Spherical linear waves in de Sitter spacetime

Details Spherical linear waves in de Sitter spacetime Spherical linear waves in de Sitter spacetime

2011-07-05

arxiv.org/abs/1107.0802v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 1 figure

Scientific paper

With the Einstein-scalar field equations with positive cosmological constant in mind, we employ Christodoulou's framework, developed to study the vanishing cosmological constant case, to spherically symmetric solutions of the linear wave equation in de Sitter spacetime. We obtain an integro-differentiable 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 pointwise exponential decay, in Bondi time, to a constant.

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