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We study the scattering of a graviton on a gravitational atom. By gravitational atom we mean a quantum mechanical system of a gravitational (bound) state of two massive particles, with possibly some boundary conditions (such as bouncing on…

High Energy Physics - Theory · Physics 2025-06-17 Benjamin Avila-Lopez , Richard MacKenzie , Fernando Mendez , M. B. Paranjape

We develop a fully gauge invariant analysis of gravitational wave polarizations in metric f(R) gravity with a particular focus on the modified Starobinsky model, whose constant curvature solution provides a natural deSitter background for…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Ramesh Radhakrishnan , David McNutt , Delaram Mirfendereski , Alejandro Pinero , Eric Davis , William Julius , Gerald Cleaver

We discuss an approach to gravitational waves based on Geometric Algebra and Gauge Theory Gravity. After a brief introduction to Geometric Algebra (GA), we consider Gauge Theory Gravity, which uses symmetries expressed within the GA of flat…

General Relativity and Quantum Cosmology · Physics 2019-12-13 Anthony N. Lasenby

The metric ansatz is used to describe the gravitational field of a beam-pulse of spinning radiation (gyraton) in an arbitrary number of spacetime dimensions D. First we demonstrate that this metric belongs to the class of metrics for which…

High Energy Physics - Theory · Physics 2009-11-11 Valeri P. Frolov , Werner Israel , Andrei Zelnikov

Propagation of light in the gravitational field of self-gravitating spinning bodies moving with arbitrary velocities is discussed. The gravitational field is assumed to be "weak" everywhere. Equations of motion of a light ray are solved in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei Kopeikin , Bahram Mashhoon

We discuss dynamical aspects of gravitational plane waves in Einstein theory with massless scalar fields. The general analytic solution describes colliding gravitational waves with constant polarization, which interact with scalar waves…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Jorge G. Russo

We investigate the gravitational wave background induced by the first order scalar perturbations in the curvaton models. We consider the quadratic and axion-like curvaton potential which can generate the blue-tilted power spectrum of…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-09 Masahiro Kawasaki , Naoya Kitajima , Shuichiro Yokoyama

Impulsive gravitational waves are (weak) solutions to the Einstein vacuum equations such that the Riemann curvature tensor admits a delta singularity along a null hypersurface. The interaction of impulsive gravitational waves is then…

General Relativity and Quantum Cosmology · Physics 2021-06-11 Jonathan Luk , Maxime Van de Moortel

We provide universal expressions for the classical piece of the amplitude given by the graviton/photon exchange between massive particles of arbitrary spin, at both tree and one loop level. In the gravitational case this leads to higher…

High Energy Physics - Theory · Physics 2021-10-20 Alfredo Guevara

In this paper, we initiate the rigorous mathematical study of the problem of impulsive gravitational spacetime waves. We construct such spacetimes as solutions to the characteristic initial value problem of the Einstein vacuum equations…

General Relativity and Quantum Cosmology · Physics 2014-07-21 Jonathan Luk , Igor Rodnianski

Aspects of super-planckian gravitational scattering and black hole formation are investigated, largely via a partial-wave representation. At large and decreasing impact parameters, amplitudes are expected to be governed by single graviton…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings , Mark Srednicki

A method is given which renders indirect detection of strong gravitational waves possible. This is based on the reflection (collision) of a linearly polarized electromagnetic shock wave from (with) a cross polarized impulsive and shock…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mustafa Halilsoy , Ozay Gurtug

Exact solutions of Einstein's vacuum equations are considered which describe gravitational waves with distinct wavefronts. A family of such solutions presented recently in which the wavefronts have various geometries and which propagate…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G A Alekseev , J B Griffiths

The tails of gravitational waves are caused by scattering of linear waves onto the space-time curvature generated by the total mass-energy of the source. Quite naturally, the tails of tails are caused by curvature scattering of the tails of…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Luc Blanchet

We study gravitational waves from a spinning test particle scattered by a relativistic star using a perturbation method. The present analysis is restricted to axial modes. By calculating the energy spectrum, the waveforms and the total…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kazuhiro Tominaga , Motoyuki Saijo , Kei-ichi Maeda

We compute the conservative and radiation-reaction contributions to classical observables in the gravitational scattering between a spinning and a spinless black hole to the fourth order in spin and third order in the gravitational…

High Energy Physics - Theory · Physics 2025-07-31 Dogan Akpinar , Fernando Febres Cordero , Manfred Kraus , Alexander Smirnov , Mao Zeng

We investigate the gravitational multipole structure derived from scattering amplitudes in both four- and higher-dimensional spacetimes, with particular focus on the five-dimensional case. We develop a systematic procedure to extract…

High Energy Physics - Theory · Physics 2026-05-07 Francesco Campanella , Fabio Riccioni

We present a comprehensive theoretical framework for gravitational wave (GW) propagation and their \textbf{nonlinear backreaction} in $f(R, G)$ modified gravity. By developing a scalar-tensor formulation with two auxiliary fields, we…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Farzad Milani

The possibility of forming gravitational-wave sources with high center-of-mass (c.m.) velocities in the vicinity of supermassive black holes requires us to develop a method of deriving the waveform in the observer's frame. Here we show that…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Han Yan , Xian Chen , Alejandro Torres-Orjuela

In this account we investigate an asymptotically flat space-time geometry. In particular, we focus on a pure gravity model with cylindrical symmetry where no matter fields are included. The Einstein-Rosen metric is introduced and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrea Macrina
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