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https://www.ias.ac.in/article/fulltext/pram/069/02/0159-0166

Bianchi type; scalar–tensor theory; cosmological term; scalar field.

In modified generalized scalar–tensor (GST) theory, the cosmological term 𝛬 is a function of the scalar field 𝜙 and its derivatives $\dot{\phi}^{2}$. We obtain exact solutions of the field equations in Bianchi Type-I, V and VIo space–times. The evolution of the scale factor, the scalar field and the cosmological term has been discussed. The Bianchi Type-I model has been discussed in detail. Further, Bianchi Type-V and VIo models can be studied on the lines similar to Bianchi Type-I model.

T Singh¹ R Chaubey¹

1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 221 005, India

Published

August 2007

Manuscript received

23 December 2005

Manuscript revised

11 January 2007

Accepted

6 March 2007