A Cosmological No-Hair Theorem
Chris M. Chambers, Ian G. Moss
TL;DR
This paper generalizes Price's theorem to inflationary cosmologies, demonstrating that no static solutions exist for certain perturbation modes on a Schwarzschild--de Sitter background, implying stability features.
Contribution
It extends Price's theorem to inflationary cosmologies, showing the absence of static solutions for specific perturbation modes in a Schwarzschild--de Sitter background.
Findings
No static solutions for modes with angular momentum greater than their spin.
Generalization of Price's theorem to inflationary cosmologies.
Implications for stability of Schwarzschild--de Sitter backgrounds.
Abstract
A generalisation of Price's theorem is given for application to Inflationary Cosmologies. Namely, we show that on a Schwarzschild--de Sitter background there are no static solutions to the wave or gravitational perturbation equations for modes with angular momentum greater than their intrinsic spin.
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