Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-07-29
Class.Quant.Grav.26:248001,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages; minor simplifications in the notation; some comments withdrawn or rewritten after improvements in the new version (v3
Scientific paper
10.1088/0264-9381/26/24/248001
In Class. Quantum Grav. 26 (2009) 175006 (arXiv:0812.4333v3) Bizon et al discuss the power-law tail in the long-time evolution of a spherically symmetric self-gravitating massless scalar field in odd spatial dimensions. They derive explicit expressions for the leading order asymptotics for solutions with small initial data by using formal series expansions. Unfortunately, this approach misses an interesting observation that the actual decay rate is a product of asymptotic cancellations occurring due to a special structure of the nonlinear terms. Here, we show that one can calculate the leading asymptotics more directly by recognizing the special structure and cancellations already on the level of the wave equation.
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