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Advances in Mathematical Physics
Volume 2018, Article ID 4328312, 10 pages
https://doi.org/10.1155/2018/4328312
Research Article

The Quantization of a Kerr-AdS Black Hole

Institut für Angewandte Mathematik, Ruprecht-Karls-Universität, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany

Correspondence should be addressed to Claus Gerhardt; ed.grebledieh-inu.htam@tdrahreg

Received 6 November 2017; Accepted 27 December 2017; Published 5 February 2018

Academic Editor: Eugen Radu

Copyright © 2018 Claus Gerhardt. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. C. Gerhardt, “The quantization of gravity in globally hyperbolic spacetimes,” Advances in Theoretical and Mathematical Physics, vol. 17, no. 6, pp. 1357–1391, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  2. C. Gerhardt, “A unified quantum theory I: gravity interacting with a Yang-Mills field,” Advances in Theoretical and Mathematical Physics, vol. 18, no. 5, pp. 1043–1062, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  3. C. Gerhardt, “A unified quantum theory II: gravity interacting with Yang-Mills and spinor fields,” arXiv, 1301.6101, 2013. View at Google Scholar
  4. C. Gerhardt, “A unified field theory I: the quantization of gravity,” arXiv, 1501.01205, 2015. View at Google Scholar
  5. C. Gerhardt, “A unified field theory II: gravity interacting with a Yang-Mills and Higgs field,” arXiv, 1602.07191, 2016. View at Google Scholar
  6. C. Gerhardt, Deriving a complete set of eigendistributions for a gravitational wave equation describing the quantized interaction of gravity with a Yang-Mills field in case the Cauchy hypersurface is non-compact, arXiv, 1605.03519, 2016.
  7. C. Gerhardt, The quantum development of an asymptotically Euclidean Cauchy hypersurface, arXiv, 1612.03469, 2016.
  8. C. Gerhardt, The quantization of a black hole, arXiv, 1608.08209, 2016.
  9. S. W. Hawking, “Particle creation by black holes,” Communications in Mathematical Physics, vol. 43, no. 3, pp. 199–220, 1975. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. J. B. Hartle and S. W. Hawking, “Path-integral derivation of black-hole radiance,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 13, no. 8, pp. 2188–2203, 1976. View at Publisher · View at Google Scholar · View at Scopus
  11. R. M. Wald, Quantum field theory in curved spacetime and black hole thermodynamics, Chicago Lectures in Physics, University of Chicago Press, Chicago, Ill, USA, 1994. View at MathSciNet
  12. R. P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics,” Physical Review Letters, vol. 11, pp. 237-238, 1963. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. B. Carter, “Hamilton-Jacobi and Schrödinger separable solutions of Einstein's equations,” Communications in Mathematical Physics, vol. 10, pp. 280–310, 1968. View at Google Scholar
  14. R. C. Myers and M. J. Perry, “Black holes in higher-dimensional space-times,” Annals of Physics, vol. 172, no. 2, pp. 304–347, 1986. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. S. W. Hawking, C. J. Hunter, and M. M. Taylor-Robinson, “Rotation and the AdS-{CFT} correspondence,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 59, no. 6, 064005, 13 pages, 1999. View at Google Scholar · View at MathSciNet
  16. G. W. Gibbons, H. Lu, D. N. Page, and C. N. Pope, “The general Kerr-de Sitter metrics in all dimensions,” Journal of Geometry and Physics, vol. 53, no. 1, pp. 49–73, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. C. Gerhardt, “Quantum cosmological Friedmann models with an initial singularity,” Classical and Quantum Gravity, vol. 26, no. 1, 015001, 29 pages, 2009. View at Google Scholar · View at MathSciNet
  18. Partial differential equations II, Lecture Notes, University of Heidelberg, Germany, 2013, pdf file.
  19. T. Hübsch, “General Relativity, Einstein and All That (GREAT),” 2003, http://library.wolfram.com/infocenter/MathSource/4781/. View at Google Scholar