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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 coordinates origin and the planets do not iteract between each other.

数学物理 · 物理学 2012-01-18 Yury M. Zinoviev

The general theory of relativity is currently established as the most precise theory of gravity supported by observations, and its application is diverse ranging from astronomy to cosmology, while its application to astrophysics has been…

太阳与恒星天体物理 · 物理学 2025-07-16 Shuichi Yokoyama

The relativistic equations for the electromagnetic and gravitation interactions are similar: The only Lagrangian equation is the equation with Lorentz force. The potential satisfies the wave equation with the right - hand side proprtional…

数学物理 · 物理学 2008-01-08 Yury M. Zinoviev

It is attempted to derive the general relativistic (GR) equation of motion for planet and its solution solely by the special relativity (SR) techniques. The motion of a planet relative to the sun and that of the sun to the planet are solved…

地球与行星天体物理 · 物理学 2022-08-22 Yoshio Kubo

This review paper is devoted to the theory of orbits. We start with the discussion of the Newtonian problem of motion then we consider the relativistic problem of motion, in particular the PN approximation and the further gravitomagnetic…

广义相对论与量子宇宙学 · 物理学 2017-09-06 Mariafelicia De Laurentis

In this paper we consider the central force problem in the special theory of relativity. We derive the special relativistic version of the Binet equation describing the orbit of a body. Then, the motion of a planet in a solar-like system…

经典物理 · 物理学 2022-08-24 Iwan Setiawan , Ryan Sugihakim , Bobby Eka Gunara

A simple general relativity theory for objects moving in gravitational fields is developed based on studying the behavior of an atom in a gravitational field. The theory is applied to calculate the satellite time dilation, light deflection…

综合物理 · 物理学 2007-05-23 Yehea I. Ismail

Einstein general theory of relativity (GTR) accounted well for the precession of the perihelion of planets and binary pulsars. While the ordinary Newton law of gravitation failed, a generalized version yields similar results. We have shown…

综合物理 · 物理学 2012-10-01 A. I. Arbab

General Relativity is the modern theory of gravitation. It has replaced the newtonian theory in the description of the gravitational phenomena. In spite of the remarkable success of the General Relativity Theory, the newtonian gravitational…

广义相对论与量子宇宙学 · 物理学 2015-01-09 J. C. Fabris , H. Velten

The nature of gravity is fundamental to our understanding of our own solar system, the galaxy and the structure and evolution of the Universe. Einstein's general theory of relativity is the standard model that is used for almost ninety…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Orfeu Bertolami , Jorge Paramos , Slava G. Turyshev

The Newtonian approximation for the gravitational field equation should not necessarily involve admission of non-relativistic properties of the source terms in Einstein's equations: it is sufficient to merely consider the weak-field…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Nikolai V. Mitskievich

In this note, we discuss the significance of the general principle of relativity for a physical theory that abandons the newtonian concept of force and, hence, uses an entirely different conception for the ``cause'' behind motions of…

综合物理 · 物理学 2007-05-23 Sanjay M Wagh

Both for the background world model and its linear perturbations Newtonian cosmology coincides with the zero-pressure limits of relativistic cosmology. However, such successes in Newtonian cosmology are not purely based on Newton's gravity,…

天体物理学 · 物理学 2009-11-13 Jai-chan Hwang , Hyerim Noh

From more critical tests for gravitational (G) hypotheses it has been proved that the relative properties of nonlocal (NL) bodies at rest with respect to an observer depend on the difference of G potential between bodies and observer. The G…

广义相对论与量子宇宙学 · 物理学 2007-05-23 R. A. Vera

General relativistic spectra from accretion disks around rotating neutron stars in the appropriate space-time geometry for several different equation of state, spin rates and mass of the compact object have been computed. The analysis…

天体物理学 · 物理学 2009-10-31 S. Bhattacharyya , R. Misra , A. V. Thampan

Numerical N-body simulations of large scale structure formation in the universe are based on Newtonian gravity. However, according to our current understanding, the most correct theory of gravity is general relativity. It is therefore…

宇宙学与河外天体物理 · 物理学 2012-03-27 Ugo Bertello

The strong proper time dilation and radial contraction in the gravitational field of compact sources leads to a frozen state of matter. It is shown that the falling particles and photons can not cross the gravitational radius due to the…

综合物理 · 物理学 2014-12-17 Zahid Zakir

In this work a study of the gravity is made using Einstein's equation in the post-Newtonian approach. This is a method to linearise the General Relativity indicated to treat non-relativistic objects. It enables us to construct, from…

广义相对论与量子宇宙学 · 物理学 2013-04-29 I. C. Jardim , R. R. Landim

Einstein's general theory of relativity is the standard theory of gravity, especially where the needs of astronomy, astrophysics, cosmology and fundamental physics are concerned. As such, this theory is used for many practical purposes…

广义相对论与量子宇宙学 · 物理学 2011-08-17 Slava G. Turyshev

The field equations of a generalized $f(R)$ type gravity model, in which there is an arbitrary coupling between matter and geometry, are obtained. The equations of motion for test particles are derived from a variational principle in the…

广义相对论与量子宇宙学 · 物理学 2009-05-26 T. Harko
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