Built on

E. Witten, Light Rays, Singularities, and All That , 1901.03928
Original
1901
Earlier work this paper cites.
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.
O. J. C. Dias, H. S. Reall and J. E. Santos, The BTZ black hole violates strong cosmic censorship , 1906.08265
Original
1906
Earlier work this paper cites.
Y. Ahn, V. Jahnke, H.-S. Jeong and K.-Y. Kim, Scrambling in Hyperbolic Black Holes: shock waves and pole-skipping , JHEP 10
Original
1907
Earlier work this paper cites.
V. Balasubramanian, B. Craps, M. De Clerck and K. Nguyen, Superluminal chaos after a quantum quench , 1908.08955
Original
1908
Earlier work this paper cites.
B. Craps, M. D. Clerck, D. Janssens, V. Luyten and C. Rabideau, Lyapunov growth in quantum spin chains , 1908.08059
Original
1908
Earlier work this paper cites.
M. Mezei and G. Sárosi, Chaos in the butterfly cone , 1908.03574
Original
1908
Earlier work this paper cites.
K. Papadodimas, S. Raju and P. Shrivastava, A simple quantum test for smooth horizons , 1910.02992
Original
1910
Earlier work this paper cites.
B. McInnes, Cosmic Censorship and Holography , 1911.08222
Original
1911
Earlier work this paper cites.
PhD thesis, PRINCETON UNIVERSITY., Jan, 1932
B. Hoffmann, O the Spherically Symmetric Field in Relativity · 1932
Earlier work this paper cites.
R. P. Kerr, Gravitational field of a spinning mass as an example of algebraically special metrics , Phys. Rev. Lett. 11
1963
Earlier work this paper cites.
R. H. Boyer and R. W. Lindquist, Maximal analytic extension of the Kerr metric , J. Math. Phys. 8
1967
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M. Simpson and R. Penrose, Internal instability in a Reissner-Nordstrom black hole , Int. J. Theor. Phys. 7
1973
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W. A. Hiscock, Stress Energy Tensor Near a Charged, Rotating, Evaporating Black Hole , Phys. Rev. D15
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J. McNamara, Instability of black hole inner horizons , Proc. R. Soc. Lond. A 358
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N. D. Birrell and P. C. W. Davies, On falling through a black hole into another universe , Nature 272
1978
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S. Chandrasekhar and J. Hartle, On crossing the cauchy horizon of a reissner–nordström black-hole , Proc. R. Soc. Lond. A 384
1982
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E. Poisson and W. Israel, Internal structure of black holes , Phys. Rev. D41
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F. Mellor and I. Moss, Stability of Black Holes in De Sitter Space , Phys. Rev. D41
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Earlier work this paper cites.
A. Ori, Inner structure of a charged black hole: An exact mass-inflation solution , Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, The Black hole in three-dimensional space-time , Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2+1) black hole , Phys. Rev. D48
1993
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S. Mukhi and C. Vafa, Two-dimensional black hole as a topological coset model of c = 1 string theory , Nucl. Phys. B407
1993
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A. R. Steif, The Quantum stress tensor in the three-dimensional black hole , Phys. Rev. D49
1994
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S. Carlip, The (2+1)-Dimensional black hole , Class. Quant. Grav. 12
1995
Earlier work this paper cites.
K. A. Bronnikov and V. N. Melnikov, The Birkhoff theorem in multidimensional gravity , Gen. Rel. Grav. 27
1995
Earlier work this paper cites.

Similar

P. R. Brady, C. M. Chambers, W. Krivan and P. Laguna, Telling tails in the presence of a cosmological constant , Phys. Rev. D55
1997
Cited alongside, same era.
Graduate Texts in Contemporary Physics. Springer-Verlag, New York, 1997, 10.1007/978-1-4612-2256-9
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory · 1997
Cited alongside, same era.
E. Witten, Anti-de Sitter space and holography , Adv. Theor. Math. Phys. 2
1998
Cited alongside, same era.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Int. J. Theor. Phys. 38
1999
Cited alongside, same era.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, Charged AdS black holes and catastrophic holography , Phys. Rev. D60
1999
Cited alongside, same era.

