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arXiv · 1107.0802

Spherical linear waves in de Sitter spacetime

Joao L. Costa·Artur Alho·Jose Natario
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Abstract

We apply Christodoulou's framework, developed to study the Einstein-scalar field equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a first step towards the Einstein-scalar field equations with positive cosmological constant. We obtain an integro-differential evolution equation which we solve by taking initial data on a null cone. As a corollary we obtain elementary derivations of expected properties of linear waves in de Sitter spacetime: boundedness in terms of (characteristic) initial data, and a Price law establishing uniform exponential decay, in Bondi time, to a constant.

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Joao L. Costa, Artur Alho, Jose Natario. 2011-07-05. Spherical linear waves in de Sitter spacetime. https://doi.org/10.1063/1.4721644

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