Numerical study of cosmic no-hair conjecture: Formalism and linear analysis

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Abstract
Three-dimensional numerical relativity is applied to an investigation of the so-called "cosmic nohair conjecture," which has been proposed to explain the homogeneity and isotropy of the present Universe via the inflationary scenario. We present a general formalism to study this cosmological problem using numerical relativity. Following this formalism, we find general solutions of the linearized Einstein equation in the de Sitter background and discuss a homogenization mechanism in the linear regime.