Cosmic baldness and stability

Physics

Scientific paper

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Big Bang Cosmology, Metric Space, Perturbation Theory, Space-Time Functions, Systems Stability, Time Dependence, Wave Scattering

Scientific paper

The stability of the de Sitter metric and the relevance of the initial state of a domain which approaches a de Sitter universe asymptotically are investigated analytically, adapting the one-dimensional wave equation with effective potential derived by Khanal and Panchapakesan (1981), for the perturbations of the de Sitter-Schwarzschild metric, to the de Sitter case. It is demonstrated that initial nonspherical perturbations do not increase exponentially with time but rather decay, the frozen modes exponentially and the backscattered perturbations of finite angular momentum l as t to the -(2l - l). It is concluded that the cosmic horizon is stable and has no 'hair'.

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