Equivalence principle for charged bodies in a theory of gravitation

1981 ◽  
Vol 59 (11) ◽  
pp. 1730-1733 ◽  
Author(s):  
R. B. Mann ◽  
J. W. Moffat
Keyword(s):  
Equivalence Principle ◽  
Maxwell Equations ◽  
Test Body ◽  
Spherically Symmetric ◽  
Point Particles ◽  
Symmetric Field ◽  
Static Spherically Symmetric Metric ◽  
Theory Of Gravitation ◽  
Spherically Symmetric Metric

The motion of a test body made of electromagnetically interacting point particles, falling in the static spherically symmetric field of the Hermitian theory of gravitation is shown to not disagree with the Eötvös–Dicke–Braginsky experiments for the equivalence principle. The modified Maxwell equations are calculated in the isotropic static spherically symmetric metric, and the role of the equivalence principle in the new theory is discussed in detail.

scholarly journals ANALYSIS OF THE STATIC AND SPHERICALLY-SYMMETRIC SOLUTION IN NDL THEORY OF GRAVITATION

2004 ◽  
Vol 13 (03) ◽  
pp. 527-537
Author(s):  
M. NOVELLO ◽  
S. E. PEREZ BERGLIAFFA ◽  
K. E. HIBBERD
Keyword(s):  
Equivalence Principle ◽  
Strong Field ◽  
Static Solution ◽  
Field Theories ◽  
Spherically Symmetric ◽  
Field Limit ◽  
Weak Equivalence Principle ◽  
Spherically Symmetric Solution ◽  
Theory Of Gravitation ◽  
Theories Of Gravitation

We investigate the static solution with spherical symmetry of a member of a recently proposed class of field theories of gravitation. In this so-called NDL theory, matter interacts with gravity in accordance with the Weak Equivalence Principle, while gravitons have a nonlinear self-interaction. It is shown that the predictions obtained from this solution agree with those of General Relativity in the three classic tests. There are potential differences in the strong-field limit, which we illustrate by proving that this theory does not allow the existence of static and spherically symmetric black holes.

Field equations in the neighbourhood of a particle in a conformal theory of gravitation

1968 ◽  
Vol 306 (1487) ◽  
pp. 487-501 ◽  
Keyword(s):  
Boundary Conditions ◽  
Special Solution ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Conformal Theory ◽  
Usual Form ◽  
Theory Of Gravitation ◽  
Spherically Symmetric Metric

The field equations in the neighbourhood of a particle for a spherically symmetric metric in the conformal theory of gravitation put forward by Hoyle & Narlikar are examined in detail. This metric is assumed to be of the usual form d s 2 = e v d t 2 —e λ d r 2 — r 2 (d θ 2 + sin 2 θ d ψ 2 ) where λ and v are functions of r only. Hoyle & Narlikar obtained a solution of the field equations under the assumption λ + v = 0. In this paper the case λ + v ǂ 0 is investigated, and it is shown that the only solution that satisfies all the boundary conditions is the special solution obtained by setting λ + v = 0. The significance of this result is discussed.

Field equations in the neighbourhood of a particle in a conformal theory of gravitation. II

1969 ◽  
Vol 313 (1512) ◽  
pp. 71-82 ◽  
Keyword(s):  
Local Geometry ◽  
Field Equations ◽  
Schwarzschild Solution ◽  
Conformal Theory ◽  
Conformally Invariant ◽  
Coordinate Singularity ◽  
Previous Solution ◽  
Theory Of Gravitation ◽  
Spherically Symmetric Metric ◽  
Radial Variable

The field equations in the neighbourhood of a particle for a spherically symmetric metric in the conformal theory of gravitation put forward by Hoyle & Narlikar are examined. As the theory is conformally invariant, one can use different but physically equivalent conformal frames to study the equations. Previously these equations were studied in a conformal frame which, though suitable far away from the isolated particle, turns out not to be suitable in the neighbourhood of the particle. In the present paper a solution in a conformal frame is obtained that is suitable for considering regions near the particle. The solution thus obtained differs from the previous one in several respects. For example, it has no coordinate singularity for any non-zero value of the radial variable, unlike the previous solution or the Schwarzschild solution. It is also shown with the use of this solution that in this theory distant matter has an effect on local geometry.

scholarly journals A Note on the Transformability of Spherically Symmetric Metrics

1953 ◽  
Vol 9 (1) ◽  
pp. 13-16 ◽  
Author(s):  
Paul Kustaanheimo
Keyword(s):  
Spherically Symmetric ◽  
Symmetric Metrics ◽  
Spherically Symmetric Metric

SummaryIt is shown that every spherically symmetric metric can be transformed into the isotropic form. As illustration an example is given.

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