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We identify a set of Hertz potentials for solutions to the vector wave equation on black hole spacetimes.
1906
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1908
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Saul A. Teukolsky, “Rotating black holes - separable wave equations for gravitational and electromagnetic perturbations,” Phys. Rev. Lett. 29
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E.D. Fackerell and J.R. Ipser, “Weak electromagnetic fields around a rotating black hole,” Phys. Rev. D 5
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Charles W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973)
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Robert P. Geroch, A. Held, and R. Penrose, “A space-time calculus based on pairs of null directions,” J. Math. Phys. 14
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P. L. Chrzanowski, “Vector Potential and Metric Perturbations of a Rotating Black Hole,” Phys. Rev. D11
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John M. Stewart, “Hertz-Bromwich-Debye-Whittaker-Penrose Potentials in General Relativity,” Proc. Roy. Soc. Lond. A367
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Jose M. Martín-García, “xperm: fast index canonicalization for tensor computer algebra,” Comp. Phys. Commun. 179
2008
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Roger Penrose and Wolfgang Rindler, Spinors and Space-Time , Cambridge Monographs on Mathematical Physics (Cambridge Univ. Press, Cambridge, UK, 2011)
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2014
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Steffen Aksteiner, Ph.D. thesis , Leibniz U., Hannover (2014)
2014
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Oleg Lunin, “Maxwell’s equations in the Myers-Perry geometry,” JHEP 12
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Norichika Sago, Hiroyuki Nakano, and Misao Sasaki, “Gauge problem in the gravitational selfforce. 1. Harmonic gauge approach in the Schwarzschild background,” Phys. Rev. D 67
2003
Cited alongside, same era.
B.F. Whiting and L.R. Price, “Metric reconstruction from Weyl scalars,” Class. Quant. Grav. 22
2005
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Larry Price, Ph.D. thesis , University of Florida (2007)
2007
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2008
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Cited in the paper.
Cited in the paper.
J.M. Martin-Garcia, “xAct: Efficient Tensor Computer Algebra for Mathematica,” http://xact.es/
Cited in the paper.
2018
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Sam R. Dolan, “Instability of the Proca field on Kerr spacetime,” Phys. Rev. D 98
2018
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Adam Pound and Barry Wardell, “Black hole perturbation theory and gravitational self-force,” in Handbook of Gravitational Wave Astronomy , Springer Reference, edited by Cosimo Bambi, Stavros Katsanevas, and Kostantinos D. Kokkotas (Springer International Publishing, 2020)
2020
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