Anisotropic Bianchi type-I models with constant deceleration parameter in general relativity

被引:70
|
作者
Kumar, Suresh [1 ]
Singh, C. P. [1 ]
机构
[1] Delhi Coll Engn, Dept Appl Math, Delhi 110042, India
关键词
Hubble's parameter; deceleration parameter; cosmological models; Bianchi space-time;
D O I
10.1007/s10509-007-9623-4
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A special law of variation for Hubble's parameter is presented in a spatially homogeneous and anisotropic Bianchi type-I space-time that yields a constant value of deceleration parameter. Using the law of variation for Hubble's parameter, exact solutions of Einstein's field equations are obtained for Bianchi-I space-time filled with perfect fluid in two different cases where the universe exhibits power-law and exponential expansion. It is found that the solutions are consistent with the recent observations of type Ia supernovae. A detailed study of physical and kinematical properties of the models is carried out.
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页码:57 / 62
页数:6
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