Dark matter annihilation near a black hole: plateau vs. weak cusp

dc.creatorVasiliev, Eugene
dc.date2007-07-23
dc.date2007-12-01
dc.date.accessioned2026-07-07T11:41:34Z
dc.date.available2026-07-07T11:41:34Z
dc.descriptionDark matter annihilation in so-called ``spikes'' near black holes is believed to be an important method of indirect dark matter detection. In the case of circular particle orbits, the density profile of dark matter has a plateau at small radii, the maximal density being limited by the annihilation cross-section. However, in the general case of arbitrary velocity anisotropy the situation is different. Particulary, for isotropic velocity distribution the density profile cannot be shallower than r^{-1/2} in the very centre. Indeed, a detailed study reveals that in many cases the term ``annihilation plateau'' is misleading, as the density actually continues to rise towards small radii and forms a weak cusp, rho ~ r^{-(beta+1/2)}, where beta is the anisotropy coefficient. The annihilation flux, however, does not change much in the latter case, if averaged over an area larger than the annihilation radius.
dc.description4 pages, 3 figures. Matches published version
dc.identifierhttps://arxiv.org/abs/0707.3334
dc.identifierhttp://arxiv.org/abs/0707.3334
dc.identifierPhys.Rev.D76:103532,2007
dc.identifierdoi:10.1103/PhysRevD.76.103532
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200576
dc.subjectAstrophysics
dc.titleDark matter annihilation near a black hole: plateau vs. weak cusp
dc.typetext

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