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

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

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987lmaph..14..343h&link_type=abstract

Letters in Mathematical Physics, Volume 14, Issue 4, pp.343-351

Mathematics

Mathematical Physics

6

Scientific paper

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≥2 M, as was conjectured in Lett. Math. Phys. 14, 253 (1987).

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