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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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pierre Teyssandier , Christophe Le Poncin-Lafitte

In this investigation the boundary value problem of light propagation in the gravitational field of one arbitrarily moving body with monopole structure is considered in the second post-Newtonian approximation. The solution of the boundary…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Sven Zschocke

The geometry of a light wavefront, evolving from a initial flat wavefront in the 3-space associated with a post-Newtonian relativistic spacetime, is studied numerically by means of the ray tracing method. For a discretization of the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 A. San Miguel , F. Vicente , J. -F. Pascual-Sanchez

An exact analytical expression for the bending angle of light due to a non-rotating massive object, considering the actual distances from source and observer to the gravitational mass, is derived. Our novel formula generalizes Darwin…

Instrumentation and Methods for Astrophysics · Physics 2024-10-08 Oscar del Barco

Geometric optics approximation is sufficient to describe the effects in the near-Earth environment. In this framework Faraday rotation is purely a reference frame (gauge) effect. However, it cannot be simply dismissed. Establishing local…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Pravin Kumar Dahal , Daniel R. Terno

We present an improved calculation of $B\to$ light vector form factors from light-cone sum rules, including one-loop radiative corrections to twist-2 and twist-3 contributions, and leading order twist-4 corrections. The total theoretical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Patricia Ball , Roman Zwicky

We extend the systematic calculation of an approximately relativistic Hamiltonian for centre of mass and internal dynamics of an electromagnetically bound two-particle system by Sonnleitner and Barnett [1] to the case including a weak…

Quantum Physics · Physics 2019-11-27 Philip K. Schwartz , Domenico Giulini

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…

General Relativity and Quantum Cosmology · Physics 2007-12-05 Sergei Kopeikin , Valeri Makarov

Efficient computation of the quadrupole light deflection for quasars/quasars and solar system objects within the framework of the baseline Gaia relativity model (GREM) is discussed. Two refinements have been achieved with the goal to…

Earth and Planetary Astrophysics · Physics 2010-08-25 Sven Zschocke , Sergei A. Klioner

In the Standard Model (SM) we calculate the decay rate of the neutron radiative beta decay to order "O(\alpha^2/\pi^2 ~ 10^{-5})", where "\alpha$"is the fine--structure constant, and radiative corrections to order "O(\alpha/\pi ~ 10^{-3})".…

High Energy Physics - Phenomenology · Physics 2017-07-04 A. N. Ivanov , R. Höllwieser , N. I. Troitskaya , M. Wellenzohn , Ya. A. Berdnikov

We calculate, in d spacetime dimensions, the relationship between the coefficient 1/K^2 of the Einstein-Hilbert term in the action of general relativity and the coefficient G_N of the force law that results from the Newtonian limit of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean P. Robinson

In this paper, we extend the first-order post-Newtonian scheme in multiple systems presented by Damour-Soffel-Xu to the second-order contribution to light propagation without changing the virtueof the scheme on the linear partial…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Chong-ming Xu , Xue-jun Wu

The theory obtained as a singular limit of General Relativity, if the reciprocal velocity of light is assumed to tend to zero, is known to be not exactly the Newton-Cartan theory, but a slight extension of this theory. It involves not only…

General Relativity and Quantum Cosmology · Physics 2010-04-06 G. Dautcourt

We reconsider the QCD predictions for the radiative decay $B\to \gamma \ell \nu_\ell$ with an energetic photon in the final state by taking into account the $1/E_\gamma, 1/m_b$ power-suppressed hard-collinear and soft corrections from…

High Energy Physics - Phenomenology · Physics 2018-08-15 M. Beneke , V. M. Braun , Yao Ji , Yan-Bing Wei

The precise knowledge of the gravitational phase evolution of compact binaries is crucial to the data analysis for gravitational waves. Until recently, it was known analytically (for non-spinning systems) up to the 3.5 post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2024-01-23 L. Blanchet , G. Faye , Q. Henry , F. Larrouturou , D. Trestini

We study the radiation of gravitational waves by self-gravitating binary systems in the low-energy limit of Horava gravity. We find that the predictions for the energy-loss formula of General Relativity are modified already for Newtonian…

General Relativity and Quantum Cosmology · Physics 2011-10-11 Diego Blas , Hillary Sanctuary

We derive a coordinate-independent formulation of the post-1-Newtonian approximation to general relativity. This formulation is a generalization of the Newton-Cartan geometric formulation of Newtonian gravity. It involves several fields and…

General Relativity and Quantum Cosmology · Physics 2011-09-08 Wolfgang Tichy , Eanna E. Flanagan

Newtonian Cosmology is commonly used in astrophysical problems, because of its obvious simplicity when compared with general relativity. However it has inherent difficulties, the most obvious of which is the non-existence of a well-posed…

General Relativity and Quantum Cosmology · Physics 2010-12-03 Tamath Rainsford , Peter Szekeres

We consider the parametrized post-Newtonian (PPN) limit of ghost-free massive bimetric gravity with two mutually non-interacting matter sectors coupled to the two metrics. Making use of a gauge-invariant differential decomposition of the…

General Relativity and Quantum Cosmology · Physics 2017-07-14 Manuel Hohmann

The geodetic VLBI technique is capable of measuring the Sun's gravity light deflection from distant radio sources around the whole sky. This light deflection is equivalent to the conventional gravitational delay used for the reduction of…

Instrumentation and Methods for Astrophysics · Physics 2017-02-23 O. Titov