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We focus on the interaction of a plane gravitational wave with electromagnetic fields and we describe this interaction in the proper detector frame where, thanks to the introduction of Fermi coordinates, it is possible to refer to directly…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Matteo Luca Ruggiero

We propose a generic, phenomenological approach to modifying the dispersion of gravitational waves, independent of corrections to the generation mechanism. This model-independent approach encapsulates all previously proposed…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Rhondale Tso , Maximiliano Isi , Yanbei Chen , Leo Stein

We write the equation of geodesic deviations in the spacetime of $pp$-waves in terms of the Newman-Penrose scalars and apply it to study gravitational waves in quadratic curvature gravity. We show that quadratic curvature gravity $pp$-waves…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Edgard C. de Rey Neto

We consider generalised pp-waves with purely axial torsion, which we previously showed to be new vacuum solutions of quadratic metric-affine gravity. Our analysis shows that classical pp-waves of parallel Ricci curvature should not be…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Elvis Barakovic , Vedad Pasic

Some classes of the so called "travelling wave" solutions of Einstein and Einstein - Maxwell equations in General Relativity and of dynamical equations for massless bosonic fields in string gravity in four and higher dimensions are…

General Relativity and Quantum Cosmology · Physics 2015-11-13 George Alekseev

Plane electromagnetic and gravitational waves interact with particles in such a way as to cause them to oscillate not only in the transverse direction but also along the direction of propagation. The electromagnetic case is usually shown by…

General Physics · Physics 2015-05-27 Gerald E. Marsh

It is proved that accelerating nondiffracting gravitational Airy wave--packets are solutions of linearized gravity. It is also showed that Airy functions are exact solutions to Einstein equations for non--accelerating nondiffracting…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Felipe A. Asenjo , Sergio A. Hojman

We investigate exact plane-fronted gravitational wave (pp-wave) solutions within the framework of shift-symmetric quadratic-order higher-order scalar--tensor (HOST) theories. These solutions represent fully nonlinear radiative spacetimes…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Masato Minamitsuji

The aim of these notes is to give an accessible and self-contained introduction to the theory of gravitational waves as the theory of a relativistic symmetric tensor field in a Minkowski background spacetime. This is the approach of a…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Marco de Cesare , R. Oliveri , J. W. van Holten

Plane waves and pp-waves are well-known universal metrics that solve all metric-based gravitational field equations. Similarly, the Kerr-Schild-Kundt class of metrics is almost universal: all metric-based gravitational field equations…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

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 2008-11-26 Christopher Beetle , Benjamin Bromley , Napoleón Hernández , Richard H. Price

We find exact nonlinear solutions of general relativity that represent twisted gravitational waves (TGWs) in the presence of a cosmological constant. A TGW is a nonplanar wave propagating along a fixed spatial direction with a null Killing…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Hassan Firouzjahi , Bahram Mashhoon

A modified-gravity-type model of two hypothetical massless vector fields is presented. These vector fields are gravitationally coupled to standard matter and an effective cosmological constant. Considered in a cosmological context, the…

High Energy Physics - Theory · Physics 2012-05-10 V. Emelyanov , F. R. Klinkhamer

We give an exact solution of the quadratic gravity in D dimensions. The solution is a plane fronted wave metric with a cosmological constant. This metric solves not only the full quadratic gravity field equations but also the linearized…

High Energy Physics - Theory · Physics 2011-04-22 Ibrahim Gullu , Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

To clarify certain nonlinear properties of strong gravitational field, we investigate cylindrically symmetric gravitational waves that are localized as regular wave packets in the space of radial and time coordinates. The waves are…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Takashi Mishima , Shinya Tomizawa

We obtain exact traveling-wave solutions of the coupled nonlinear partial differential equations that describe the dynamics of two classical scalar fields in 1+1 dimensions. The solutions are kinks interpolating between neighboring vacua.…

Pattern Formation and Solitons · Physics 2014-04-23 Hosho Katsura

We find the explicit forms of the anti-de Sitter plane, anti-de Sitter spherical, and pp waves that solve both the linearized and exact field equations of the most general higher derivative gravity theory in three dimensions. As a…

High Energy Physics - Theory · Physics 2015-10-14 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

The metric for plane gravitational waves is quantized using the Ashtekar field variables. The z axis (direction of travel of the waves) is taken to be the entire real line. Solutions to the constraints are proposed; they involve open-ended…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Donald E. Neville

An exact, plane wave solution of the gravitational field equations is investigated. The source stress tensor is represented by an anisotropic null fluid with energy flux to which the energy density $\rho$ and all pressures are finite…

General Relativity and Quantum Cosmology · Physics 2017-01-03 Hristu Culetu

We construct a plane symmetric, standing gravitational wave for a domain wall plus a massless scalar field. The scalar field can be associated with a fluid which has the properties of `stiff' matter, i.e. matter in which the speed of sound…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Merab Gogberashvili , Shynaray Myrzakul , Douglas Singleton
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