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Publication Detailed Description
Journal Title
Journal of Mathematical Physics
Year (definitive publication)
2012
Language
English
Country
United States of America
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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.
Acknowledgements
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Keywords
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| PTDC/MAT/108921/2008 | Fundação para a Ciência e a Tecnologia |
| SFRH/BD/48658/2008 | Fundação para a Ciência e a Tecnologia |
| CERN/FP/116377/2010 | Fundação para a Ciência e a Tecnologia |
