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The spacetime evolution of massless spinning particles in a Robertson-Walker background is derived using the deterministic system of equations of motion due to Papapetrou, Souriau and Saturnini. A numerical integration of this system of…

广义相对论与量子宇宙学 · 物理学 2017-08-30 C. Duval , T. Schucker

The general expression of the angular distance between two point sources as measured by an arbitrary observer is given. The modelling presented here is rigorous, covariant and valid in any space-time. The sources of light may be located at…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Pierre Teyssandier , Christophe Le Poncin-Lafitte

Measurements of the spectrum of the fluctuations of the output current of the quadratic detector of a telescope can be used to find unresolved astronomical gravitational lenses and determine time delays between their image components. These…

天体物理学 · 物理学 2009-11-13 Ermanno F. Borra

This article investigates the full Boltzmann equation up to second order in the cosmological perturbations. Describing the distribution of polarized radiation by a tensor valued distribution function, we study the gauge dependence of the…

广义相对论与量子宇宙学 · 物理学 2018-06-28 Cyril Pitrou

The geodesic equation encodes test-particle dynamics at arbitrary gravitational coupling, hence retaining all orders in the post-Minkowskian (PM) expansion. Here we explore what geodesic motion can tell us about dynamical scattering in the…

高能物理 - 理论 · 物理学 2021-01-20 Clifford Cheung , Nabha Shah , Mikhail P. Solon

As a consequence of gravitomagnetism, which is a fundamental weak-field prediction of general relativity and ubiquitous in gravitational phenomena, clocks show a difference in their proper periods when moving along identical orbits in…

广义相对论与量子宇宙学 · 物理学 2007-05-23 H. Lichtenegger , W. Hausleitner , F. Gronwald , B. Mashhoon

This paper shows as the relativistic Doppler effect can be extended also to time and space associated to moving bodies. This extension derives from the analysis of the wave-fronts of the light emitted by a moving source in inertial motion…

综合物理 · 物理学 2012-08-31 Giovanni Zanella

A scalar, preferred-frame theory of gravitation is summarized. Space-time is endowed with both a flat metric and a curved, "physical" metric. Motion is governed by a natural extension of Newton's second law, which implies geodesic motion…

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

A perturbative method to compute the total travel time of both null and lightlike rays in arbitrary static spherically symmetric spacetimes in the weak field limit is proposed. The resultant total time takes a quasi-series form of the…

广义相对论与量子宇宙学 · 物理学 2021-09-01 Haotian Liu , Junji Jia

Responding to calls from the National Science Foundation (NSF) for new proposals to measure the gravitational constant $G$, we offer an interesting experiment in deep space employing the classic gravity train mechanism. Our setup requires…

广义相对论与量子宇宙学 · 物理学 2016-05-18 Michael R. Feldman , John D. Anderson , Gerald Schubert , Virginia Trimble , Sergei Kopeikin , Claus Lämmerzahl

The two-point function for tensor metric perturbations around de Sitter spacetime including one-loop corrections from massless conformally coupled scalar fields is calculated exactly. We work in the Poincar\'e patch (with spatially flat…

广义相对论与量子宇宙学 · 物理学 2012-09-06 Markus B. Fröb , Albert Roura , Enric Verdaguer

Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations,…

综合物理 · 物理学 2011-08-31 Jaume Giné

The possibility that the strength of gravitational interactions might slowly increase with distance, is explored by formulating a set of effective field equations, which incorporate the gravitational, vacuum-polarization induced, running of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Herbert W. Hamber , Ruth M. Williams

We propose a novel mechanism to test time variation of the propagation speed of gravitational waves (GWs) in light of GWs astronomy. As the stochastic GWs experience the whole history of cosmic expansion, they encode potential observational…

广义相对论与量子宇宙学 · 物理学 2021-02-23 Yi-Fu Cai , Chunshan Lin , Bo Wang , Sheng-Feng Yan

General relativistic deflection of light by mass, dipole, and quadrupole moments of gravitational field of a moving massive planet in the Solar system is derived in the approximation of the linearized Einstein equations. All terms of order…

广义相对论与量子宇宙学 · 物理学 2007-12-05 Sergei Kopeikin , Valeri Makarov

Gravitational waves undergo redshift as they propagate through the expanding universe, and the redshift may exhibit time-dependent drift. Consequently, for any isolated gravitational wave sources, the mass parameter $\mathcal{M}$ and the…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Tan Liu , Wen-Fan Feng , Zong-Kuan Guo

We consider inverse problems for the Einstein equation with a time-depending metric on a 4-dimensional globally hyperbolic Lorentzian manifold $(M,g)$. We formulate the concept of active measurements for relativistic models. We do this by…

偏微分方程分析 · 数学 2013-05-30 Yaroslav Kurylev , Matti Lassas , Gunther Uhlmann

The classical phenomenon of the redshift of light in a static gravitational potential, usually called the gravitational redshift, is described in the literature essentially in two ways: on the one hand the phenomenon is explained through…

物理教育 · 物理学 2008-11-26 L. B. Okun , K. G. Selivanov , V. L. Telegdi

We construct a model of Brownian Motion on a pseudo-Riemannian manifold associated with general relativity. There are two aspects of the problem: The first is to define a sequence of stopping times associated with the Brownian "kicks" or…

综合物理 · 物理学 2013-04-02 Paul O'Hara , Lamberto Rondoni

It is investigated the gravitational waves phenomena in the geometric scalar theory of gravity (GSG), a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the spacetime is…

广义相对论与量子宇宙学 · 物理学 2019-08-16 Júnior Diniz Toniato