Inhomogeneus Inflation and Cosmic no-Hair Conjecture

TL;DR

This paper investigates the cosmic no-hair conjecture within inhomogeneous cosmologies, deriving new solutions with interacting fluids and a cosmological constant, and confirms the conjecture's validity at late times.

Contribution

It introduces a new class of exact inhomogeneous cosmological solutions with interacting fluids and a cosmological constant, extending previous models and testing the cosmic no-hair conjecture.

Findings

Late time behavior aligns with the cosmic no-hair theorem.

Derived solutions generalize de Sitter and Szekeres-type cosmologies.

Models include a mixture of two interacting fluids plus a Lambda-term.

Abstract

The cosmic no hair conjecture is tested for a large class of inhomogeneous cosmologies with a positive cosmological constant. Firstly, we derive a new class of exact inhomogeneous cosmological solutions whose matter content of the models is formed by a mixture of two interacting simple fluids plus a cosmological Lambda-term. These models generalize the de Sitter spacetime and the inhomogeneous two-fluid Szekeres-type cosmologies derived by Lima and Tiomno. Finally, we show that the late time behaviour of our solutions is in agreement with the "cosmic no hair theorem" of Hawking and Moss.