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Bianchi type- I, III, V, VIo and Kantowski-Sachs models in scalar-tensor theories with dynamic cosmological constant
Authors:T Singh  R Chaubey
Institution:1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India
2. Department of Applied Mathematics, Indian Institute of Carpet Technology, Bhadohi, India
Abstract:The effect of a time-dependent cosmological constant is considered in a family of scalar-tensor theories. The Bianchi type I, III, V, VIo and Kantowski-Sachs models for vacuum and perfect fluid matter are found. The gravitational constant decreases with time so that these models satisfy the Dirac hypothesis. The “cosmological constant” also decreases with time, therefore it can have a very small value at the present time.
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