Built on

G. ’t Hooft, “The quantum black hole as a theoretical lab, a pedagogical treatment of a new approach,” [ArXiv:1902.10469][gr-qc]
Original
1902
Earlier work this paper cites.
P. Betzios, E. Kiritsis and O. Papadoulaki, “Euclidean Wormholes and Holography,” JHEP 06 (2019), 042 [ArXiv:1903.05658][hep-th]
Original
1903
Earlier work this paper cites.
V. Cardoso and P. Pani, “Testing the nature of dark compact objects: a status report,” Living Rev. Rel. 22 (2019) no.1, 4 , [ArXiv:1904.05363][gr-qc]
Original
1904
Earlier work this paper cites.
G. Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” JHEP 09
Original
1905
Earlier work this paper cites.
I. Bena, P. Heidmann, R. Monten and N. P. Warner, “Thermal Decay without Information Loss in Horizonless Microstate Geometries,” SciPost Phys. 7 (2019) no.5, 063 , [ArXiv:1905.05194][hep-th]
Original
1905
Earlier work this paper cites.
K. W. Tsang, A. Ghosh, A. Samajdar, K. Chatziioannou, S. Mastrogiovanni, M. Agathos and C. Van Den Broeck, “A morphology-independent search for gravitational wave echoes in data from the first and second observing runs of Advanced LIGO and Advanced Virgo,” Phys. Rev. D 101 (2020) no.6, 064012 , [ArXiv:1906.11168][gr-qc]
Original
1906
Earlier work this paper cites.
A. Almheiri, R. Mahajan, J. Maldacena and Y. Zhao, “The Page curve of Hawking radiation from semiclassical geometry,” JHEP 03
Original
1908
Earlier work this paper cites.
T. Regge and J. A. Wheeler, “Stability of a Schwarzschild singularity,” Phys. Rev. 108
1957
Earlier work this paper cites.
U. Fano, “Effects of Configuration Interaction on Intensities and Phase Shifts,” Phys. Rev. 124 (1961), 1866-1878
1961
Earlier work this paper cites.
P. Aichelburg and R. Sexl, “On the Gravitational field of a massless particle,” Gen. Rel. Grav. 2 (1971), 303-312
1971
Earlier work this paper cites.
L. D. Faddeev and B. S. Pavlov, “Scattering theory and automorphic functions,” Proc. Steklov Inst. Math
1972
Earlier work this paper cites.
D. G. Boulware, “Quantum Field Theory in Schwarzschild and Rindler Spaces,” Phys. Rev. D 11 (1975), 1404
1975
Earlier work this paper cites.
R. M. Wald, “On Particle Creation by Black Holes,” Commun. Math. Phys. 45 (1975), 9-34
1975
Earlier work this paper cites.
S. W. Hawking, “Particle Creation by Black Holes,” Commun. Math. Phys. 43
1976
Earlier work this paper cites.
S. W. Hawking, “Breakdown of Predictability in Gravitational Collapse,” Phys. Rev. D 14
1976
Earlier work this paper cites.
W. Unruh, “Notes on black hole evaporation,” Phys. Rev. D 14 (1976), 870
1976
Earlier work this paper cites.
W. Israel, “Thermo field dynamics of black holes,” Phys. Lett. A 57 (1976), 107-110
1976
Earlier work this paper cites.
P. D. Lax and R. S. Phillips, “Scattering theory for automorphic functions,” Bull. Amer. Math. Soc
1980
Earlier work this paper cites.
M. C. Gutzwiller, “Stochastic behavior in quantum scattering,” Physica D: Nonlinear Phenomena 7 no.~1, (1983) 341 – 355
1983
Earlier work this paper cites.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B 253 (1985), 173-188
1985
Earlier work this paper cites.
G. ’t Hooft, “Graviton Dominance in Ultrahigh-Energy Scattering,” Phys. Lett. B 198
1987
Earlier work this paper cites.
S. Iyer and C. M. Will, “Black Hole Normal Modes: A {WKB} Approach. 1. Foundations and Application of a Higher Order {WKB} Analysis of Potential Barrier Scattering,” Phys. Rev. D 35 (1987), 3621
1987
Earlier work this paper cites.
S. Iyer, “BLACK HOLE NORMAL MODES: A WKB APPROACH. 2. SCHWARZSCHILD BLACK HOLES,” Phys. Rev. D 35 (1987), 3632
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, “Superstring Collisions at Planckian Energies,” Phys. Lett. B 197
1987
Earlier work this paper cites.
N. G. Sanchez and B. F. Whiting, “Quantum Field Theory and the Antipodal Identification of Black Holes,” Nucl. Phys. B 283 (1987), 605-623
1987
Earlier work this paper cites.

