Kerr scattering coefficients via isomonodromy
作者： Bruno Carneiro da Cunha , Fábio Novaes
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摘要: We study the scattering of a massless scalar field in generic Kerr background. Using particular gauge choice based on current conservation radial equation, we give formula for coefficient terms composite monodromy parameter σ between inner and outer horizons. isomonodromy flow, calculate exactly Painleve V τ -function. also show that eigenvalue problem angular equation (spheroidal harmonics) can be calculated using same techniques. use recent developments relating -function to Liouville irregular conformal blocks claim this is solved combinatorial sense, with known expressions near critical points.
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Nigel Hitchin, Richard Samuel Ward, Graeme Segal, Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces ,(1999)
N. Iorgov, O. Lisovyy, O. Gamayun, How instanton combinatorics solves Painlev\'e VI, V and III's arXiv: High Energy Physics - Theory. ,(2013) , 10.1088/1751-8113/46/33/335203
M. Shuhei, T. Eiichi, Analytic Solutions of the Teukolsky Equation and Their Properties Progress of Theoretical Physics. ,vol. 97, pp. 213- 232 ,(1997) , 10.1143/PTP.97.213
Andrew Neitzke, Greybody factors at large imaginary frequencies arXiv: High Energy Physics - Theory. ,(2003)
Bruno Carneiro da Cunha, Fábio Novaes, Kerr–de Sitter greybody factors via isomonodromy Physical Review D. ,vol. 93, pp. 024045- ,(2016) , 10.1103/PHYSREVD.93.024045
Eduard Herlt, Cornelius Hoenselaers, Hans Stephani, Malcolm MacCallum, Dietrich Kramer, Exact Solutions of Einstein's Field Equations ,(2003)
An analytic representation for the quasi-normal modes of Kerr black holes Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 402, pp. 285- 298 ,(1985) , 10.1098/RSPA.1985.0119
Michio Jimbo, Tetsuji Miwa, Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III Physica D: Nonlinear Phenomena. ,vol. 4, pp. 26- 46 ,(1981) , 10.1016/0167-2789(81)90003-8
O. Gamayun, N. Iorgov, O. Lisovyy, Conformal field theory of Painlev\'e VI arXiv: High Energy Physics - Theory. ,(2012) , 10.1007/JHEP10(2012)038
Graeme Segal, George Wilson, Loop groups and equations of KdV type Publications mathématiques de l'IHÉS. ,vol. 61, pp. 5- 65 ,(1985) , 10.1007/BF02698802