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Time dilation $\frac{1}{\sqrt{1-v^2}}$ and relative velocity $v$ are observationally indistinguishable in the special theory of relativity, a duality that carries over into the general theory under Fermi coordinates along a curve (in…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Hunter Monroe

We present a method for assigning a statistical significance to detection candidates in targeted searches for continuous gravitational waves from known pulsars, without assuming the detector noise is Gaussian and stationary. We take…

广义相对论与量子宇宙学 · 物理学 2021-01-04 Maximiliano Isi , Simone Mastrogiovanni , Matthew Pitkin , Ornella Juliana Piccinni

Space-based gravitational wave detection is based on the astrodynamical equations derived from gravitational theory to detect changes in distance between spacecraft/celestial bodies and/or their state changes caused by gravitational waves.…

广义相对论与量子宇宙学 · 物理学 2024-09-04 Wei-Tou Ni

Understanding the interplay between quantum mechanical systems and gravity is a crucial step towards unifying these two fundamental ideas. Recent theoretical developments have explored how global properties of spacetime would cause a…

广义相对论与量子宇宙学 · 物理学 2025-10-21 Flynn Linton , Shubhanshu Tiwari

We initiate the study of gravitational-wave lensing in the wave-optics regime within modified gravity. We consider a phenomenological setup in which the gravitational-wave amplitude obeys a curvature-coupled propagation equation. This…

广义相对论与量子宇宙学 · 物理学 2026-05-27 Alice Garoffolo , Gianmassimo Tasinato

The diffraction effects on gravitational waves propagating through a stellar cluster are analyzed in the relevant approximation of Fresnel diffraction limit. We find that a gravitational wave scintillation effect - similar to the radio…

天体物理学 · 物理学 2008-11-26 G. Congedo , F. De Paolis , P. Longo , A. A. Nucita , D. Vetrugno

We develop a unified description, via the Boltzmann equation, of damping of gravitational waves by matter, incorporating collisions. We identify two physically distinct damping mechanisms -- collisional and Landau damping. We first consider…

广义相对论与量子宇宙学 · 物理学 2017-10-25 Gordon Baym , Subodh P. Patil , C. J. Pethick

We have recently derived a manifestly covariant evolution law, under the geometrical optics approximation of the vacuum Maxwell's equations, for the electric field along null geodesics in a general spacetime, relative to an arbitrary set of…

广义相对论与量子宇宙学 · 物理学 2021-08-27 João C. Lobato , Isabela S. Matos , Lucas T. Santana , Ribamar R. R. Reis , Maurício O. Calvão

This paper investigates the effects of nonvanishing spatial curvature on the propagation of primordial gravitational waves produced during inflation. In particular, we consider tensor perturbations over a homogeneous and isotropic…

宇宙学与河外天体物理 · 物理学 2023-08-29 Rocco D'Agostino , Matteo Califano , Nicola Menadeo , Daniele Vernieri

A nonlinear Schr\"odinger equation for the envelope of two-dimensional gravity-capillary waves propagating at the free surface of a vertically sheared current of constant vorticity is derived. In this paper we extend to gravity-capillary…

流体动力学 · 物理学 2018-10-17 H. -C. Hsu , C. Kharif , M. Abid , Y. -Y. Chen

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,…

高能天体物理现象 · 物理学 2025-09-23 Yusuke Sakai , Ryo Yamazaki , Yoshihiro Okutani , Satsuki Ueno , Norichika Sago , Marco Meyer-Conde , Hirotaka Takahashi

Gravitational waves are predicted by the general theory of relativity. In [6] D. Christodoulou showed that gravitational waves have a nonlinear memory. We proved in [3] that the electromagnetic field contributes at highest order to the…

微分几何 · 数学 2011-06-10 Lydia Bieri , PoNing Chen , Shing-Tung Yau

The memory effect of test particles interacting with pp-wave Gaussian pulses is investigated for polarization modes beyond the standard quadrupolar $+$ and $\times$ states. Massive geodesic equations are solved numerically for several…

广义相对论与量子宇宙学 · 物理学 2026-03-31 F. L. Carneiro , H. P. de Carvalho , M. P. Lobo , L. A. Cabral

We examine numerically the gravitational wave recoil in non-axisymmetric Robinson-Trautman spacetimes. We construct characteristic initial data for the Robinson-Trautman dynamics which are interpreted as corresponding to the early…

广义相对论与量子宇宙学 · 物理学 2014-03-19 R. F. Aranha , I. Damião Soares , E. V. Tonini

We investigate new optical effects of nonlinear gravitational waves that arise from hereditary effects. Firstly, we show that the amplitude of continuous plane waves has a hereditary effect that grows with distance. This can make the…

广义相对论与量子宇宙学 · 物理学 2025-01-22 Yu-Qiang Liu , Yu-Qi Dong , Yu-Xiao Liu

We examined the output of a quantum Michelson interferometer incorporating the combined effects of nonlinear optomechanical interaction and time-varying gravitational fields. Our findings indicate a deviation from the standard relationship…

广义相对论与量子宇宙学 · 物理学 2024-08-08 Zhong-Kai Guo , Xiao-Yong Wang

Gravitational-wave data is gauge dependent. While we can restrict the class of gauges in which such data may be expressed, there will still be an infinite-dimensional group of transformations allowed while remaining in this class, and…

广义相对论与量子宇宙学 · 物理学 2016-04-27 Michael Boyle

The vacuum Einstein equations admit a formulation closely analogous to the source-free Maxwell theory. In particular, the linearized equations exhibit an electric-magnetic duality symmetry. We develop a framework that makes this analogy…

广义相对论与量子宇宙学 · 物理学 2025-11-05 Adrian del Rio , Javier Olmedo , António Torres Manso

The relation between gravitational memory effects and Bondi-Metzner-Sachs symmetry of the asymptotically flat spacetimes is studied in the scalar-tensor theory. For this purpose, the solutions to the equations of motion near the future null…

广义相对论与量子宇宙学 · 物理学 2021-01-19 Shaoqi Hou , Zong-Hong Zhu

The direct detection of gravitational waves by the LIGO-Virgo collaboration has opened a new window with which to measure cosmological parameters such as the Hubble constant $H_0$, and also probe general relativity on large scales. In this…

广义相对论与量子宇宙学 · 物理学 2020-08-14 S. Mastrogiovanni , D. Steer , M. Barsuglia
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