Then

S. H. Shenker and D. Stanford, Black holes and the butterfly effect , JHEP 03
Original
2014
Later among the works it cites.
N. Altamirano, D. Kubiznak, R. B. Mann and Z. Sherkatghanad, Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume , Galaxies 2
Original
2014
Later among the works it cites.
D. A. Roberts and D. Stanford, Two-dimensional conformal field theory and the butterfly effect , Phys. Rev. Lett. 115
Original
2015
Later among the works it cites.
D. A. Roberts, D. Stanford and L. Susskind, Localized shocks , JHEP 03
Original
2015
Later among the works it cites.
S. H. Shenker and D. Stanford, Stringy effects in scrambling , JHEP 05

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2019

Holographic Probes of Inner Horizons

Balasubramanian, Vijay, Kar, Arjun, Sárosi, Gábor

Understand

We study the inner horizons of rotating and charged black holes in anti-de Sitter space.

These black holes have a classical analytic extension through the inner horizon to additional asymptotic regions.
If this extension survives in the quantum theory, it requires particular analytic properties in a dual CFT, which give a prescription for calculating correlation functions for operators placed on any asymptotic boundary of the maximally extended spacetime.
We show that for charged black holes in three or greater dimensions, and rotating black holes in four or greater dimensions, these analytic properties are inconsistent in the dual CFT, implying the absence of an analytic extension for quantum fields past the inner horizon.

Built on

E. Witten, Light Rays, Singularities, and All That , 1901.03928
Original
1901
Earlier work this paper cites.
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.
O. J. C. Dias, H. S. Reall and J. E. Santos, The BTZ black hole violates strong cosmic censorship , 1906.08265
Original
1906
Earlier work this paper cites.
Y. Ahn, V. Jahnke, H.-S. Jeong and K.-Y. Kim, Scrambling in Hyperbolic Black Holes: shock waves and pole-skipping , JHEP 10
Original
1907
Earlier work this paper cites.
V. Balasubramanian, B. Craps, M. De Clerck and K. Nguyen, Superluminal chaos after a quantum quench , 1908.08955
Original
1908
Earlier work this paper cites.
B. Craps, M. D. Clerck, D. Janssens, V. Luyten and C. Rabideau, Lyapunov growth in quantum spin chains , 1908.08059
Original
1908
Earlier work this paper cites.
M. Mezei and G. Sárosi, Chaos in the butterfly cone , 1908.03574
Original
1908
Earlier work this paper cites.
K. Papadodimas, S. Raju and P. Shrivastava, A simple quantum test for smooth horizons , 1910.02992
Original
1910
Earlier work this paper cites.
B. McInnes, Cosmic Censorship and Holography , 1911.08222
Original
1911
Earlier work this paper cites.
PhD thesis, PRINCETON UNIVERSITY., Jan, 1932
B. Hoffmann, O the Spherically Symmetric Field in Relativity · 1932
Earlier work this paper cites.
R. P. Kerr, Gravitational field of a spinning mass as an example of algebraically special metrics , Phys. Rev. Lett. 11
1963
Earlier work this paper cites.
R. H. Boyer and R. W. Lindquist, Maximal analytic extension of the Kerr metric , J. Math. Phys. 8
1967
Earlier work this paper cites.
M. Simpson and R. Penrose, Internal instability in a Reissner-Nordstrom black hole , Int. J. Theor. Phys. 7
1973
Earlier work this paper cites.
W. A. Hiscock, Stress Energy Tensor Near a Charged, Rotating, Evaporating Black Hole , Phys. Rev. D15
1977
Earlier work this paper cites.
J. McNamara, Instability of black hole inner horizons , Proc. R. Soc. Lond. A 358
1978
Earlier work this paper cites.
N. D. Birrell and P. C. W. Davies, On falling through a black hole into another universe , Nature 272
1978
Earlier work this paper cites.
S. Chandrasekhar and J. Hartle, On crossing the cauchy horizon of a reissner–nordström black-hole , Proc. R. Soc. Lond. A 384
1982
Earlier work this paper cites.
E. Poisson and W. Israel, Internal structure of black holes , Phys. Rev. D41
1990
Earlier work this paper cites.
F. Mellor and I. Moss, Stability of Black Holes in De Sitter Space , Phys. Rev. D41
1990
Earlier work this paper cites.
A. Ori, Inner structure of a charged black hole: An exact mass-inflation solution , Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, The Black hole in three-dimensional space-time , Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2+1) black hole , Phys. Rev. D48
1993
Earlier work this paper cites.
S. Mukhi and C. Vafa, Two-dimensional black hole as a topological coset model of c = 1 string theory , Nucl. Phys. B407
1993
Earlier work this paper cites.
A. R. Steif, The Quantum stress tensor in the three-dimensional black hole , Phys. Rev. D49
1994
Earlier work this paper cites.
S. Carlip, The (2+1)-Dimensional black hole , Class. Quant. Grav. 12
1995
Earlier work this paper cites.
K. A. Bronnikov and V. N. Melnikov, The Birkhoff theorem in multidimensional gravity , Gen. Rel. Grav. 27
1995
Earlier work this paper cites.

