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Exact plane gravitational radiation fields are presented within the framework of general relativity and their properties are described. The physics of nonlinear elliptically polarized plane gravitational waves is developed in close analogy…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Masoud Molaei , Shant Baghram , Bahram Mashhoon

The first direct detection of gravitational waves has opened a new window to study the Universe and would probably start a new era: the gravitational wave Astronomy. Gravitational waves emitted by compact objects like neutron stars could…

High Energy Astrophysical Phenomena · Physics 2018-12-26 Ignacio F. Ranea-Sandoval , Octavio M. Guilera , Mauro Mariani , Milva G. Orsaria

Gravitational waves deliver information in exquisite detail about astrophysical phenomena, among them the collision of two black holes, a system completely invisible to the eyes of electromagnetic telescopes. Models that predict…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Deirdre Shoemaker , Karan Jani , Lionel London , Larne Pekowsky

The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation is extracted for the strong field, slowly inspiralling…

General Relativity and Quantum Cosmology · Physics 2009-03-24 Napoleon Hernandez , Richard H. Price

This paper provides a comprehensive overview of fundamentals and the latest research progress in gravitational communication, with a detailed historical review of gravitational wave generation and detection. Key aspects covered include the…

General Physics · Physics 2025-01-08 Houtianfu Wang , Ozgur B. Akan

Vacuum gravitational fields invariant for a non Abelian Lie algebra generated by two Killing fields whose commutator is light-like are analyzed. It is shown that they represent nonlinear gravitational waves obeying to two nonlinear…

General Relativity and Quantum Cosmology · Physics 2009-11-07 F. Canfora , G. Vilasi , P. Vitale

We present a new pseudospectral code, bamps, for numerical relativity written with the evolution of collapsing gravitational waves in mind. We employ the first order generalized harmonic gauge formulation. The relevant theory is reviewed…

General Relativity and Quantum Cosmology · Physics 2016-03-23 David Hilditch , Andreas Weyhausen , Bernd Bruegmann

We discuss gravitational waves from merging binaries using a Newtonian approach with some inputs from the Post-Newtonian formalism. We show that it is possible to understand the key features of the signal using fundamental physics and also…

Popular Physics · Physics 2019-12-20 Jahanvi , Ashish Kumar Meena , J. S. Bagla

Symmetric teleparallel gravity (STG) offers an interesting avenue to formulate a theory of gravitation that relies neither on curvature nor torsion but only on non-metricity Q. Given the growing number of observations of gravitational waves…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Ismail Soudi , Gabriel Farrugia , Viktor Gakis , Jackson Levi Said , Emmanuel N. Saridakis

We discuss critical gravitational collapse on the threshold of apparent horizon formation as a model both for the discussion of global aspects of critical collapse and for numerical studies in a compactified context. For our matter model we…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Michael Pürrer , Sascha Husa , Peter C. Aichelburg

This paper aims at developing new shape functions adapted to smooth vanishing coefficients for scalar wave equation. It proposes the numerical analysis of their interpolation properties. The interpolation is local but high order convergence…

Numerical Analysis · Mathematics 2019-08-16 Lise-Marie Imbert-Gerard

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Luc Blanchet

We develop an analytic approach to calculation of the temperature and polarisation power spectra of the cosmic microwave background due to inflationary gravitational waves. This approach complements the more precise numerical results by…

Astrophysics · Physics 2009-11-10 Jonathan R. Pritchard , Marc Kamionkowski

Since their first detection in 2015, gravitational wave observations have enabled a variety of studies, ranging from stellar evolution to fundamental physics. In this chapter, we focus on their use as "standard sirens", describing the…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-04 Antonella Palmese , Simone Mastrogiovanni

We hereby propose an alternative and additional angle on the nature of gravitational waves (GWs), postulating the theoretical and experimental possibility that GWs carry a deformation of the time component of spacetime, other than the…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Stefano Bondani , Sergio Luigi Cacciatori

A problem in nonlinear water-wave propagation on the surface of an inviscid, stationary fluid is presented. The primary surface wave, suitably initiated at some radius, is taken to be a slowly evolving nonlinear cylindrical wave (governed…

Pattern Formation and Solitons · Physics 2007-05-23 S. M. Killen , R. S. Johnson

Gravitational wave predicted by General Relativity is the transverse wave of spatial strain. Several gravitational waveform signals from binary black holes and from a binary neutron star system accompanied by electromagnetic counterparts…

General Relativity and Quantum Cosmology · Physics 2019-05-02 Kai Liao , Marek Biesiada , Xi-Long Fan

Pure gravitational plane waves are considered as a special case of spacetimes with two commuting spacelike Killing vector fields. Starting with a midisuperspace that describes this kind of spacetimes, we introduce gauge-fixing and symmetry…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Guillermo A. Mena Marugan , Manuel Montejo

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Mátyás Vasúth , János Majár

The geometric optics approximation traditionally used to study the propagation of gravitational waves on a curved background, breaks down in the vicinity of compact and extended astrophysical objects, where wave-like effects like diffusion…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-06 Giulia Cusin , Ruth Durrer , Pedro G. Ferreira