Entropy production and entropic attractors in black hole fusion and fission
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Springer
Received: June 12, 2020 Accepted: July 22, 2020 Published: August 20, 2020
Entropy production and entropic attractors in black hole fusion and fission
a
Departament de F´ısica Qu` antica i Astrof´ısica, Institut de Ci`encies del Cosmos, Universitat de Barcelona, Mart´ı i Franqu`es 1, E-08028 Barcelona, Spain b Instituci´ o Catalana de Recerca i Estudis Avan¸cats (ICREA), Passeig Llu´ıs Companys 23, E-08010 Barcelona, Spain c Department of Physics, Osaka City University, Sugimoto 3-3-138, Osaka 558-8585, Japan
E-mail: [email protected], [email protected], [email protected], [email protected], [email protected], [email protected] Abstract: We study how black hole entropy is generated and the role it plays in several highly dynamical processes: the decay of unstable black strings and ultraspinning black holes; the fusion of two rotating black holes; and the subsequent fission of the merged system into two black holes that fly apart (which can occur in dimension D ≥ 6, with a mild violation of cosmic censorship). Our approach uses the effective theory of black holes at D → ∞, but we expect our main conclusions to hold at finite D. Black hole fusion is highly irreversible, while fission, which follows the pattern of the decay of black strings, generates comparatively less entropy. In 2 → 1 → 2 black hole collisions an intermediate, quasi-thermalized state forms that then fissions. This intermediate state erases much of the memory of the initial states and acts as an attractor funneling the evolution of the collision towards a small subset of outgoing parameters, which is narrower the closer the total angular momentum is to the critical value for fission. Entropy maximization provides a very good guide for predicting the final outgoing states. Along our study, we clarify how entropy production and irreversibility appear in the large D effective theory. We also extend the study of the stability of new black hole phases (black bars and dumbbells). Finally, we discuss entropy production through charge diffusion in collisions of charged black holes. Keywords: Black Holes, Classical Theories of Gravity ArXiv ePrint: 2005.14498
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP08(2020)098
JHEP08(2020)098
Tom´ as Andrade,a Roberto Emparan,a,b Aron Jansen,a David Licht,a Raimon Lunaa and Ryotaku Suzukia,c
Contents 1 Introduction and summary
2 7 8 9 11
3 General features of black hole collisions 3.1 Brane blobology 3.2 Phase diagrams and the outcomes of collisions 3.3 2 → 1 vs. 2 → 1 → N 3.4 Kinematics, entropy and geometry of the collisions
11 11 12 15 16
4 Entropy production 4.1 1 → N : decay and fission of unstable black strings and black holes 4.2 2 → 1: fusion ⇒ thermalization 4.3 2 → 1 → 2: fusion ⇒ quasi-thermalization ⇒ fission
18 18 20 21
5 Scattering of black holes and entropic attractors 5.1 2 → 1 → 2: in & out 5.2 Entropy increase 5.3 Entropic attractors
22 22 24 26
6 Charge diffusion in black holes 6.1 Entropy generation in charged fusion and
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