Embolic aspects of black hole entropy
Dec 8, 20178 pages
Published in:
- Int.J.Geom.Meth.Mod.Phys. 15 (2018) 10, 1850175,
- APS Physics 15 (2018) 1850175
- Published: Aug 23, 2018
e-Print:
- 1712.02978 [gr-qc]
View in:
Citations per year
0 Citations
Abstract: (WSP)
We attempt to provide a mesoscopic treatment of the origin of black hole entropy in (3 + 1)-dimensional spacetimes. We treat the case of horizons having space-like sections Σ which are topological spheres, following Hawking’s and the Topological Censorship theorems. We use the injectivity radius of the induced metric on Σ to encode the linear dimensions of the elementary cells giving rise to such entropy. We use the topological entropy of Σ as the fundamental quantity expressing the complexity of Σ on which its entropy depends. We point out the significance, in this context, of the Berger and Croke isoembolic inequalities.Note:
- 11 pages. No figures. LaTeX2e. Final form, to be published in the Int. J. Geom. Methods Mod. Physics
- Riemannian geometry
- isoembolic inequalities
- black holes
- entropy
- topological censorship
- black hole: entropy
- entropy: topological
- metric: induced
- space-time
- horizon
References(35)
Figures(0)
- [1]
- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [20]
- [21]
- [22]
- [23]
- [24]
- [25]