Hawking temperature as the total Gauss–Bonnet invariant of the region outside a black hole

Abstract We provide two novel ways to compute the surface gravity ( $$\kappa $$ κ ) and the Hawking temperature $$(T_{H})$$ ( T H ) of a stationary black hole: in the first method $$T_{H}$$ T H is given as the three-volume integral of the Gauss–Bonnet invariant (or the Kretschmann scalar for Ricci-f...

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Bibliographic Details
Main Authors: Emel Altas, Bayram Tekin
Format: Article
Language:English
Published: SpringerOpen 2023-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11594-9