General spherically symmetric solution of the sourceless Yang-Mills equation for SO(4) and SO(3,1)

1977 ◽  
Vol 15 (8) ◽  
pp. 2405-2406 ◽  
Author(s):  
James S. Ball ◽  
Achin Sen
Keyword(s):  
Symmetric Solution ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Spherically Symmetric Solution

scholarly journals A FIVE-DIMENSIONAL SPHERICALLY SYMMETRIC SOLUTION IN EINSTEIN–YANG–MILLS THEORY WITH THE GAUSS–BONNET TERM

2009 ◽  
Vol 18 (04) ◽  
pp. 613-619 ◽  
Author(s):  
R. J. SLAGTER
Keyword(s):  
Cosmological Constant ◽  
Symmetric Solution ◽  
Spherically Symmetric ◽  
Point Boundary ◽  
Singular Behavior ◽  
Positive Cosmological Constant ◽  
Yang Mills ◽  
Profound Influence ◽  
Spherically Symmetric Solution ◽  
Bonnet Term

We present a numerical solution on a five-dimensional spherically symmetric space–time, in Einstein–Yang–Mills — Gauss–Bonnet theory, using a two-point boundary value routine. It turns out that the Gauss–Bonnet contribution has a profound influence on the behavior of the particle-like solution: it increases the number of nodes of the YM field. When a negative cosmological constant is incorporated in the model, it turns out that there is no horizon and no singular behavior of the model. For a positive cosmological constant the model has singular behavior.

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].

scholarly journals Testing Generalized Einstein-Cartan-Kibble-Sciama Gravity Using Weak Deflection Angle and Shadow Cast

2020 ◽  
Author(s):  
Ali Övgün ◽  
İzzet Sakallı
Keyword(s):  
Black Hole ◽  
Gravitational Lensing ◽  
Symmetric Solution ◽  
Deflection Angle ◽  
Spherically Symmetric ◽  
Plasma Medium ◽  
Asymptotically Flat ◽  
Spherically Symmetric Solution ◽  
Shadow Cast ◽  
Bonnet Theorem

In this paper, we use a new asymptotically flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity to study the weak gravitational lensing and its shadow cast. To this end, we first compute the weak deflection angle of generalized ECKS black hole using the Gauss–Bonnet theorem in plasma medium and in vacuum. Next by using the Newman-Janis algorithm without complexification, we derive the rotating generalized ECKS black hole and in the sequel study its shadow. Then, we discuss the effect of the ECKS parameter on the shadow of the black hole and weak deflection angle. In short, the goal of this paper is to give contribution to the ECKS theory and look for evidences to understand how the ECKS parameter effects the gravitational lensing.

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