Some homogeneous anisotropic cosmological models with constant deceleration parameter. (English) Zbl 0766.53066
Summary: M. S. Berman [Nuovo Cimento B 74, No. 2, 182-186 (1983)] presented a law of variation for Hubble’s parameter that yields constant deceleration parameter models of the universe. Applying this law, we have studied Bianchi-type cosmological models in a scalar coupling [D. Saez and V. J. Ballester, Phys. Lett. A 113, 467-470 (1986)] and time varying gravity [Y. K. Lau and S. J. Prokhovnik, Aust. J. Phys. 39, 339-346 (1986)] by means of an easy definition of overall Hubble and deceleration parameters. The evolutionary nature of physical parameters has been investigated. All the models have singularities at \(t=0\).
MSC:
53Z05 | Applications of differential geometry to physics |
83F05 | Relativistic cosmology |
83C20 | Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory |