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

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

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987lmaph..14..253h&link_type=abstract

Letters in Mathematical Physics, Volume 14, Issue 3, pp.253-262

Mathematics

Mathematical Physics

6

Scientific paper

The nonexistence of static solutions to pure Yang-Mills equations and
nonconstant harmonic maps defined on the Schwarzschild spacetime outside
the black hole ( r>2M) is considered. Nonexistence theorems for pure
Yang-Mills equations and harmonic maps in the region r⩾5M and
r⩾3M are obtained, respectively.

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