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V. Jahnke, K.-Y. Kim and J. Yoon, On the Chaos Bound in Rotating Black Holes , JHEP 05
Original
1903
Earlier work this paper cites.
U. Moitra, S. K. Sake, S. P. Trivedi and V. Vishal, Jackiw-Teitelboim Gravity and Rotating Black Holes , 1905.10378
Original
1905
Earlier work this paper cites.
A. Castro and V. Godet, Breaking away from the near horizon of extreme Kerr , 1906.09083
Original
1906
Earlier work this paper cites.
I. Halder, Global Symmetry and Maximal Chaos , 1908.05281
Original
1908
Earlier work this paper cites.
M. Mezei and G. Sárosi, Chaos in the butterfly cone , JHEP 01
Original
1908
Earlier work this paper cites.
A. Banerjee, A. Kundu and R. R. Poojary, Rotating black holes in AdS spacetime, extremality, and chaos , Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
P. Vaidya, The gravitational field of a radiating star , Proc. Indian Acad. Sci. (Math. Sci.) 33
1951
Earlier work this paper cites.
B. Carter, Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations , Commun. Math. Phys. 10
1968
Earlier work this paper cites.
J. F. Plebanski and M. Demianski, Rotating, charged, and uniformly accelerating mass in general relativity , Annals Phys. 98
1976
Earlier work this paper cites.
T. Dray and G. ’t Hooft, The Gravitational Shock Wave of a Massless Particle , Nucl. Phys. B 253
1985
Earlier work this paper cites.
V. Iyer and R. M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy , Phys. Rev. D 50
1994
Earlier work this paper cites.
K. Sfetsos, On gravitational shock waves in curved space-times , Nucl. Phys. B436
1995
Earlier work this paper cites.
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy , Phys. Lett. B 379
1996
Earlier work this paper cites.
J. M. Maldacena and L. Susskind, D-branes and fat black holes , Nucl. Phys. B475
1996
Earlier work this paper cites.
J. M. Maldacena, Eternal black holes in anti-de Sitter , JHEP 04
2003
Earlier work this paper cites.
Y. Liu and A. Raju, Quantum Chaos in Topologically Massive Gravity , JHEP 12
Original
2005
Earlier work this paper cites.

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2022

Fast Scrambling of Mutual Information in Kerr-AdS$_4$

Malvimat, Vinay, Poojary, Rohan R.

Understand

We compute the disruption of mutual information between the hemispherical subsystems on the left and right CFT$s$ of a Thermofield Double state described by a Kerr geometry in $AdS_4$ due to shockwaves along the equatorial plane.

The shockwaves and the subsystems considered respect the axi-symmetry of the geometry.
At late times the disruption of the mutual information is given by the lengthening of the HRT surface connecting the two subsystems, we compute the minimum value of the Lyapunov index-$\lambda_L^{(min)}$ at late times and find that it is bounded by $\kappa=\frac{2\pi T_H}{(1-\mu\, \mathcal{L})}$ where $\mu$ is the horizon velocity and $\mathcal{L}$ is the angular momentum per unit energy of the shockwave.
At very late times we find the the scrambling time for such a system is governed by $\kappa$ with $\kappa t_*=\log \mathcal{S}$ for large black holes with large entropy $\mathcal{S}$.

Built on

V. Jahnke, K.-Y. Kim and J. Yoon, On the Chaos Bound in Rotating Black Holes , JHEP 05
Original
1903
Earlier work this paper cites.
U. Moitra, S. K. Sake, S. P. Trivedi and V. Vishal, Jackiw-Teitelboim Gravity and Rotating Black Holes , 1905.10378
Original
1905
Earlier work this paper cites.
A. Castro and V. Godet, Breaking away from the near horizon of extreme Kerr , 1906.09083
Original
1906
Earlier work this paper cites.
I. Halder, Global Symmetry and Maximal Chaos , 1908.05281
Original
1908
Earlier work this paper cites.
M. Mezei and G. Sárosi, Chaos in the butterfly cone , JHEP 01
Original
1908
Earlier work this paper cites.
A. Banerjee, A. Kundu and R. R. Poojary, Rotating black holes in AdS spacetime, extremality, and chaos , Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
P. Vaidya, The gravitational field of a radiating star , Proc. Indian Acad. Sci. (Math. Sci.) 33
1951
Earlier work this paper cites.
B. Carter, Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations , Commun. Math. Phys. 10
1968
Earlier work this paper cites.
J. F. Plebanski and M. Demianski, Rotating, charged, and uniformly accelerating mass in general relativity , Annals Phys. 98
1976
Earlier work this paper cites.
T. Dray and G. ’t Hooft, The Gravitational Shock Wave of a Massless Particle , Nucl. Phys. B 253
1985
Earlier work this paper cites.
V. Iyer and R. M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy , Phys. Rev. D 50
1994
Earlier work this paper cites.
K. Sfetsos, On gravitational shock waves in curved space-times , Nucl. Phys. B436
1995
Earlier work this paper cites.
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy , Phys. Lett. B 379
1996
Earlier work this paper cites.
J. M. Maldacena and L. Susskind, D-branes and fat black holes , Nucl. Phys. B475
1996
Earlier work this paper cites.
J. M. Maldacena, Eternal black holes in anti-de Sitter , JHEP 04
2003
Earlier work this paper cites.
Y. Liu and A. Raju, Quantum Chaos in Topologically Massive Gravity , JHEP 12
Original
2005
Earlier work this paper cites.