On the Asymptotic Stability of De-Sitter Spacetime: a non-linear perturbative approach

Details On the Asymptotic Stability of De-Sitter Spacetime: a non-linear perturbative approach On the Asymptotic Stability of De-Sitter Spacetime: a non-linear perturbative approach

2010-06-11

arxiv.org/abs/1006.2390v1

J. Phys. A: Math. Theor., 43 (2010) 165401

Physics

Mathematical Physics

11 pages, 2 figures

Scientific paper

We derive evolution and constraint equations for second order perturbations of flat dust homogeneous and isotropic solutions to the Einstein field equations using all scalar, vector and tensor perturbation modes. We show that the perturbations decay asymptotically in time and that the solutions converge to the De-Sitter solution. By induction, this result is valid for perturbations of arbitrary order. This is in agreement with the cosmic no-hair conjecture of Gibbons and Hawking.

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