scholarly journals On the uniqueness of the Newtonian theory as a geometric theory of gravitation

1975 ◽  
Vol 45 (2) ◽  
pp. 167-182 ◽  
Author(s):  
W. G. Dixon
Keyword(s):  
Geometric Theory ◽  
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.

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

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.

scholarly journals A Scale-Invariant, Machian Theory of Gravitation and Electrodynamics Unified

2018 ◽  
Author(s):  
Ram Gopal Vishwakarma
Keyword(s):  
Long Range ◽  
Geometric Theory ◽  
Riemann Tensor ◽  
Field Equations ◽  
Scale Invariant ◽  
Long Range Interactions ◽  
Electromagnetic Field Tensor ◽  
Respective Field ◽  
Theory Of Gravitation ◽  
Baryonic Dark Matter

As gravitation and electromagnetism are closely analogous long-range interactions, and gravitation is formulated in terms of geometry in general relativity (GR), we expect the latter also to appear through the geometry. This unification has however remained an unfulfilled goal. The goal is achieved here in a new theory, which results from the principles of equivalence and Mach supplemented with a novel insight that the field tensors in a geometric theory of gravitation and electromagnetism must be traceless, since these long-range interactions are mediated by virtual exchange of massless particles whose mass is expected to be related to the trace of the field tensors. Hence the Riemann tensor, like the analogous electromagnetic field tensor, must be traceless. Thence emerges a scale- invariant, Machian theory of gravitation and electrodynamics unified, wherein the vanishing of the Ricci tensor appears as a boundary condition. While the field equations of the theory are given by the vanishing divergence of the respective field tensors and their duals, the matter and charge emerge from the spacetime. A quantitative formulation of the emergent fields embodied in ‘energymomentum super tensors’ follows from the respective Bianchi identities for the two fields. The resulting theory is valid at all scales and explains the observations without invoking the non-baryonic dark matter, dark energy or inflation. Moreover, it answers the questions that the GR-based standard paradigm could not address.

scholarly journals A scale-invariant, Machian theory of gravitation and electrodynamics unified

2018 ◽  
Vol 15 (10) ◽  
pp. 1850178 ◽  
Author(s):  
Ram Gopal Vishwakarma
Keyword(s):  
Long Range ◽  
Geometric Theory ◽  
Riemann Tensor ◽  
Field Equations ◽  
Scale Invariant ◽  
Current Formulation ◽  
Long Range Interactions ◽  
Electromagnetic Field Tensor ◽  
Respective Field ◽  
Theory Of Gravitation

As gravitation and electromagnetism are closely analogous long-range interactions, and the current formulation of gravitation is given in terms of geometry, we expect the latter also to appear through the geometry. This unification has however, remained an unfulfilled goal. The goal is achieved here in a new theory, which results from the principles of equivalence and Mach supplemented with a novel insight that the field tensors in a geometric theory of gravitation and electromagnetism must be traceless, since these long-range interactions are mediated by virtual exchange of massless particles whose mass is expected to be related to the trace of the field tensors. Hence, the Riemann tensor, like the analogous electromagnetic field tensor, must be traceless. Thence emerges a scale-invariant, Machian theory of gravitation and electrodynamics unified, wherein the vanishing of the Ricci tensor appears as a boundary condition. While the field equations of the theory are given by the vanishing divergence of the respective field tensors and their duals, the matter and charge emerge from the spacetime. A quantitative formulation thereof, embodied in “energy-momentum super tensors”, follows from the respective Bianchi identities for the two fields. The resulting theory is valid at all scales and explains the observations without invoking the non-baryonic dark matter, dark energy or inflation. Moreover, it answers the questions that the general relativity-based standard paradigm could not address.

scholarly journals A Scale-Invariant, Machian Theory of Gravitation and Electrodynamics Unified

2018 ◽  
Author(s):  
Ram Gopal Vishwakarma
Keyword(s):  
Long Range ◽  
Geometric Theory ◽  
Riemann Tensor ◽  
Field Equations ◽  
Scale Invariant ◽  
Long Range Interactions ◽  
Electromagnetic Field Tensor ◽  
Respective Field ◽  
Theory Of Gravitation ◽  
Baryonic Dark Matter

As gravitation and electromagnetism are closely analogous long-range interactions, and gravitation is formulated in terms of geometry in general relativity (GR), we expect the latter also to appear through the geometry. This unification has however remained an unfulfilled goal. The goal is achieved here in a new theory, which results from the principles of equivalence and Mach supplemented with a novel insight that the field tensors in a geometric theory of gravitation and electromagnetism must be traceless, since these long-range interactions are mediated by virtual exchange of massless particles whose mass is expected to be related to the trace of the field tensors. Hence the Riemann tensor, like the analogous electromagnetic field tensor, must be traceless. Thence emerges a scale- invariant, Machian theory of gravitation and electrodynamics unified, wherein the vanishing of the Ricci tensor appears as a boundary condition. While the field equations of the theory are given by the vanishing divergence of the respective field tensors and their duals, the matter and charge emerge from the spacetime. A quantitative formulation of the emergent fields embodied in ‘energymomentum super tensors’ follows from the respective Bianchi identities for the two fields. The resulting theory is valid at all scales and explains the observations without invoking the non-baryonic dark matter, dark energy or inflation. Moreover, it answers the questions that the GR-based standard paradigm could not address.

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.

Sign in / Sign up

Export Citation Format

Share Document