Cosmic No-Hair Conjecture In Scalar-Tensor Theories

TL;DR

This paper demonstrates that in scalar-tensor theories and Lyra's manifold, anisotropic cosmological models tend to evolve into de Sitter universes, confirming a version of the cosmic no-hair conjecture similar to Wald's theorem.

Contribution

It extends the cosmic no-hair theorem to scalar-tensor theories and Lyra's manifold, showing their cosmological models behave like those in general relativity during inflation.

Findings

Anisotropic Bianchi models evolve towards de Sitter space.

Cosmology in Lyra's manifold exhibits similar behavior to scalar-tensor theories.

The cosmic no-hair conjecture holds in these alternative theories.

Abstract

We have shown that, within the context of Scalar-Tensor theories, the anisotropic Bianchi-type cosmological models evolve towards de Sitter universe. A similar result holds in the case of cosmology in Lyra manifold. Thus the analogue of cosmic no-hair theorem of Wald (1983) hold in both the cases. In fact, during inflation there is no difference between scalar-tensor theories, Lyra's manifold and general relativity (GR).