Instabilities of Spherical Solutions with Multiple Galileons and SO(N) Symmetry

Details Instabilities of Spherical Solutions with Multiple Galileons and SO(N) Symmetry Instabilities of Spherical Solutions with Multiple Galileons and SO(N) Symmetry

2010-08-24

arxiv.org/abs/1008.4128v2

Phys.Rev.D83:044042,2011

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure, comments and references added, version appearing in PRD

Scientific paper

10.1103/PhysRevD.83.044042

The 4-dimensional effective theory arising from an induced gravity action for a co-dimension greater than one brane consists of multiple galileon fields pi^I, I=1...N, invariant under separate Galilean transformations for each scalar, and under an internal SO(N) symmetry. We study the viability of such models by examining spherically symmetric solutions. We find that for general, non-derivative couplings to matter invariant under the internal symmetry, such solutions exist and exhibit a Vainshtein screening effect. By studying perturbations about such solutions, we find both an inevitable gradient instability and fluctuations propagating at superluminal speeds. These findings suggest that more general, derivative couplings to matter are required for the viability of SO(N) galileon theories.

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