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This thesis deals with the systematic treatment of quantum-mechanical systems in post-Newtonian gravitational fields. Starting from clearly spelled-out assumptions, employing a framework of geometric background structures defining the…

广义相对论与量子宇宙学 · 物理学 2020-10-07 Philip K. Schwartz

We derive the post-Newtonian limit of a general class of teleparallel gravity theories, whose action is given by a free function of three scalar quantities obtained from the torsion of the teleparallel connection. This class of theories is…

广义相对论与量子宇宙学 · 物理学 2020-01-24 Ulbossyn Ualikhanova , Manuel Hohmann

The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravitational constant. It is given in a surprisingly simple…

广义相对论与量子宇宙学 · 物理学 2010-03-03 Tomas Ledvinka , Gerhard Schaefer , Jiri Bicak

In the continuation of a preceding work, we derive a new expression for the metric in the near zone of an isolated matter system in post-Newtonian approximations of general relativity. The post-Newtonian metric, a solution of the field…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Luc Blanchet , Guillaume Faye , Samaya Nissanke

Context: Occultation experiments represent unique opportunities for probing remotely physical properties of atmospheres. The data processing requires one to properly account for refractivity while modeling the time/frequency transfers of an…

广义相对论与量子宇宙学 · 物理学 2021-04-14 A. Bourgoin , M. Zannoni , L. Gomez Casajus , P. Tortora , P. Teyssandier

This paper employs the post-Newtonian approximations of scalar-tensor theory of gravity along with the Cartesian STF tensors and the Blanchet-Damour multipole formalism to derive translational and rotational equations of motion of N…

广义相对论与量子宇宙学 · 物理学 2019-04-17 Sergei M. Kopeikin

A detailed account is given on approximation schemes to the Einstein theory of general relativity where the iteration starts from the Newton theory of gravity. Two different coordinate conditions are used to represent the Einstein field…

广义相对论与量子宇宙学 · 物理学 2024-05-19 Gerhard Schäfer

We present a new analytic approach to describe large scale structure formation in the mildly non-linear regime. The central object of the method is the time-dependent probability distribution function generating correlators of the…

宇宙学与河外天体物理 · 物理学 2016-08-09 Diego Blas , Mathias Garny , Mikhail M. Ivanov , Sergey Sibiryakov

The light-trajectory in the gravitational field of N extended bodies in arbitrary motion is determined in the first post-Newtonian approximation. According to the theory of reference systems, the gravitational fields of these massive bodies…

天体物理仪器与方法 · 物理学 2017-07-25 Sven Zschocke

We compare the computation times and precisions of three expansions for the gravitational potential. The evaluation of the series by Selvaggi et al (2008 \textit{Class. Quantum Grav.} \textbf{25} 015013) is time-consuming to be applied to…

广义相对论与量子宇宙学 · 物理学 2009-10-02 M Azreg-Aïnou

We investigate the fate of asymptotic simplicity in physically relevant settings of compact-object scattering. Using the stress tensor of a two-body system as a source, we compute the spacetime metric in General Relativity at finite…

高能物理 - 理论 · 物理学 2026-03-13 Stefano De Angelis , Aidan Herderschee , Radu Roiban , Fei Teng

To be observed and analyzed by the network of current gravitational wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA) detectors,…

广义相对论与量子宇宙学 · 物理学 2024-07-16 Luc Blanchet

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…

天体物理学 · 物理学 2011-05-23 Sergei A. Klioner , Michael Peip

The general relativistic treatment of gravitation can be extended by preserving the geometrical nature of the theory but modifying the form of the coupling between curvature and stress tensors. The gravitation constant is thus replaced by…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Marc-Thierry Jaekel , Serge Reynaud

A novel approach to the Effective One-Body description of gravitationally interacting two-body systems is introduced. This approach is based on the post-Minkowskian approximation scheme (perturbation theory in G, without assuming small…

广义相对论与量子宇宙学 · 物理学 2016-11-15 Thibault Damour

We revisit the old problem of the self-force on a particle moving in a weak-field spacetime in the context of renewed interest in two-body gravitational scattering. We analytically calculate the scalar, electromagnetic, and gravitational…

广义相对论与量子宇宙学 · 物理学 2024-06-06 Samuel E. Gralla , Kunal Lobo

We outline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multi-graviton two-body on-shell scattering amplitudes between…

高能物理 - 理论 · 物理学 2018-10-31 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Guido Festuccia , Ludovic Planté , Pierre Vanhove

We determine the full post-Newtonian limit of theories of gravity that extend general relativity by replacing the Ricci scalar, R, in the generating Lagrangian by some analytic function, f(R). We restrict ourselves to theories that admit…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Timothy Clifton

We study the gravitational radiation emitted during the scattering of two spinless bodies in the post-Minkowskian Effective Field Theory approach. We derive the conserved stress-energy tensor linearly coupled to gravity and the classical…

广义相对论与量子宇宙学 · 物理学 2021-07-21 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi

A partially alternative derivation of the expression for the time dilation effect in a uniform static gravitational field is obtained by means of a thought experiment in which rates of clocks at rest at different heights are compared using…

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