A New Static Spherically Symmetric Solution of Einstein's Unified Field Theory

1955 ◽  
Vol 68 (3) ◽  
pp. 260-262 ◽  
Author(s):  
P C Vaidya
Keyword(s):  
Field Theory ◽  
Symmetric Solution ◽  
Spherically Symmetric ◽  
Unified Field Theory ◽  
Unified Field ◽  
Spherically Symmetric Solution

Treatment of a static spherically symmetric matter distribution on the basis of the projective unified field theory

1990 ◽  
Vol 311 (6) ◽  
pp. 343-350 ◽  
Author(s):  
R. M. Avakian ◽  
E. V. Chubarian ◽  
A. V. Sarkissian ◽  
E. Schmutzer
Keyword(s):  
Field Theory ◽  
Spherically Symmetric ◽  
Unified Field Theory ◽  
Matter Distribution ◽  
Unified Field

The General Static Spherically Symmetric Solution of the "Weak" Unified Field Equations

1962 ◽  
Vol 14 ◽  
pp. 568-576 ◽  
Author(s):  
J. R. Vanstone
Keyword(s):  
Ricci Tensor ◽  
Spherically Symmetric ◽  
Dimensional Manifold ◽  
Unified Field Theory ◽  
Field Equations ◽  
Unified Field ◽  
Spherically Symmetric Solution ◽  
Geometric Objects ◽  
Symmetric Connection ◽  
Image Position

In 1947 Einstein and Strauss (2) proposed a unified field theory based on a four-dimensional manifold characterized by a nonsymmetric tensor gij and a non-symmetric connection , where(1)Using a variational principle in which gij and are independently varied, the above authors obtain the equivalent of the following field equations:(2a)(2b)In these equations a comma denotes partial differentiation with respect to the co-ordinates of the manifold, Wij is the Ricci tensor formed from and the notationfor the symmetric and skew-symmetric parts of geometric objects Q is employed.

The general static spherically symmetric solution in Einstein’s unified field theory

1952 ◽  
Vol 210 (1102) ◽  
pp. 427-434 ◽  
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Spherically Symmetric ◽  
Unified Field Theory ◽  
Singular Surfaces ◽  
Field Equations ◽  
Unified Field ◽  
Spherically Symmetric Solution ◽  
Spherically Symmetric Solutions ◽  
Static Spherically Symmetric Solutions

The static spherically symmetric solutions of Einstein’s unified field equations previously given refer to an electric field alone or to a magnetic field alone. The general solutions in the case where both types of field exist together are now derived. After appropriate boundary conditions have been applied, the solutions may be interpreted to represent a magnetic field arising from a point pole, and an electric field arising from a dispersed charge distribution, but tending asymptotically to that of a point charge. The solutions have an infinity of singular surfaces, contain no arbitrary constant corresponding to the mass of the system, and in them the charge distributions contain both positive and negative electricity at different places. It appears that the only static spherically symmetric solutions likely to have any physical significance are certain of those referring to an electric field alone.

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