On the skyrmion number of Schwarzschild black holes

Details On the skyrmion number of Schwarzschild black holes On the skyrmion number of Schwarzschild black holes

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phla..126..307l&link_type=abstract

Physics Letters A, Volume 126, Issue 5-6, p. 307-310.

Physics

4

Scientific paper

It is shown that the coupled Skyrme-Einstein equations of motion do not admit any Schwarzschild-like solution with nonzero topological number. A Schwarzschild black hole thus has no ``skymion hair''. More general static, spherically symmetric solutions with a horizon are discussed. Solutions with nonzero skymion number exist, but are unlikely to be stable.

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