Late-time tails of a self-gravitating massless scalar field, revisited

Details Late-time tails of a self-gravitating massless scalar field, revisited Late-time tails of a self-gravitating massless scalar field, revisited

2008-12-23

arxiv.org/abs/0812.4333v3

Class.Quant.Grav.26:175006,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 6 figures, one reference added, updated to conform with published version

Scientific paper

10.1088/0264-9381/26/17/175006

We discuss the nonlinear origin of the power-law tail in the long-time evolution of a spherically symmetric self-gravitating massless scalar field in even-dimensional spacetimes. Using third-order perturbation method, we derive explicit expressions for the tail (the decay rate and the amplitude) for solutions starting from small initial data and we verify this prediction via numerical integration of the Einstein-scalar field equations in four and six dimensions. Our results show that the coincidence of decay rates of linear and nonlinear tails in four dimensions (which has misguided some tail hunters in the past) is in a sense accidental and does not hold in higher dimensions.

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