A static spherically symmetric solution in Einstein–Cartan theory of gravitation

2018 ◽  
Vol 93 (4) ◽  
pp. 543-552
Author(s):  
L. N. Katkar ◽  
D. R. Phadatare
Keyword(s):  
Symmetric Solution ◽  
Spherically Symmetric ◽  
Spherically Symmetric Solution ◽  
Theory Of Gravitation ◽  
Cartan Theory

Experimental tests of a new theory of gravitation

1981 ◽  
Vol 59 (2) ◽  
pp. 283-288 ◽  
Author(s):  
J. W. Moffat
Keyword(s):  
Upper Bound ◽  
Symmetric Solution ◽  
Satellite Orbit ◽  
Experimental Tests ◽  
Spherically Symmetric ◽  
The Sun ◽  
Field Equations ◽  
Spherically Symmetric Solution ◽  
Perihelion Shift ◽  
Theory Of Gravitation

The predictions for the perihelion shift, the deflection of light, and the delay time of a light ray are calculated in the nonsymmetric theory of gravitation. An upper bound for the parameter l (that occurs as a constant of integration in the static, spherically symmetric solution of the field equations) is obtained for the sun for the experimental value of the perihelion shift of Mercury, yielding [Formula: see text]. The upper bound on [Formula: see text] obtained from the Viking spacecraft time-delay experiment is [Formula: see text]. For [Formula: see text], we find that the theory is consistent with the standard relativistic experiments for the solar system. The theory predicts that the perihelion of a satellite could reverse its direction of precession if it orbits close enough to the sun. The results for a highly eccentric satellite orbit are calculated in terms of the value [Formula: see text].

A Metric Theory of Gravitation without Minimal Coupling of Matter and Gravitational Field

1976 ◽  
Vol 31 (12) ◽  
pp. 1451-1456 ◽  
Author(s):  
H. Goenner
Keyword(s):  
Gravitational Collapse ◽  
Symmetric Solution ◽  
Free Parameter ◽  
Universal Constant ◽  
Matter Density ◽  
Spherically Symmetric ◽  
Material System ◽  
Minimal Coupling ◽  
Spherically Symmetric Solution ◽  
Theory Of Gravitation

Abstract A metric theory of gravitation is suggested which reduces to Einstein's theory in the case of vanishing matter. If matter is present, in the Lagrangian formulation of the theory the principle of minimal coupling is given up by directly linking the matter variables to the curvature tensor. The theory contains a free parameter of dimension length. It is considered not to be a universal constant but a length characteristic for the mass of the material system described. Results diverging from those of General Relativity are to be expected for regions with high curvature i. e. especially for gravitational collapse and dense phases of the cosmos. An exact, static and spherically symmetric solution with constant matter density is discussed; it indicates that, possibly, gravitational collapse is avoided.

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