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Non-minimal pp-wave Einstein–Yang–Mills–Higgs model: color cross-effects induced by curvature

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Abstract

Non-minimal interactions in the pp-wave Einstein–Yang–Mills–Higgs (EYMH) model are shown to give rise to color cross-effects analogous to the magneto-electricity in the Maxwell theory. In order to illustrate the significance of these color cross-effects, we reconstruct the effective (associated, color, and color-acoustic) metrics for the pp-wave non-minimal seven-parameter EYMH model with parallel gauge and scalar background fields. Then these metrics are used as hints for obtaining explicit exact solutions of the non-minimally extended Yang–Mills and Higgs equations for the test fields propagating in the vacuum interacting with curvature. The influence of the non-minimal coupling on the test particle motion is interpreted in terms of the so-called trapped surfaces, introduced in the Analog Gravity theory.

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Authors and Affiliations

  1. Kazan State University, Kremlevskaya Street 18, 420008, Kazan, Russia

    Alexander Balakin & Alexei Zayats

  2. Fachbereich Physik, Universität Konstanz, Fach M677, 78457, Konstanz, Germany

    Heinz Dehnen

Authors
  1. Alexander Balakin
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  2. Heinz Dehnen
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  3. Alexei Zayats
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Correspondence to Alexei Zayats.

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Balakin, A., Dehnen, H. & Zayats, A. Non-minimal pp-wave Einstein–Yang–Mills–Higgs model: color cross-effects induced by curvature. Gen Relativ Gravit 40, 2493–2513 (2008). https://doi.org/10.1007/s10714-008-0634-4

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  • DOI: https://doi.org/10.1007/s10714-008-0634-4

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