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Báo cáo nghiên cứu khoa học: " AN APPROACH TO THREE CLASSICAL TESTS OF THE GENERAL THEORY OF RELATIVITY IN THE VECTOR MODEL FOR GRAVITATIONAL FIELD"

In this paper, based on the vector model for gravitational field we have found a metric tensor of the space –time that in the first order approximate it lead to the Schwarzschild metric tensor in the General Theory of Relativity(GTR). | TẠP CHÍ PHAT TRIEN KH CN TẬP 10 SO 03 - 2007 AN APPROACH TO THREE CLASSICAL TESTS OF THE GENERAL THEORY OF RELATIVITY IN THE VECTOR MODEL FOR GRAVITATIONAL FIELD Vo Van On University of Natural Sciences VNU-HCM Manuscript Received on July 05 th 2006 Manuscript Revised November 27th 2006 ABSTRACT In this paper based on the vector model for gravitational field we have found a metric tensor of the space -time that in the first order approximate it lead to the Schwarzschild metric tensor in the General Theory of Relativity GTR . Thus we have also obtained 3 classical tests of GTR in the Vector Model for Gravitational Field. 1.INTRODUCTION We have known that when using the equivalence principle in a very direct way Einstein made the first derivation of the red shift which appropriated good with experiments and he also predicted the deflection of the light rays in the gravitational field of the Sun but it only approached half of the experimental value. Some authors as R. Adler M. Bazin and M. Schiffer 1 Frank W.K.Firk 2 obtained the Schwarzschild metric tensor in the context of special relativity by using the equivalence principle however these approaches were difficult to understand. In this paper based on the vector model for gravitational field and the Special relativity we have found the metric tensor of the space -time that in the first order approximate it leads to the Schwarzschild metric tensor in GTR. This approach is a clear deduction. Thus we have also obtained 3 classical tests of GTR in the Vector Model for Gravitational Field. 2. SPACE AND TIME IN NON-INERTIAL REFERENCE FRAMES AND IN GRAVITATIONAL FIELD It is known that 3 4 time is uniform and space is both uniform and isotropic in inertial frames of reference. The geometrical properties of uniform and isotropic space can be described by Euclidean geometry. In uniform and isotropic space the length of line segments do not depend upon the region of space they are in. We divide the axes of coordinates into .