Similar

D. Amati, M. Ciafaloni and G. Veneziano, “Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions,” Int. J. Mod. Phys. A 3
1988
Cited alongside, same era.
H. J. de Vega and N. G. Sanchez, “Quantum String Scattering in the Aichelburg-sexl Geometry,” Nucl. Phys. B 317
1989
Cited alongside, same era.
Springer, 1990
M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics · 1990
Cited alongside, same era.
D. N. Kabat and M. Ortiz, “Eikonal quantum gravity and Planckian scattering,” Nucl. Phys. B 388
1992
Cited alongside, same era.
Y. Kiem, H. L. Verlinde and E. P. Verlinde, “Black hole horizons and complementarity,” Phys. Rev. D 52 (1995), 7053-7065 , [ArXiv:hep-th/9502074][hep-th]
1995
Cited alongside, same era.

Then

N. Gaddam, N. Groenenboom and G. ’t Hooft, “Quantum gravity on the black hole horizon,” [ArXiv:2012.02357][hep-th]
Original
2012
Later among the works it cites.
S. Pasterski and H. Verlinde, “HPS meets AMPS: How Soft Hair Dissolves the Firewall,” [ArXiv:2012.03850][hep-th]
Original
2012
Later among the works it cites.
C. F. B. Macedo, L. C. S. Leite, E. S. Oliveira, S. R. Dolan and L. C. B. Crispino, “Absorption of planar massless scalar waves by Kerr black holes,” Phys. Rev. D 88 (2013) no.6, 064033 [ArXiv:1308.0018] [gr-qc]
Original
2013
Later among the works it cites.
J. Maldacena and L. Susskind, “Cool horizons for entangled black holes,” Fortsch. Phys. 61 (2013), 781-811 , [ArXiv:1306.0533][hep-th]
Original
2013
Later among the works it cites.
G. ’t Hooft, “Black hole unitarity and antipodal entanglement,” Found. Phys. 46 (2016) no.9, 1185-1198 , [ArXiv:1601.03447][gr-qc]

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2020

Black Hole S-matrix for a scalar field

Betzios, Panos, Gaddam, Nava, Papadoulaki, Olga

Understand

We describe a unitary scattering process, as observed from spatial infinity, of massless scalar particles on an asymptotically flat Schwarzschild black hole background.

In order to do so, we split the problem in two different regimes governing the dynamics of the scattering process.
The first describes the evolution of the modes in the region away from the horizon and can be analysed in terms of the effective Regge-Wheeler potential.
In the near horizon region, where the Regge-Wheeler potential becomes insignificant, the WKB geometric optics approximation of Hawking's is replaced by the near-horizon gravitational scattering matrix that captures non-perturbative soft graviton exchanges near the horizon.

