Causality and the Skyrme Model

Abstract

It is shown that despite the possibility of a breakdown of hyperbolicity, the SU(2) Skyrme model can never exhibit bulk violations of Einstein causality because its energy momentum tensor satisfies the dominant energy condition. It also satisfies the strong energy condition. The Born-Infeld-Skyrme model also satisfies both the dominant and strong energy conditions.

6 pages Latex, no figures

References in corpus (1)

• Cosmological Evolution of the Rolling Tachyon

Cited by in corpus (14)

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• Energy conditions in arbitrary dimensions
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• Black hole and BTZ-black string in the Einstein-SU(2) Skyrme model
• Spherical Skyrmion black holes as gravitational lenses
• Hairy AdS black holes with a toroidal horizon in 4D Einstein-nonlinear $\sigma$-model system
• Regular hyperbolicity, dominant energy condition and causality for Lagrangian theory of maps
• Solitons in a cavity for the Einstein-SU(2) Non-linear Sigma Model and Skyrme model
• Perfect fluids from high power sigma-models
• Parallel waves in Einstein-non linear sigma models
• Global wellposedness of hedgehog solutions for the (3+1) Skyrme model
• Nontrivial Causal Structures Engendered by Knotted Solitons
• Inspecting Baby Skyrmions with Effective Metrics