A Morse-theoretical analysis of gravitational lensing by a Kerr-Newman black hole

Journal of Mathematical Physics

Volumn 47, Issue 4, 2006, Pages

  Hasse, Wolfgang ^a,b   Perlick, Volker ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b Wilhelm Foerster Observatory   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646389241     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2188209     Document Type: Article

References (29)

1. C. Darwin, Proc. R. Soc. London, Ser. A 249, 180 (1959).
2. K. Uhlenbeck, Topology 14, 69 (1975).
3. M. A. Abramowicz, B. Carter, and J.-P. Lasota, Gen. Relativ. Gravit. 20, 1173 (1988).
4. M. A. Abramowicz, Mon. Not. R. Astron. Soc. 245, 733 (1990).
5. M. A. Abramowicz, P. Nurowski, and N. Wex, Class. Quantum Grav. 10, L183 (1993).
6. R. McKenzie, J. Math. Phys. 26, 1592 (1985).
7. F. Giannoni and A. Masiello, Gen. Relativ. Gravit. 28, 855 (1996).
8. F. Giannoni, A. Masiello, and P. Piccione, Ann. I.H.P. Phys. Theor. 69, 359 (1998).
9. I. Kovner, Astrophys. J. 351, 114 (1990).
10. V. Perlick, Class. Quantum Grav. 7, 1319 (1990).
11. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-time (Cambridge University Press, Cambridge, 1973).
12. A. Bernal and M. Sánchez, Commun. Math. Phys. 257, 43 (2005).
13. V. Perlick, in Einstein's Field Equations and their Physical Implications: Selected Essays in Honour of Jürgen Ehlers, edited by, B. Schmidt, (Springer, Berlin, Germany, 2000), Vol. 540 of Lecture Notes in Physics, pp. 373-425.
14. T. Frankel, The Geometry of Physics (Cambridge University Press, Cambridge, 1997).
15. J. P. Serre, Ann. Math. 54, 425 (1951).
16. C. Misner, K. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
17. S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford University Press, Oxford, 1983).
18. B. O'Neill, The Geometry of Kerr Black Holes (A. K. Peters, Wellesley, 1995).
19. T. Foertsch, W. Hasse, and V. Perlick, Class. Quantum Grav. 20, 4635 (2003).
20. K. R. Nayak and C. V. Vishveshwara, Class. Quantum Grav. 13, 1783 (1996).
21. F. de Felice and S. Usseglio-Tomasset, Class. Quantum Grav. 8, 1871 (1991).
22. M. Kozlowski, M. Jaroszynski, and M. A. Abramowicz, Astron. Astrophys. 63, 209 (1978).
23. Z. Stuchlik, S. Hledik, and J. Jurán, Class. Quantum Grav. 17, 2691 (2000).
24. A. Masiello, Variational Methods in Lorentzian Geometry, Pitman Research Notes in Mathematics Series 309 (Longman Scientific and Technical, Essex, 1994).
25. M. Calvani and R. Turolla, J. Phys. A 14, 1931 (1981).
26. K. Rauch and R. Blandford, Astrophys. J. 421, 46 (1994).
27. V. Bozza, F. de Luca, G. Scarpetta, and M. Sereno, Phys. Rev. D 72, 083003 (2005).
28. W. Hasse and V. Perlick, Gen. Relativ. Gravit. 34, 415 (2002).
29. V. Perlick, Living Rev. Relativity 7 (9), (2004), http://www. livingreviews.org/lrr-2004-9