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Regular scalar field around reflecting stars and black holes, and reflecting star polarization
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The existence of a regular non-trivial scalar field in the background of an asymptotically flat static reflecting star is discussed. The scalar field is assumed to be conformally coupled to the outside matter. The induced scalar charge is determined and the required conditions to have regular field are obtained. The results are compared with the case of a black hole. Conditions to have regular non-trivial scalar field out of the black hole horizon are investigated. We show that in the presence of a scalar source, in contrast to the black holes, the reflecting star becomes polarized.
Forward citations
Cited by 2 Pith papers
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No skyrmion hair for stationary spherically symmetric reflecting stars
A spherically symmetric reflecting star cannot support a nontrivial Skyrme field outside its surface, so it carries no skyrmion hair and no baryon number.
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Spontaneous scalarization around a black hole in a dark matter halo
A Hernquist dark-matter halo is claimed to scalarize a central black hole, with the coupling quantized as η_n = −(n+1/2)²π³/(2C), but the mechanism requires ρ−p>0 while the paper's own formulas give ρ−p<0.
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