BIANCHI TYPE-I COSMOLOGICAL MODELS WITH VARIABLE-G AND LAMBDA

Einstein's equations with variable G and A scalars are considered for a Bianchi type I metric. A solution is found in which the cosmological term varies inversely with the square of time. As in the case of the flat Friedmann-Lemaitre-Robertson-Walker (FLRW) models discussed recently, there is then no dimensional constant associated with A. However, it is shown that the time behaviour of Bianchi type I inflationary solutions cannot be of the pure de Sitter type. This shows that if the flat FLRW inflationary solutions previously considered are perturbed by the introduction of Bianchi type I anisotropy, then the time evolution may be perturbed from the pure exponential form.