Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-02-18
Phys.Lett.B650:286-292,2007
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, no figures, accepted by Phys. Lett. B
Scientific paper
10.1016/j.physletb.2007.04.001
In 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 $S=\chi A/8$. 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. $\sigma =\chi g_h^{-1}A$. Based on the relation, using the Gauss--Bonnet--Chern theorem and the $\phi$-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.
Cao Zhen-Bin
Duan Yi-Shi
Liu Yu-Xiao
Zhao Li
No associations
LandOfFree
Fermion Absorption Cross Section and Topology of Spherically Symmetric Black Holes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fermion Absorption Cross Section and Topology of Spherically Symmetric Black Holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fermion Absorption Cross Section and Topology of Spherically Symmetric Black Holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-591470