Similar

P. R. Brady, C. M. Chambers, W. Krivan and P. Laguna, Telling tails in the presence of a cosmological constant , Phys. Rev. D55
1997
Cited alongside, same era.
Graduate Texts in Contemporary Physics. Springer-Verlag, New York, 1997, 10.1007/978-1-4612-2256-9
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory · 1997
Cited alongside, same era.
E. Witten, Anti-de Sitter space and holography , Adv. Theor. Math. Phys. 2
1998
Cited alongside, same era.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity , Int. J. Theor. Phys. 38
1999
Cited alongside, same era.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, Charged AdS black holes and catastrophic holography , Phys. Rev. D60
1999
Cited alongside, same era.

Then

S. H. Shenker and D. Stanford, Black holes and the butterfly effect , JHEP 03
Original
2014
Later among the works it cites.
N. Altamirano, D. Kubiznak, R. B. Mann and Z. Sherkatghanad, Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume , Galaxies 2
Original
2014
Later among the works it cites.
D. A. Roberts and D. Stanford, Two-dimensional conformal field theory and the butterfly effect , Phys. Rev. Lett. 115
Original
2015
Later among the works it cites.
D. A. Roberts, D. Stanford and L. Susskind, Localized shocks , JHEP 03
Original
2015
Later among the works it cites.
S. H. Shenker and D. Stanford, Stringy effects in scrambling , JHEP 05

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

S. W. Hawking, C. J. Hunter and M. Taylor, Rotation and the AdS / CFT correspondence , Phys. Rev. D59

1999

Cited alongside, same era.

R. Emparan, AdS / CFT duals of topological black holes and the entropy of zero energy states , JHEP 06

1999

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S. Hemming, E. Keski-Vakkuri and P. Kraus, Strings in the extended BTZ space-time , JHEP 10

2002

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R. Emparan and H. S. Reall, A Rotating black ring solution in five-dimensions , Phys. Rev. Lett. 88

2002

Cited alongside, same era.

J. M. Maldacena, Eternal black holes in anti-de Sitter , JHEP 04

2003

Cited alongside, same era.

P. Kraus, H. Ooguri and S. Shenker, Inside the horizon with AdS / CFT , Phys. Rev. D67

2003

Cited alongside, same era.

T. S. Levi and S. F. Ross, Holography beyond the horizon and cosmic censorship , Phys. Rev. D68

2003

Cited alongside, same era.

Original

2015

Later among the works it cites.

P. Chrusciel, The geometry of black holes , unpublished notes, available at this URL http://homepage. univie. ac. at/piotr. chrusciel/teaching/Black% 20Holes/BlackHolesViennaJanuary2015. pdf, Erwin Schrödinger Institute and Faculty of Physics, University of Vienna (2015)

2015

Later among the works it cites.

C. T. Asplund, A. Bernamonti, F. Galli and T. Hartman, Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches , JHEP 02

Original

2015

Later among the works it cites.

S. Bhattacharjee, S. Sarkar and A. Virmani, Internal Structure of Charged AdS Black Holes , Phys. Rev. D93

Original

2016

Later among the works it cites.

N. Engelhardt and G. T. Horowitz, Holographic Consequences of a No Transmission Principle , Phys. Rev. D 93

Original