Classical Solution of Field Equation of Gravitational Gauge Field and Classical Tests of Gauge Theory of Gravity

摘要

A systematic method is developed to study classical motion of a mass point ingravitational gauge field. First, the formulation of gauge theory of gravity inarbitrary curvilinear coordinates is given. Then in spherical coordinatessystem, a spherical symmetric solution of the field equation of gravitationalgauge field is obtained, which is just the Schwarzschild solution. In gaugetheory of gravity, the equation of motion of a classical mass point ingravitational gauge field is given by Newton's second law of motion. Arelativistic form of the gravitational force on a mass point is deduced in thispaper. Based on the spherical symmetric solution of the field equation andNewton's second law of motion, we can discuss classical tests of gauge theoryof gravity, including the deflection of light by the sun, the precession of theperihelia of the orbits of the inner planets and the time delay of radar echoespassing the sun. It is found that the theoretical predictions of theseclassical tests given by gauge theory of gravity are completely the same asthose given by general relativity. From the study in this paper, an importantqualitative conclusion on the nature of gravity is that gravity can be treatedas a kind of physical interactions in flat Minkowski space-time, and theequation of motion of mass point in gravitational field can be given byNewton's second law of motion.