motivation of this article. Using the linear field approximation and a symmetry transformation of the affine connection, new field equations and new gauge…

General Physics · Physics 2022-09-14 Sergio Giardino

Cylindrically symmetric analogue of the Volkov problem is examined. In presence of the field of a cylindrical electromagnetic wave, classical motion of a non-relativistic particle on a cylindrical surface is described exactly in terms of…

Mathematical Physics · Physics 2011-12-01 E. M. Ovsiyuk

A quasi-spherical approximation scheme, intended to apply to coalescing black holes, allows the waveforms of gravitational radiation to be computed by integrating ordinary differential equations.

General Relativity and Quantum Cosmology · Physics 2009-12-30 Sean A. Hayward

The prospects for detection of gravitational waves from precessing pulsars have been considered by constructing fully relativistic rotating neutron star models and evaluating the expected wave amplitude $h$ from a galactic source. For a…

Astrophysics · Physics 2016-06-08 J. C. N. de Araújo , J. A. de Freitas Pacheco , J. E. Horvath , M. Cattani

Exact solutions are obtained in the quadratic theory of gravity with a scalar field for wave-like models of space-time with spatial homogeneity symmetry and allowing the integration of the equations of motion of test particles in the…

General Relativity and Quantum Cosmology · Physics 2022-03-10 K. E. Osetrin , I. V. Kirnos , E. K. Osetrin , A. E. Filippov

We give a higher even dimensional extension of vacuum colliding gravitational plane waves with the combinations of collinear and non-collinear polarized four-dimensional metric. The singularity structure of space-time depends on the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Metin Gurses , Emre O. Kahya , Atalay Karasu

We undertake a careful analysis of stochastic gravitational wave production from cosmological phase transitions in an expanding universe, studying both a standard radiation as well as a matter dominated history. We analyze in detail the…

High Energy Physics - Phenomenology · Physics 2021-01-07 Huai-Ke Guo , Kuver Sinha , Daniel Vagie , Graham White

We study the gravitational waves in spacetimes of arbitrary dimension. They generalize the pp-waves and the Kundt waves, obtained earlier in four dimensions. Explicit solutions of the Einstein and Einstein-Maxwell equations are derived for…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

We construct infinitely many real-valued, time-periodic breather solutions of power-type nonlinear wave equations. These solutions are obtained from critical points of a dual functional and they are weakly localized in space. Our abstract…

Analysis of PDEs · Mathematics 2021-08-11 Rainer Mandel , Dominic Scheider

The Robinson-Trautman type N solutions, which describe expanding gravitational waves, are investigated for all possible values of the cosmological constant Lambda and the curvature parameter epsilon. The wave surfaces are always…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. B. Griffiths , J. Podolsky , P. Docherty

The quantum gravity effects of vacuum polarization of gravitons propagating in a curved spacetime cause the quantum vacuum to act as a dispersive medium with a refractive index. Due to this dispersive medium gravitons acquire superluminal…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-11 J. W. Moffat