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In 2007 Pretorius and Khurana did "speculate that at threshold [at a critical impact parameter], all of the kinetic energy of the system [two ultrarelativistic black holes] is converted to gravitational waves, which can be an arbitrarily large fraction of the total energy." However, in 2012 Sperhake, Berti, Cardoso, and Pretorius performed numerical calculations that led them to the contrary conclusion: "An extrapolation of our results to the limit $\gamma \rightarrow \infty$ suggests that about half of the center-of-mass energy of the system can be emitted in gravitational radiation, while the rest must be converted into rest-mass and spin energy." Here I present arguments against this latter conclusion and in support of the earlier speculation that for sufficiently large $\gamma$, all but an arbitrarily small fraction of the total energy can be radiated away.
1901
Earlier work this paper cites.
1901
Earlier work this paper cites.
1908
Earlier work this paper cites.
1909
Earlier work this paper cites.
1909
Earlier work this paper cites.
T. Damour, “Classical and quantum scattering in post-Minkowskian gravity,” Phys. Rev. D 102
1912
Earlier work this paper cites.
Y. Hagiwara, Jap. J. Astron. Geophys. 8
1931
Earlier work this paper cites.
B. Bertotti, “On gravitational motion,” Nuovo Cim. 4
1956
Earlier work this paper cites.
C. G. Darwin, “The gravity field of a particle,” Proc. Roy. Soc. (London) A
1958
Earlier work this paper cites.
B. Bertotti and J. Plebanski, “Theory of gravitational perturbations in the fast motion approximation,” Annals Phys. 11
1960
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev. 140
1965
Earlier work this paper cites.
R. Penrose, “General Relativistic Energy Flux and Elementary Optics,” in B. Hoffman (ed.), Perspectives in Geometry and Relativity
1966
Earlier work this paper cites.
K. A. Khan and R. Penrose, “Scattering of two impulsive gravitational plane waves,” Nature 229
1971
Earlier work this paper cites.
S. W. Hawking, “Gravitational radiation from colliding black holes,” Phys. Rev. Lett. 26
1971
Earlier work this paper cites.
P. C. Aichelburg and R. U. Sexl, “On the gravitational field of a massless particle,” Gen. Rel. Grav. 2
1971
Earlier work this paper cites.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 3. Derivation of Bremsstrahlung Formulas,” Astrophys. J. 217
1977
Earlier work this paper cites.
P. D. D’Eath, “High Speed Black Hole Encounters and Gravitational Radiation,” Phys. Rev. D 18
1978
Earlier work this paper cites.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 4. Bremsstrahlung,” Astrophys. J. 224
1978
Earlier work this paper cites.
T. Damour and N. Deruelle, “Radiation Reaction and Angular Momentum Loss in Small Angle Gravitational Scattering,” Phys. Lett. A 87
1981
Earlier work this paper cites.
L. Bel, T. Damour, N. Deruelle, J. Ibanez and J. Martin, “Poincaré-invariant gravitational field and equations of motion of two pointlike objects: The postlinear approximation of general relativity,” Gen. Rel. Grav. 13
1981
Earlier work this paper cites.
G. ’t Hooft, “Graviton Dominance in Ultrahigh-Energy Scattering,” Phys. Lett. B 198
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.
D. Amati, M. Ciafaloni and G. Veneziano, “Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions,” Int. J. Mod. Phys. A 3
1988
Earlier work this paper cites.
I. J. Muzinich and M. Soldate, “High-Energy Unitarity of Gravitation and Strings,” Phys. Rev. D 37
1988
Earlier work this paper cites.
B. Sundborg, “High-energy Asymptotics: The One Loop String Amplitude and Resummation,” Nucl. Phys. B 306
1988
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, “Higher Order Gravitational Deflection and Soft Bremsstrahlung in Planckian Energy Superstring Collisions,” Nucl. Phys. B 347
1990
Earlier work this paper cites.
P. D. D’Eath and P. N. Payne, “Gravitational radiation in high speed black hole collisions. 1. Perturbation treatment of the axisymmetric speed of light collision,” Phys. Rev. D 46
1992
Earlier work this paper cites.
P. D. D’Eath and P. N. Payne, “Gravitational radiation in high speed black hole collisions. 2. Reduction to two independent variables and calculation of the second order news function,” Phys. Rev. D 46
1992
Earlier work this paper cites.
P. D. D’Eath and P. N. Payne, “Gravitational radiation in high speed black hole collisions. 3. Results and conclusions,” Phys. Rev. D 46
1992
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, “Planckian scattering beyond the semiclassical approximation,” Phys. Lett. B 289
1992
Earlier work this paper cites.
M. W. Choptuik, “Universality and scaling in gravitational collapse of a massless scalar field,” Phys. Rev. Lett. 70
1993
Cited alongside, same era.
J. J. Levin, “Gravity waves, chaos, and spinning compact binaries,” Phys. Rev. Lett. 84
2000
Cited alongside, same era.
D. M. Eardley and S. B. Giddings, “Classical black hole production in high-energy collisions,” Phys. Rev. D 66
2002
Cited alongside, same era.
E. Kohlprath and G. Veneziano, “Black holes from high-energy beam-beam collisions,” JHEP 06
2002
Cited alongside, same era.
2002
Cited alongside, same era.
2013
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W. E. East and F. Pretorius, “Ultrarelativistic black hole formation,” Phys. Rev. Lett. 110
2013
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2013
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2013
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H. Yoshino and Y. Nambu, “Black hole formation in the grazing collision of high-energy particles,” Phys. Rev. D 67
2003
Cited alongside, same era.
S. B. Giddings and V. S. Rychkov, “Black holes from colliding wavepackets,” Phys. Rev. D 70
2004
Cited alongside, same era.
F. Pretorius and D. Khurana, “Black hole mergers and unstable circular orbits,” Class. Quant. Grav. 24
2007
Cited alongside, same era.
2007
Cited alongside, same era.
2007
Cited alongside, same era.
H. Yoshino and V. S. Rychkov, “Improved analysis of black hole formation in high-energy particle collisions,” Phys. Rev. D 71
2008
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2008
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2014
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2022
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2022
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Gabriele Veneziano, “Lessons from the Ultra-Relativistic Frontier,” KITP Conference: Storming the Gravitational Wave Frontier, 2022 April 20, doi:10.26081/K63931 https://online.kitp.ucsb.edu/online/gwaves-c22/veneziano/
2022
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Frans Pretorius, “The classical ultra-relativistic scattering problem,” KITP Program: High-Precision Gravitational Waves, 2022 May 20, doi:10.26081/K6CS87 https://online.kitp.ucsb.edu/online/gwaves22/pretorius/
2022
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L. Smarr, “Gravitational Radiation from Distant Encounters and from Headon Collisions of Black Holes: The Zero Frequency Limit,” Phys. Rev. D 15
2069
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