各向异性Bianchi-II时空中质量弦的Lyra宇宙学
Lyra's Cosmology of Massive String in Anisotropic Bianchi-II Space-time
摘要：
本文讨论了Lyra流形上的空间均匀、各向异性的Bianchi II宇宙学模型，它代表了正规规范下的质量弦。应用哈勃参数的变分律求解了修正的爱因斯坦场方程。该定律产生两种类型的平均标度因子的解，一种是幂律型，另一种是指数律型。幂律描述了宇宙从大爆炸到现在的动力学，而指数律似乎可以预测未来宇宙的动力学。与Halford（1970）合作的位移量$(β)$是时间的减函数，在较晚的时间接近小正值，这一结果也是最近对Ia超新星的观测结果。研究表明，大质量弦在早期宇宙中占主导地位，并最终在足够长的时间内从宇宙中消失，这与目前的天文观测相一致。
英文摘要：
The paper deals with a spatially homogeneous and totally anisotropic Bianchi II cosmological models representing massive strings in normal gauge for Lyra's manifold. The modified Einstein's field equations have been solved by applying variation law for Hubble's parameter. This law generates two type of solutions for average scale factor, one is of power law type and other is of exponential law type. The power law describes the dynamics of Universe from big bang to present epoch while exponential law seems reasonable to project dynamics of future Universe. It has been found that the displacement actor $(β)$ is a decreasing function of time and it approaches to small positive value at late time, which is collaborated with Halford (1970) as well as recent observations of SN Ia. The study reveals that massive strings dominate in early Universe and eventually disappear from Universe for sufficiently large time, which is in agreement with the current astronomical observations.
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