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A review is given of the theory of non-inertial frames (with the associated inertial effects and the study of the non-relativistic limit) in Minkowski space-time, of parametrized Minkowski theories and of the rest-frame instant form of…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Luca Lusanna

We investigate the non-perturbative degrees of freedom of a class of weakly non-local gravitational theories that have been proposed as an ultraviolet completion of general relativity. At the perturbative level, it is known that the degrees…

High Energy Physics - Theory · Physics 2019-07-05 Gianluca Calcagni , Leonardo Modesto , Giuseppe Nardelli

In the s-wave approximation the 4D Einstein gravity with scalar fields can be reduced to an effective 2D dilaton gravity coupled nonminimally to the matter fields. We study the leading order (tree level) vertices. The 4-particle matrix…

General Relativity and Quantum Cosmology · Physics 2009-11-07 P. Fischer , D. Grumiller , W. Kummer , D. V. Vassilevich

An approach is developed which enables one to analyze gravitational effects without usage of any concrete model of geometry (or a class of models of geometry) of space-time and even without any coordinate system. Instead, the formalism of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael B. Mensky

Previous work has developed the theory of linearized gravitational wave (GW) interactions with matter using the Bondi-Sachs formalism, but with the perturbations restricted to be quadrupolar, i.e., the angular dependence is spherical…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Ulrich K. Beckering Vinckers , Nigel T. Bishop

We study gravitational shock waves using scattering amplitude techniques. After first reviewing the derivation in General Relativity as an ultrarelativistic boost of a Schwarzschild solution, we provide an alternative derivation by…

High Energy Physics - Theory · Physics 2020-12-03 Andrea Cristofoli

I propose that the proper framework for gravitational scattering theory is the rep- resentation theory of the super-BMS algebra of Awada, Gibbons and Shaw[1], and its generalizations. Certain representation spaces of these algebras…

High Energy Physics - Theory · Physics 2014-03-17 T. Banks

The construction of amplitudes on curved space-times is a major challenge, particularly when the background has non-constant curvature. We give formulae for all tree-level graviton scattering amplitudes in curved self-dual radiative…

High Energy Physics - Theory · Physics 2023-05-11 Tim Adamo , Lionel Mason , Atul Sharma

We use Effective Field Theory techniques to derive the quadrupole-quadrupole part of the gravitational wave, obtaining a waveform in agreement with previous results found within the multipolar-post-Minkowskian method. In particular we…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Gabriel Luz Almeida , Alan Müller , Stefano Foffa , Riccardo Sturani

In this paper, we explore how a massless Tachyon field, when non-minimally coupled to gravity, affects gravitational memory, soft theorems, and symmetries near null infinity. We set up the model using both the Jordan and Einstein frames,…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Pouneh Safarzadeh Ilkhchi , Amin Rezaei Akbarieh , Ali Seraj

The memory effect is a prediction of general relativity on the same footing as the existence of gravitational waves. The memory effect is understood at future null infinity as a transition induced by null radiation from a Poincar\'e vacuum…

High Energy Physics - Theory · Physics 2016-11-15 Geoffrey Compère

Motivated by the completion of the fourth post-Newtonian (4PN) gravitational-wave generation from compact binary systems, we analyze and contrast different constructions of the metric outside an isolated system, using post-Minkowskian…

General Relativity and Quantum Cosmology · Physics 2023-05-23 David Trestini , François Larrouturou , Luc Blanchet

Gravitational-wave memory is a low-frequency, non-oscillatory component of the radiation field that provides a potentially powerful but as yet undetected probe of strong-field gravity. We present the first calculation of gravitational…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Silvia Gasparotto , Jann Zosso , Llibert Aresté Saló , Daniela D. Doneva , Stoytcho S. Yazadjiev

The purpose of this paper is to prove some results about quantum mechanical black box scattering in even dimensions $d \geq 2$. We study the scattering matrix and prove some identities which hold for its meromorphic continuation onto…

Mathematical Physics · Physics 2013-07-23 T. J. Christiansen , P. D. Hislop

We explain the recent results on the displacement memory effect (DME) of plane gravitational waves using supersymmetric quantum mechanics. This novel approach stems from that both the geodesic and the Schr\"odinger equations are…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Erdal Catak , Mahmut Elbistan , Mustafa Mullahasanoglu

New structural properties of post-Minkowskian (PM) gravity are derived, notably within its effective one body (EOB) formulation. Our results concern both the mass dependence, and the high-energy behavior, of the classical scattering angle.…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Thibault Damour

We show that if the visible universe is a membrane embedded in a higher-dimensional space, particles in uniform motion radiate gravitational waves because of spacetime lumpiness. This phenomenon is analogous to the electromagnetic…

High Energy Physics - Theory · Physics 2008-11-26 Vitor Cardoso , Marco Cavaglia , Mario Pimenta

We revisit gravitational wave (GW) memory as the key to measuring spacetime symmetries, extending beyond its traditional role in GW searches. In particular, we show how these symmetries may be probed via displacement and spin memory…

General Relativity and Quantum Cosmology · Physics 2024-06-17 Boris Goncharov , Laura Donnay , Jan Harms

Ehlers and Kundt [1] argued in favor of the velocity effect: particles initally at rest hit by a burst of gravitational waves should fly apart with constant velocity after the wave has passed. Zel'dovich and Polnarev [2] suggested instead…

General Relativity and Quantum Cosmology · Physics 2025-05-14 P. -M. Zhang , Q. -L. Zhao , M. Elbistan , P. A. Horvathy

The perturbed Friedmann-Lemaitre-Robertson-Walker models allow many different possibilities for the 3-manifold of the comoving spatial section of the Universe. It used to be thought that global properties of the spatial section, including…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Boudewijn F. Roukema
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