Built on

G. ’t Hooft, “The quantum black hole as a theoretical lab, a pedagogical treatment of a new approach,” [ArXiv:1902.10469][gr-qc]
Original
1902
Earlier work this paper cites.
P. Betzios, E. Kiritsis and O. Papadoulaki, “Euclidean Wormholes and Holography,” JHEP 06 (2019), 042 [ArXiv:1903.05658][hep-th]
Original
1903
Earlier work this paper cites.
V. Cardoso and P. Pani, “Testing the nature of dark compact objects: a status report,” Living Rev. Rel. 22 (2019) no.1, 4 , [ArXiv:1904.05363][gr-qc]
Original
1904
Earlier work this paper cites.
G. Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” JHEP 09
Original
1905
Earlier work this paper cites.
I. Bena, P. Heidmann, R. Monten and N. P. Warner, “Thermal Decay without Information Loss in Horizonless Microstate Geometries,” SciPost Phys. 7 (2019) no.5, 063 , [ArXiv:1905.05194][hep-th]
Original
1905
Earlier work this paper cites.
K. W. Tsang, A. Ghosh, A. Samajdar, K. Chatziioannou, S. Mastrogiovanni, M. Agathos and C. Van Den Broeck, “A morphology-independent search for gravitational wave echoes in data from the first and second observing runs of Advanced LIGO and Advanced Virgo,” Phys. Rev. D 101 (2020) no.6, 064012 , [ArXiv:1906.11168][gr-qc]
Original
1906
Earlier work this paper cites.
A. Almheiri, R. Mahajan, J. Maldacena and Y. Zhao, “The Page curve of Hawking radiation from semiclassical geometry,” JHEP 03
Original
1908
Earlier work this paper cites.
T. Regge and J. A. Wheeler, “Stability of a Schwarzschild singularity,” Phys. Rev. 108
1957
Earlier work this paper cites.
U. Fano, “Effects of Configuration Interaction on Intensities and Phase Shifts,” Phys. Rev. 124 (1961), 1866-1878
1961
Earlier work this paper cites.
P. Aichelburg and R. Sexl, “On the Gravitational field of a massless particle,” Gen. Rel. Grav. 2 (1971), 303-312
1971
Earlier work this paper cites.
L. D. Faddeev and B. S. Pavlov, “Scattering theory and automorphic functions,” Proc. Steklov Inst. Math
1972
Earlier work this paper cites.
D. G. Boulware, “Quantum Field Theory in Schwarzschild and Rindler Spaces,” Phys. Rev. D 11 (1975), 1404
1975
Earlier work this paper cites.
R. M. Wald, “On Particle Creation by Black Holes,” Commun. Math. Phys. 45 (1975), 9-34
1975
Earlier work this paper cites.
S. W. Hawking, “Particle Creation by Black Holes,” Commun. Math. Phys. 43
1976
Earlier work this paper cites.
S. W. Hawking, “Breakdown of Predictability in Gravitational Collapse,” Phys. Rev. D 14
1976
Earlier work this paper cites.
W. Unruh, “Notes on black hole evaporation,” Phys. Rev. D 14 (1976), 870
1976
Earlier work this paper cites.
W. Israel, “Thermo field dynamics of black holes,” Phys. Lett. A 57 (1976), 107-110
1976
Earlier work this paper cites.
P. D. Lax and R. S. Phillips, “Scattering theory for automorphic functions,” Bull. Amer. Math. Soc
1980
Earlier work this paper cites.
M. C. Gutzwiller, “Stochastic behavior in quantum scattering,” Physica D: Nonlinear Phenomena 7 no.~1, (1983) 341 – 355
1983
Earlier work this paper cites.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B 253 (1985), 173-188
1985
Earlier work this paper cites.
G. ’t Hooft, “Graviton Dominance in Ultrahigh-Energy Scattering,” Phys. Lett. B 198
1987
Earlier work this paper cites.
S. Iyer and C. M. Will, “Black Hole Normal Modes: A {WKB} Approach. 1. Foundations and Application of a Higher Order {WKB} Analysis of Potential Barrier Scattering,” Phys. Rev. D 35 (1987), 3621
1987
Earlier work this paper cites.
S. Iyer, “BLACK HOLE NORMAL MODES: A WKB APPROACH. 2. SCHWARZSCHILD BLACK HOLES,” Phys. Rev. D 35 (1987), 3632
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, “Superstring Collisions at Planckian Energies,” Phys. Lett. B 197
1987
Earlier work this paper cites.
N. G. Sanchez and B. F. Whiting, “Quantum Field Theory and the Antipodal Identification of Black Holes,” Nucl. Phys. B 283 (1987), 605-623
1987
Earlier work this paper cites.

