2020/09/30 by Cesim K. Dumlu · 10 citations
Mathematics · Physics and Astronomy · #Action (physics) #Angular momentum #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Entropy (arrow of time) #Hawking radiation #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Semiclassical physics #WKB approximation #hep-th
paper · pdf · doi:10.1103/physrevd.102.125006
published in Physical review. D/Physical review. D. 102(12) (American Physical Society) · 21 pages, 5 figures Published in PRD
openalex publication_date 2020/12/03 · arxiv created 2021/01/25 · arxiv updated 2021/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the semiclassical decay rate for Kerr black hole by deriving a one-way connection formula, relating the near horizon solution to the outgoing solution at infinity. In particular, we discuss the relevance of the Stokes phenomenon and show how it leads to a Boltzmann-like thermal weight factor by making use of the Stokes diagrams. We also give the exact result for the semiclassical greybody factor e^\ensuremath-2S, where S is the leading order WKB action. We contrast our results with the work of Maldacena and Strominger [Phys. Rev. D 56, 4975 (1997), where the emission spectrum for a rotating black hole was computed locally via asymptotic matching. We find that the relative error of semiclassical decay rate with respect to asymptotic matching formula diminishes in the limit of large angular momentum, l, as expected. In this limit, the action assumes a compact form: 2S\ensuremath∼(2l+1)(Log(\frac16z0)\ensuremath-1), where z0 is the cross ratio formed by the critical points (zeros) of the scattering potential.