The Gravitational Field of a Body with Rotational Symmetry in Einstein's Theory of Gravitation

1931 ◽  
Vol 53 (2) ◽  
pp. 289 ◽  
Author(s):  
P. Y. Chou
Keyword(s):  
Gravitational Field ◽  
Rotational Symmetry ◽  
Theory Of Gravitation

scholarly journals Continuum dynamics and the electromagnetic field in the scalar ether theory of gravitation

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 395-409 ◽  
Author(s):  
Mayeul Arminjon
Keyword(s):  
Gravitational Field ◽  
Lorentz Force ◽  
Maxwell Equations ◽  
Gravitational Force ◽  
Continuous Medium ◽  
Pressure Force ◽  
Local Charge ◽  
Theory Of Gravitation ◽  
External Forces ◽  
Continuum Dynamics

AbstractAn alternative, scalar theory of gravitation has been proposed, based on a mechanism/interpretation of gravity as being a pressure force: Archimedes’ thrust. In it, the gravitational field affects the physical standards of space and time, but motion is governed by an extension of the relativistic form of Newton’s second law. This implies Einstein’s geodesic motion for free particles only in a constant gravitational field. In this work, equations governing the dynamics of a continuous medium subjected to gravitational and non-gravitational forces are derived. Then, the case where the non-gravitational force is the Lorentz force is investigated. The gravitational modification of Maxwell’s equations is obtained under the requirement that a charged continuous medium, subjected to the Lorentz force, obeys the equation derived for continuum dynamics under external forces. These Maxwell equations are shown to be consistent with the dynamics of a “free” photon, and thus with the geometrical optics of this theory. However, these equations do not imply local charge conservation, except for a constant gravitational field.

scholarly journals Geometrodynamik

1976 ◽  
Vol 31 (10) ◽  
pp. 1155-1159 ◽  
Author(s):  
F. Vollendorf
Keyword(s):  
Gravitational Field ◽  
Maxwell Field ◽  
Field Equations ◽  
Theory Of Gravitation ◽  
Special Case

Abstract This article is based upon the idea to solve the problem of combining the electromagnetic and the gravitational field by starting from Maxwell's theory. It is shown that the theory of the Maxwell field can be generalized in such a way that Einstein's theory of gravitation becomes a special case of it. Finally we find field equations which refer only to geometric quantities.

The Annotated Manuscript

2017 ◽  
Author(s):  
Hanoch Gutfreund ◽  
Jürgen Renn
Keyword(s):  
Gravitational Field ◽  
General Theory ◽  
Equations Of Motion ◽  
Special Theory ◽  
Material Point ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Field Equations ◽  
Theory Of Gravitation

This section presents annotations of the manuscript of Albert Einstein's canonical 1916 paper on the general theory of relativity. It begins with a discussion of the foundation of the general theory of relativity, taking into account Einstein's fundamental considerations on the postulate of relativity, and more specifically why he went beyond the special theory of relativity. It then considers the spacetime continuum, explaining the role of coordinates in the new theory of gravitation. It also describes tensors of the second and higher ranks, multiplication of tensors, the equation of the geodetic line, the formation of tensors by differentiation, equations of motion of a material point in the gravitational field, the general form of the field equations of gravitation, and the laws of conservation in the general case. Finally, the behavior of rods and clocks in the static gravitational field is examined.

Exact plane-wave solution of equations of gravitation theory with massive graviton

2021 ◽  
Vol 64 (1) ◽  
pp. 10-15
Author(s):  
A.A. Baiderin ◽  
◽  
I.P. Denisova ◽  
V.S. Rostovsky ◽  
◽  
...  
Keyword(s):  
Exact Solution ◽  
Gravitational Field ◽  
Plane Wave ◽  
Wave Solution ◽  
Jacobi Method ◽  
Scalar Wave ◽  
Massive Graviton ◽  
Plane Wave Solution ◽  
Solution Of Equations ◽  
Theory Of Gravitation

The theory of gravitation with a massive graviton, which was proposed by Visser, is considered. The exact solution of this theory is found when the source of the gravitational field is plane scalar wave. The Hamilton-Jacobi method obtained the laws of motion of massive and massless particles in this gravitational field.

scholarly journals The Train Wreck Cluster Abell 520 and the Bullet Cluster 1E0657-558 in a Generalized Theory of Gravitation

Galaxies ◽  
2018 ◽  
Vol 6 (2) ◽  
pp. 41 ◽  
Author(s):  
Norman Israel ◽  
John Moffat
Keyword(s):  
Dark Matter ◽  
Gravitational Field ◽  
Modified Gravity ◽  
Gravitational Theory ◽  
Field Limit ◽  
X Ray ◽  
Weak Gravitational Field ◽  
Modified Gravity Theories ◽  
Theory Of Gravitation ◽  
Map Data

A major hurdle for modified gravity theories is to explain the dynamics of galaxy clusters. A case is made for a generalized gravitational theory called Scalar-Tensor-Vector-Gravity (STVG) or MOG (Modified Gravity) to explain merging cluster dynamics. The paper presents the results of a re-analysis of the Bullet Cluster, as well as an analysis of the Train Wreck Cluster in the weak gravitational field limit without dark matter. The King- β model is used to fit the X-ray data of both clusters, and the κ -maps are computed using the parameters of this fit. The amount of galaxies in the clusters is estimated by subtracting the predicted κ -map from the κ -map data. The estimate for the Bullet Cluster is that 14.1 % of the cluster is composed of galaxies. For the Train Wreck Cluster, if the Jee et al. data are used, 25.7 % of the cluster is composed of galaxies. The baryon matter in the galaxies and the enhanced strength of gravitation in MOG shift the lensing peaks, making them offset from the gas. The work demonstrates that this generalized gravitational theory can explain merging cluster dynamics without dark matter.

PHOTONS IN THE GRAVITATIONAL FIELD

1966 ◽  
Vol 44 (7) ◽  
pp. 1639-1648 ◽  
Author(s):  
J. C. W. Scott
Keyword(s):  
Quantum Theory ◽  
Gravitational Field ◽  
Group Velocity ◽  
Gravitational Potential ◽  
Rest Mass ◽  
Red Shift ◽  
Field Equations ◽  
Proper Mass ◽  
Photon Frequency ◽  
Theory Of Gravitation

In a previous paper, "The Gravitokinetic Field and the Orbit of Mercury," a new theory of gravitation was introduced, according to which space–time is always flat and the gravitational field is described by equations of Maxwellian form. In this paper it is shown that the theory correctly predicts the gravitational red shift and the gravitational deflection of a light ray. The interaction of photons with a gravitational field follows from the basic premises of quantum theory, that photon frequency is proportional to its energy and that photon wavelength is inversely proportional to its momentum. The photon velocity and proper mass depend on the gravitational potential, and the deflection of a light ray is due to gravitational refraction. The validity of the antisymmetric field equations for sources of variable rest mass is due to the divergence of the group velocity from the dynamical velocity.

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