Similar

D. Amati, M. Ciafaloni and G. Veneziano, “Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions,” Int. J. Mod. Phys. A 3
1988
Cited alongside, same era.
H. J. de Vega and N. G. Sanchez, “Quantum String Scattering in the Aichelburg-sexl Geometry,” Nucl. Phys. B 317
1989
Cited alongside, same era.
Springer, 1990
M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics · 1990
Cited alongside, same era.
D. N. Kabat and M. Ortiz, “Eikonal quantum gravity and Planckian scattering,” Nucl. Phys. B 388
1992
Cited alongside, same era.
Y. Kiem, H. L. Verlinde and E. P. Verlinde, “Black hole horizons and complementarity,” Phys. Rev. D 52 (1995), 7053-7065 , [ArXiv:hep-th/9502074][hep-th]
1995
Cited alongside, same era.

Then

N. Gaddam, N. Groenenboom and G. ’t Hooft, “Quantum gravity on the black hole horizon,” [ArXiv:2012.02357][hep-th]
Original
2012
Later among the works it cites.
S. Pasterski and H. Verlinde, “HPS meets AMPS: How Soft Hair Dissolves the Firewall,” [ArXiv:2012.03850][hep-th]
Original
2012
Later among the works it cites.
C. F. B. Macedo, L. C. S. Leite, E. S. Oliveira, S. R. Dolan and L. C. B. Crispino, “Absorption of planar massless scalar waves by Kerr black holes,” Phys. Rev. D 88 (2013) no.6, 064033 [ArXiv:1308.0018] [gr-qc]
Original
2013
Later among the works it cites.
J. Maldacena and L. Susskind, “Cool horizons for entangled black holes,” Fortsch. Phys. 61 (2013), 781-811 , [ArXiv:1306.0533][hep-th]
Original
2013
Later among the works it cites.
G. ’t Hooft, “Black hole unitarity and antipodal entanglement,” Found. Phys. 46 (2016) no.9, 1185-1198 , [ArXiv:1601.03447][gr-qc]

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

K. Sfetsos, “On gravitational shock waves in curved space-times,” Nucl. Phys. B 436 (1995), 721-745 , [ArXiv:hep-th/9408169][hep-th]

1995

Cited alongside, same era.

A. Strominger and C. Vafa, “Microscopic origin of the Bekenstein-Hawking entropy,” Phys. Lett. B 379

1996

Cited alongside, same era.

G. ’t Hooft, “The Scattering matrix approach for the quantum black hole: An Overview,” Int. J. Mod. Phys. A 11

1996

Cited alongside, same era.

T. Banks, W. Fischler, S. H. Shenker and L. Susskind, “M theory as a matrix model: A Conjecture,” Phys. Rev. D 55 (1997), 5112-5128 , [ArXiv:hep-th/9610043][hep-th]

1997

Cited alongside, same era.

K. D. Kokkotas and B. G. Schmidt, “Quasinormal modes of stars and black holes,” Living Rev. Rel. 2 (1999), 2 , [ArXiv:gr-qc/9909058][gr-qc]

1999

Cited alongside, same era.

R. M. Wald, “The thermodynamics of black holes,” Living Rev. Rel. 4 (2001), 6 , [ArXiv:gr-qc/9912119][gr-qc]

2001

Cited alongside, same era.

N. A. Strauss, B. F. Whiting and A. T. Franzen, “Antipodal Identification in Reissner-Nordström Spacetime,” [ArXiv:2002.02501][gr-qc]