Late-time tails of self-gravitating skyrmions

Details Late-time tails of self-gravitating skyrmions Late-time tails of self-gravitating skyrmions

2010-01-26

arxiv.org/abs/1001.4818v2

Acta Phys.Polon.B42:249,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7pp; revised version - title changed, sects. 2 and 3 replaced by the new version of sect. 2 with new figure added, section on

Scientific paper

10.5506/APhysPolB.42.249

We consider the long-time behaviour of spherically symmetric solutions in the Einstein-Skyrme model. Using nonlinear perturbation analysis we obtain the leading order estimation of the tail in the topologically trivial sector (B = 0) of the model. We show that solutions starting from small compactly supported initial data decay as 1/t^4 at future timelike infinity and as 1/u^2 at future null infinity. We also verified that long-time behaviour for the tail in Einstein-Skyrme model is exactly the same as it was obtained for wave maps.

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