The Klein–Gordon–Fock equation in the curved spacetime of the Kerr–Newman (anti) de Sitter black hole

DOI10.1088/0264-9381/33/22/225011zbMath1351.83030arXiv1602.04830OpenAlexW3100245278MaRDI QIDQ5298240

Georgios V. Kraniotis

Publication date: 14 December 2016

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04830

zbMATH Keywords

Heun functionsinverse problemscosmological constanthypergeometric functionFuchsian differential equationsKlein-Gordon-Fock equationKerr-Newman-(anti) de Sitter black hole

Mathematics Subject Classification ID

Black holes (83C57) Wave equation (35L05) Exact solutions to problems in general relativity and gravitational theory (83C15) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Heun functions and some of their applications in physics ⋮ Weak cosmic censorship conjecture in Kerr-Newman-(anti-)de Sitter black hole with charged scalar field ⋮ Generalized hypergeometric solutions of the Heun equation ⋮ Dirac and Klein–Gordon–Fock equations in Grumiller’s spacetime ⋮ Quantum mechanics of stationary states of particles in a space-time of classical black holes ⋮ Quasinormal modes of Kerr–de Sitter black holes via the Heun function ⋮ Dirac equation on the Kerr-Newman spacetime and Heun functions ⋮ Exact greybody factors for the brane scalar field of five-dimensional rotating black holes ⋮ Generalized confluent hypergeometric solutions of the Heun confluent equation ⋮ SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS

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