Scientific journal paper Q2
Spherical linear waves in de Sitter spacetime
João Costa (Costa, J. L.); Artur Alho (Alho, A.); José Natário (Natário, J.);
Journal Title
Journal of Mathematical Physics
Year (definitive publication)
2012
Language
English
Country
United States of America
More Information
Web of Science®

Times Cited: 9

(Last checked: 2025-04-15 01:27)

View record in Web of Science®


: 0.5
Scopus

Times Cited: 10

(Last checked: 2025-04-14 18:58)

View record in Scopus


: 0.6
Google Scholar

Times Cited: 13

(Last checked: 2025-04-13 17:59)

View record in Google Scholar

This publication is not indexed in Overton

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
--
Keywords
  • 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