Fermion Absorption Cross Section and Topology of Spherically Symmetric Black Holes

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dc.creatorLiu, Yu-Xiao
dc.creatorZhao, Li
dc.creatorCao, Zhen-Bin
dc.creatorDuan, Yi-Shi
dc.date2007-02-18
dc.date2007-04-04
dc.date.accessioned2026-07-07T11:23:39Z
dc.date.available2026-07-07T11:23:39Z
dc.descriptionIn 1997, Liberati and Pollifrone in Phys. Rev. D56 (1997) 6458 (hep-th/9708014) achieved a new formulation of the Bekenstein-Hawking formula, where the entropy and the Euler characteristic are related by $S=χA/8$. In this work we present a relation between the low-energy absorption cross section for minimally coupled fermions and the Euler characteristic of (3+1)-dimensional spherically symmetric black holes, i.e. $σ=χg_h^{-1}A$. Based on the relation, using the Gauss--Bonnet--Chern theorem and the $ϕ$-mapping method, an absorption cross section density is introduced to describe the topology of the absorption cross section. It is shown that the absorption cross section and its density are determined by the singularities of the timelike Killing vector field of the spacetime and these singularities carry the topological numbers, Hopf indices and Brouwer degrees, naturally.
dc.description16 pages, no figures, accepted by Phys. Lett. B
dc.identifierhttps://arxiv.org/abs/hep-th/0702144
dc.identifierhttp://arxiv.org/abs/hep-th/0702144
dc.identifierPhys.Lett.B650:286-292,2007
dc.identifierdoi:10.1016/j.physletb.2007.04.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194959
dc.subjectHigh Energy Physics - Theory
dc.titleFermion Absorption Cross Section and Topology of Spherically Symmetric Black Holes
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