scholarly journals Symmetry operators for the conformal wave equation in rotating black hole spacetimes

2021 ◽  
Vol 104 (8) ◽  
Author(s):  
Finnian Gray ◽  
Tsuyoshi Houri ◽  
David Kubizňák ◽  
Yukinori Yasui
Keyword(s):  
Black Hole ◽  
Wave Equation ◽  
Rotating Black Hole ◽  
Black Hole Spacetimes ◽  
Symmetry Operators

scholarly journals UNITARITY ISSUE IN BTZ BLACK HOLES

2006 ◽  
Vol 21 (22) ◽  
pp. 1737-1748 ◽  
Author(s):  
Y. S. MYUNG ◽  
H. W. LEE
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Wave Equation ◽  
Three Dimensional ◽  
Btz Black Hole ◽  
Unitary Evolution ◽  
Potential Analysis ◽  
Black Hole Spacetimes ◽  
Ads Spacetime ◽  
Extremal Black Holes

We study the wave equation for a massive scalar in three-dimensional AdS-black hole spacetimes to understand the unitarity issues in a semiclassical way. Here we introduce four interesting spacetimes: the non-rotating BTZ black hole (NBTZ), pure AdS spacetime (PADS), massless BTZ black hole (MBTZ), and extremal BTZ black hole (EBTZ). Our method is based on the potential analysis and solving the wave equation to find the condition for the frequency ω exactly. In the NBTZ case, one finds the quasinormal (complex and discrete) modes which signals for a non-unitary evolution. Real and discrete modes are found for the PADS case, which means that it is unitary obviously. On the other hand, we find real and continuous modes for the two extremal black holes of MBTZ and EBTZ. It suggests that these could be candidates for the unitary system.

Some applications

2020 ◽  
pp. 85-114
Author(s):  
Piotr T. Chruściel
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Wave Equation ◽  
Black Hole Thermodynamics ◽  
Splitting Theorem ◽  
Short Discussion ◽  
Area Theorem ◽  
Black Hole Spacetimes ◽  
Singularity Theorems ◽  
Incompleteness Theorems

The aim of this chapter is to present key applications of causality theory, as relevant to black-hole spacetimes. For this we need to introduce the concept of conformal completions, which is done in Section 3.1. We continue, in Section 3.2, with a review of the null splitting theorem of Galloway. Section 3.3 contains complete proofs of a few versions of the topological censorship theorems, which are otherwise scattered across the literature, and which play a basic role in understanding the topology of black holes. In Section 3.4 we review some key incompleteness theorems, also known under the name of singularity theorems. Section 3.5 is devoted to the presentation of a few versions of the area theorem, which is a cornerstones of ‘black-hole thermodynamics’. We close this chapter with a short discussion of the role played by causality theory when studying the wave equation.

scholarly journals Electron in higher-dimensional weakly charged rotating black hole spacetimes

2013 ◽  
Vol 87 (6) ◽  
Author(s):  
Marco Cariglia ◽  
Valeri P. Frolov ◽  
Pavel Krtouš ◽  
David Kubizňák
Keyword(s):  
Black Hole ◽  
Rotating Black Hole ◽  
Black Hole Spacetimes ◽  
Higher Dimensional
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