×

A simple proof of a no-hair theorem in Einstein-Higgs theory. (English) Zbl 0816.53068

Summary: We give a new simple proof of the fact that there are no non-trivial black holes with a regular horizon in Einstein-Higgs theory with any number of scalar fields and an arbitrary potential. We also give a brief discussion on the contrast between this theory and the Einstein-Yang- Mills theory that is responsible for the difference in the set of solutions allowed by each one.

MSC:

53Z05 Applications of differential geometry to physics
83C57 Black holes
83C75 Space-time singularities, cosmic censorship, etc.
PDFBibTeX XMLCite
Full Text: DOI