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Nonexistence theorems for Yang-Mills fields and harmonic maps in the Schwarzschild spacetime (II)

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Abstract

We continue the study of the nonexistence of static pure Yang-Mills fields and harmonic maps defined on the Schwarzschild spacetime outside the black hole. Both the conditions on the regions and on the energy density are improved. For the case of harmonic maps, the region is precisely the best one, i.e., r≥2M, as was conjectured in Lett. Math. Phys. 14, 253 (1987).

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Authors and Affiliations

  1. Institute of Mathematics, Fudan University, Shanghai, China

    Hu Hesheng & Wu Siye

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  1. Hu Hesheng
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  2. Wu Siye
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Research supported by the Science Fund of the Chinese Academy of Sciences, Forschungsschwerpunkt Geometrie and SFB 123 of Heidelberg University.

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Hu, H., Wu, S. Nonexistence theorems for Yang-Mills fields and harmonic maps in the Schwarzschild spacetime (II). Lett Math Phys 14, 343–351 (1987). https://doi.org/10.1007/BF00402144

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  • DOI: https://doi.org/10.1007/BF00402144

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