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The equations of the relativistic causal Newton gravity law for the planets of the solar system are studied in the approximation when the Sun rests at the coordinate origin and the planets do not interact between each other. The planet…

数学物理 · 物理学 2013-11-05 Yury M. Zinoviev

We present a strategy to obtain equations of general relativity for an irrotational dust continuum within a flow-orthogonal foliation of spacetime from the equations of Newtonian gravitation, and vice versa, without employing a weak field…

广义相对论与量子宇宙学 · 物理学 2023-11-23 Thomas Buchert

Some of the theoretical challenges posed by the general relativistic description of binary systems of compact objects (neutron stars or black holes) are reviewed. We recall the various ways one can use the theory of the motion, and of the…

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

We derive the relativistic velocity addition law, the transformations of electromagnetic fields and space-time intervals by examining the drift velocities in a crossed electromagnetic field configuration. The postulate of the light velocity…

综合物理 · 物理学 2023-02-21 Congjun Wu

Earlier, we had presented \cite{heuristic} heuristic arguments to show that a {\em natural unification} of the ideas of the quantum theory and those underlying the general principle of relativity is achievable by way of the measure theory…

综合物理 · 物理学 2007-05-23 Sanjay M. Wagh

We explain in a very concise way the basic principles that lead from Galilean to General Relativity to make them understandable to students or general audience, even with little knowledge in physics and mathematics.

科普物理 · 物理学 2015-11-25 Stephane Fay

The objective of this second part of the work is to present heuristic derivations of the three classical tests of general relativity. These derivations are based on the Einstein equivalence principle and use Newtonian physics as a…

物理学史与哲学 · 物理学 2020-08-27 Jorge Pinochet

Recent experiments have successfully tested Einstein's general theory of relativity to remarkable precision. We discuss recent progress in the tests of relativistic gravity in the solar system and present motivations for the new generation…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Slava G. Turyshev

We review the general relativistic theory of the motion, and of the timing, of binary systems containing compact objects (neutron stars or black holes). Then we indicate the various ways one can use binary pulsar data to test the…

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

Attempts to merge Einsteinian gravity with Newtonian run into inconsistencies because in Newton's gravity time is absolute and the speed of gravity is infinite. Such an assumption was in a focus of attention of scientists in 19th century…

综合物理 · 物理学 2015-08-19 Arkady L. Kholodenko

Stellar pulsations in rotating relativistic stars are reviewed. Slow rotation approximation is applied to solving the Einstein equations. The rotational effects on the non-axisymmetric oscillations are explicitly shown in the polar and…

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

We study a noncommutative deformation of general relativity where the gravitational field is described by a matrix-valued symmetric two-tensor field. The equations of motion are derived in the framework of this new theory by varying a…

广义相对论与量子宇宙学 · 物理学 2011-02-17 Guglielmo Fucci , Ivan G. Avramidi

By using the general concepts of special relativity and the requirements of quantum mechanics, Dirac equation is derived and studied. Only elementary knowledge of spin and rotations in quantum mechanics and standard handlings of linear…

综合物理 · 物理学 2011-10-03 M. De Sanctis

In this paper a mathematically precise global (i.e. not the usual local) approach is presented to the variational principles of general relativistic classical field theories. Problems of the classic (usual) approaches are also discussed in…

广义相对论与量子宇宙学 · 物理学 2016-08-31 András László

These lecture notes are intended to introduce the theory of rotating stars in general relativity. The focus is put on the theoretical foundations, with a detailed discussion of the spacetime symmetries, the choice of coordinates and the…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Eric Gourgoulhon

Assuming that the relativistic universe is homogeneous and isotropic, we can unambiguously determine its model and physical properties, which correspond with the Einstein general theory of relativity (and with its two special partial…

综合物理 · 物理学 2010-12-27 Vladimir Skalsky

We summarize a recent work done on the title's subject. First, we present the asymptotic scheme of post-Newtonian (PN) approximation for general relativity in the harmonic gauge. Then, we discuss the definition of the mass centers and the…

广义相对论与量子宇宙学 · 物理学 2007-11-19 Mayeul Arminjon

There is evidence that Newton and Einstein's theories of gravity cannot explain the dynamics of a universe made up solely of baryons and radiation. To be able to understand the properties of galaxies, clusters of galaxies and the universe…

天体物理学 · 物理学 2014-02-18 T. G Zlosnik , P. G Ferreira , G. D Starkman

In the framework of Einstein's General Relativity Theory and of the Relativistic Theory of Gravitation, the equations governing the trajectories of charged particles in the field created by a charged mass point are given. An analysis of the…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Delia Ionescu

This paper presents some ideas which might assist teachers incorporating special relativity into an introductory physics curriculum. One can define the proper-time/velocity pair, as well as the coordinate-time/velocity pair, of a traveler…

物理教育 · 物理学 2008-02-03 P. Fraundorf