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When dealing with highly accurate modeling of time and frequency transfers into arbitrarily moving dielectrics medium, it may be convenient to work with Gordon's optical spacetime metric rather than the usual physical spacetime metric.…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Adrien Bourgoin

We introduce an approximation to calculate the gravitational radiation produced by the collision of true-vacuum bubbles that is simple enough to allow the simulation of a phase transition by the collision of hundreds of bubbles. This…

Astrophysics · Physics 2008-11-26 Arthur Kosowsky , Michael S. Turner

It has long been known that gravitational waves from compact binary coalescing sources are responsible for a first-order displacement memory effect experienced by a pair of freely falling test masses. This constant displacement is sourced…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Atul K. Divakarla , Bernard F. Whiting

The gravitational wave memory effect is a prediction of general relativity. The presence of memory effect in gravitational wave signals not only provides the chance to test an important aspect of general relativity, but also represents a…

General Relativity and Quantum Cosmology · Physics 2023-02-17 Shuo Sun , Changfu Shi , Jian-dong Zhang , Jianwei Mei

Gravitational wave (GW) memory, a permanent distortion of the space-time metric, is anticipated during the acceleration of relativistic jets in gamma-ray bursts (GRBs). While the precise mechanism behind GRBs is not yet fully understood,…

High Energy Astrophysical Phenomena · Physics 2025-09-23 Yusuke Sakai , Ryo Yamazaki , Yoshihiro Okutani , Satsuki Ueno , Norichika Sago , Marco Meyer-Conde , Hirotaka Takahashi

Static observers remain on Killing-vector world lines and measure the rest-mass+kinetic energies of particles moving past them, and the flux of that mechanical energy through space and time. The total mechanical energy is the total flux…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Joseph Katz , Donald Lynden-Bell , Jiri Bicak

We investigate the behavior of massless scalar, electromagnetic, and linearized gravitational perturbations near null infinity in d \geq 4 dimensional Minkowski spacetime (of both even and odd dimension) under the assumption that these…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Gautam Satishchandran , Robert M. Wald

We characterise the geometrical nature of smooth supertranslations defined on a generic non-expanding horizon (NEH) embedded in vacuum. To this end we consider the constraints imposed by the vacuum Einstein's equations on the NEH structure,…

High Energy Physics - Theory · Physics 2018-02-14 Kepa Sousa , Guillermo Milans del Bosch , Borja Reina

The energy-loss formula of the production of gravitons by the binary is derived in the source theory formulation of gravity. Then, the quantum energy-loss formula involving radiative corrections is derived. We postulate an idea that…

High Energy Physics - Phenomenology · Physics 2007-05-23 Miroslav Pardy

Quantum fields possess zero-point or vacuum fluctuations which induce mechanical effects, namely generalised Casimir forces, on any scatterer. Symmetries of vacuum therefore raise fundamental questions when confronted with the principle of…

Quantum Physics · Physics 2007-05-23 Marc-Thierry Jaekel , Serge Reynaud

Using the Sparling form and a geometric construction adapted to spacetimes with a 2-dimensional isometry group, we analyse a quasi-local measure of gravitational energy. We then study the gravitational radiation through spacetime junctions…

General Relativity and Quantum Cosmology · Physics 2018-11-27 Alfonso García-Parrado , Filipe C. Mena

Gravitational radiation plays an important role in astrophysics. Based on the fact that our universe is expanding, the gravitational radiation when a positive cosmological constant is presented has been studied along with two different ways…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Xiaokai He , Jiliang Jing , Zhoujian Cao

In some models of quantum gravity, space-time is thought to have a foamy structure with non-trivial optical properties. We probe the possibility that photons propagating in vacuum may exhibit a non-trivial refractive index, by analyzing the…

Astrophysics · Physics 2008-11-26 J. Ellis , N. E. Mavromatos , D. V. Nanopoulos , A. S. Sakharov

The memory effect at null infinity, $\mathcal{I}^+$, can be defined in terms of the permanent relative displacement of test particles (at leading order in $1/r$) resulting from the passage of a burst of gravitational radiation. In $D=4$…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Adel A. Rahman , Robert M. Wald

In this manuscript, we study the nearly flat approximation of a conformally invariant gravitational theory in metric measure space (MMS). In addition, we investigate the transformation of the energy-momentum tensor in this context and…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Samaneh Oghbaiee , Nafiseh Rahmanpour , Hossein Shojaie

We study gravitational radiation for a positive value of the cosmological constant $\Lambda$. We rely on two battle-tested procedures: (i) We start from the same null coordinate system used by Bondi and Sachs for $\Lambda = 0$, but,…

General Relativity and Quantum Cosmology · Physics 2023-09-11 Béatrice Bonga , Claudio Bunster , Alfredo Pérez

Gravitational wave memory is theorized to arise from the integrated history of gravitational wave emission, and manifests as a spacetime deformation in the wake of a propagating gravitational wave. We explore the detectability of the memory…

High Energy Astrophysical Phenomena · Physics 2019-07-01 Kristina Islo , Joseph Simon , Sarah Burke-Spolaor , Xavier Siemens

One of the most subtle points in the modern relativistic models for microarcsecond astrometrical observations is the treatment of the influence of translational motion of gravitating bodies on the light propagation. This paper describes…

Astrophysics · Physics 2011-05-23 Sergei A. Klioner , Michael Peip

In this article, we compare in detail the linear and nonlinear approach to the Gravitational Waves Displacement and Velocity Memory (GWDM and GWVM) effects. We consider astrophysical situations that give rise to gravitational waves with…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Lydia Bieri , Alexander Polnarev

It is a long-standing problem in general relativity that the notion of angular momentum of an isolated system has supertranslation ambiguity. In this paper, we argue that the ambiguity is essentially because of the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Pujian Mao , Jun-Bao Wu , Xiaoning Wu