Neutron configurations in the generalized Newtonian theory of gravitation

Astrophysics ◽  
1968 ◽  
Vol 4 (2) ◽  
pp. 62-67 ◽  
Author(s):  
G. S. Saakyan ◽  
M. A. Mnatsakanyan
Keyword(s):  
Newtonian Theory ◽  
Theory Of Gravitation

scholarly journals Gravitational major-axis contraction of Mercury’s elliptical orbit

2019 ◽  
Vol 34 (20) ◽  
pp. 1950159
Author(s):  
Q. H. Liu ◽  
Q. Li ◽  
T. G. Liu ◽  
X. Wang
Keyword(s):  
Major Axis ◽  
Distance Measurement ◽  
Elliptical Orbit ◽  
Measurement Technology ◽  
The Sun ◽  
Local Curvature ◽  
Newtonian Theory ◽  
Perihelion Precession ◽  
Theory Of Gravitation

The local curvature of the space produced by the Sun causes not only the perihelion precession of Mercury’s elliptical orbit, but also the variations of the whole orbit, in comparison with those predicted by the Newtonian theory of gravitation. Calculations show that the gravitational major-axis contraction of Mercury’s elliptical orbit is 1.3 km which can in principle be confirmed by the present astronomical distance measurement technology.

Gravitation and cosmic expansion in conformal space-time

1953 ◽  
Vol 49 (2) ◽  
pp. 285-291 ◽  
Author(s):  
Feza Gürsey ◽  
H. Bondi
Keyword(s):  
Steady State ◽  
Scalar Function ◽  
Space Time ◽  
Conformal Space ◽  
Newtonian Theory ◽  
Cosmic Expansion ◽  
Tensor Theory ◽  
Cosmological Problem ◽  
Theory Of Gravitation ◽  
State Universe

AbstractA simple theory of gravitation is formulated in conformal Riemannian space-time. The metric is determined by a scalar function which satisfies a linear equation. A conclusion in favour of Einstein's general tensor theory is drawn from a discussion of the corrections to the Newtonian theory for purely gravitational phenomena. Finally the theory is applied to the cosmological problem and especially to the possibility of a steady-state universe. The velocity-distance law is shown to be compatible with a constant uniform distribution of matter without the need of artificial assumptions.

The Newtonian theory of gravitation and its generalization

1979 ◽  
Vol 57 (7) ◽  
pp. 944-973 ◽  
Author(s):  
Peter Rastall
Keyword(s):  
Complete Theory ◽  
Newtonian Theory ◽  
Gravitational Fields ◽  
Newtonian Approximation ◽  
Geometrical Form ◽  
Theory Of Gravitation ◽  
Two Stages ◽  
Relativistic Gravitation

The classical, Newtonian theory of gravitation is generalized in two stages. First, a theory is constructed which is valid for a class of strong, static gravitational fields. This theory, which we call the newtonian theory, is compatible with all the classical tests of relativistic gravitation. The newtonian theory is then rewritten in a covariant, geometrical form and is generalized to give a complete theory of gravitation whose post-Newtonian approximation is in agreement with all observations.

A note on time-varying gravitational potentials

1962 ◽  
Vol 58 (3) ◽  
pp. 550-553 ◽  
Author(s):  
M. Surdin
Keyword(s):  
Gravitational Potential ◽  
Point Mass ◽  
Time Varying ◽  
Newtonian Theory ◽  
Order Of Magnitude ◽  
Theory Of Gravitation ◽  
The Right ◽  
Right Order

ABSTRACTUsing Newtonian theory of gravitation and postulating the existence of informational waves of gravitation, a time-varying gravitational potential is obtained. When a point mass is submitted to such a potential a precession of its orbit, of the right order of magnitude, is obtained. The correct value of the angle of deflexion of light by massive bodies can also be calculated.

An improved theory of gravitation. Part I

1968 ◽  
Vol 46 (19) ◽  
pp. 2155-2179 ◽  
Author(s):  
Peter Rastall
Keyword(s):  
Field Equation ◽  
Energy Density ◽  
Special Relativity ◽  
Gravitational Potential ◽  
Functional Dependence ◽  
Gravitational Interaction ◽  
Gravitational Energy ◽  
Additive Constant ◽  
Newtonian Theory ◽  
Theory Of Gravitation

A theory of gravitation is developed from assumptions that differ as little as possible from those of special relativity and the Newtonian theory of gravitation. As in special relativity, one assumes the existence of preferred coordinate systems (Newtonian charts) in which the nondiagonal components of the metric vanish, and in which the spatial, diagonal components are equal. The metric is determined by a single real function, the gravitational potential, which is assumed, as in the Newtonian theory, to be arbitrary to the extent of an additive constant. A uniqueness theorem is proved for Newtonian charts, and the functional dependence of the metric on the gravitational potential is determined (apart from two constants, which are later fixed by requiring that the equations of motion of a particle have the correct, nonrelativistic limit, and that the potential due to a fixed particle have the Newtonian form at great distances). By a simple change in the units of space and time, the geometry is made Minkowskian. A similar change in the units of mass makes the theory formally similar to special relativity. Particle dynamics is developed. The red shift and the deflection of light by a star are calculated, and agree with the Einstein results. The combination of the assumptions that the potentials due to particles are additive and that the potential due to a fixed particle is not proportional to 1/r, is shown to lead to difficulties. The weight of a simple system is found to be proportional to its total energy, including its gravitational interaction energy. Continuous, static mass distributions are considered. A field equation is derived for the static gravitational potential, and an expression for the energy density of the static gravitational field. The field equation is modified by assuming that the gravitational energy density is itself a source of the gravitational potential. The potential due to a static, spherically symmetric body is calculated, and the perihelion advance of a planet is found to be 11/12 of the Einstein value, in good agreement with the results of Dicke.

Relativity in Modern Physics

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
General Relativity ◽  
Albert Einstein ◽  
Accelerator Physics ◽  
Newtonian Theory ◽  
Conceptual Foundation ◽  
Space And Time ◽  
Representation Of Space ◽  
Modern Physics ◽  
Theory Of Gravitation ◽  
Accelerated Frames

Newton’s ideas about how to represent space and time, his laws of dynamics, and his theory of gravitation established the conceptual foundation from which modern physics developed. This book offers a modern view of Newtonian theory, emphasizing those aspects needed for understanding quantum and relativistic contemporary physics. In 1905, Albert Einstein proposed a novel representation of space and time, special relativity. The text also presents relativistic dynamics in inertial and accelerated frames, as well as a detailed overview of Maxwell’s theory of electromagnetism, thus providing the background necessary for studying particle and accelerator physics, astrophysics, and Einstein’s theory of general relativity. In 1915, Einstein proposed a new theory of gravitation, general relativity. Finally, the text develops the geometrical framework in which Einstein’s equations are formulated and presents several key applications: black holes, gravitational radiation, and cosmology.

Generalized Newtonian theory of gravitation

Astrophysics ◽  
1969 ◽  
Vol 3 (3) ◽  
pp. 140-144
Author(s):  
G. S. Saakyan ◽  
M. A. Mnatsakanyan
Keyword(s):  
Newtonian Theory ◽  
Theory Of Gravitation
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