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Article overview
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Skyrmion Black Hole Hair: Conservation of Baryon Number by Black Holes and Observable Manifestations | Gia Dvali
; Alexander Gußmann
; | Date: |
2 May 2016 | Abstract: | We show that the existence of black holes with classical skyrmion hair
invalidates standard proofs that global charges, such as the baryon number,
cannot be conserved by a black hole. By carefully analyzing the standard
arguments based on a Gedankenexperiment in which a black hole is
seemingly-unable to return the baryon number that it swallowed, we identify
inconsistencies in this reasoning, which does not take into the account neither
the existence of skyrmion black holes nor the baryon/skyrmion correspondence.
We then perform a refined Gedankenexperiment by incorporating the new knowledge
and show that no contradiction with conservation of baryon number takes place
at any stage of black hole evolution. Our analysis also indicates no conflict
between semi-classical black holes and the existence of baryonic gauge
interaction arbitrarily-weaker than gravity. Next, we study classical cross
sections of a minimally-coupled massless probe scalar field scattered by a
skyrmion black hole. We investigate how the skyrmion hair manifests itself by
comparing this cross section with the analogous cross section caused by a
Schwarzschild black hole which has the same ADM mass as the skyrmion black
hole. Here we find an order-one difference in the positions of the
characteristic peaks in the cross sections. The peaks are shifted to smaller
scattering angles when the skyrmion hair is present. This comes from the fact
that the skyrmion hair changes the near horizon geometry of the black hole when
compared to a Schwarzschild black hole with same ADM mass. We keep the study of
this second aspect general so that the qualitative results which we obtain can
also be applied to black holes with classical hair of different kind. | Source: | arXiv, 1605.0543 | Services: | Forum | Review | PDF | Favorites |
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