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Một mô hình vũ trụ không dừng trong mô hình véctơ cho trường hấp dẫn

Trong bài báo này, dựa trên Mô hình véctơ cho trường hấp dẫn chúng tôi thu được các phương trình Friedman cải tiến, nó tương tự với các phương trình Friedman cổ điển nhưng được bổ xung thêm một số hạng chứa tenxơ năng – xung lượng của trường hấp dẫn. Mô hình vũ trụ không dừng trong mô hình này cũng tương tự với mô hình vũ trụ không dừng trong lý thuyết Einstein nhưng tốc độ giãn nở của vũ trụ trong giai đoạn vacuum lại khác. | Science & Technology Development, Vol 14, No.T1- 2011 A NON- STATIC COSMOLOGICAL MODEL IN THE VECTOR MODEL FOR GRAVITATIONAL FIELD Vo Van On Thu Dau Mot University (Manuscript Received on October 21th, 2010, Manuscript Revised July 26 th, 2011) ABSTRACT: In this paper, based on the vector model for gravitational field we obtained the modified Friedman equations, which were similar to the classical Friedman equations but were added a term of energy – momentum tensor of gravitational field. Non- static flat cosmological model in this model was similar to General Theory of Relativity (GTR) ‘s model but the expansive rate in the vacuum age was difference with General Theory of Relativity ’s model. Keywords: non-static flat cosmological model; modified Friedman equations; expansive ages gravitational field and also obtained the 1. INTRODUCTION modified Einstein ‘s equation in this model as In the previous papers [1, 2, 3, 4], we have constructed a vector model follows for 1 8 G R g R g 4 TMg . Tg . 2 c where TMg , is the energy – momentum tensor of matter, (1) 2. THE FRIEDMAN - ROBERTSON – WALKER METRIC AND THE MODIFIED FRIEDMAN EQUATIONS Tg , is the energy – momentum tensor of gravitational field. We consider a cosmological solution in this model. We assume that matter distribute homogenous and isotropic in the Universe. In this paper we shall use this equation to This is the Cosmological principle (the deduce the modified Friedman ‘s equations and Copernican principle). With this assumption, investigate a non – static flat cosmological the metric of the Universe has the standard model. The outline of the paper is organized as Friedman- Robertson – Walker form[5, 6] on follows : Sec. I, Introduction; in Sec. II, we the co – moving coordinate system determine the average strength of gravitational ‘s equations; in Sec. III, we investigate the dr 2 r 2 d 2 ds2 c 2 dt 2 R 2 (t ) 2 1 .