Complete classification of geodesic motion in fast Kerr and Kerr-(anti-)de sitter space-times

New Trends in Statistical Physics: Festschrift in Honor of Leopoldo Garcia-Colin's 80th Birthday

Volumn , Issue , 2010, Pages 301-322

  Hackmann, Eva ^a   Lämmerzahl, Claus ^a   Macias, Alfredo ^b  

^a UNIVERSITY OF BREMEN   (Germany)

^b DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84969699778     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789814307543_0019     Document Type: Chapter

References (18)

1. J. Ehlers, F. Pirani, and A. Schild. The geometry of free fall and light propagation. In ed. L. O'Raifeartaigh, General Relativity, Papers in Honour of J.L. Synge, p. 63. Clarendon Press, Oxford, (1972).
2. J. Ehlers. Survey of general relativity theory. In ed. W. Israel, Relativity, Astrophysics and. Cosmology, p. 1. Reidel, Dordrecht, (1973).
3. J. Dunkley et al., Five-Year W ilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the W MAP data, Astrophys. J. Suppl. 180, 306, (2009).
4. Y. Hagihara, Theory of relativistic trajectories in a gravitai ional field of Schwarzschild, Japan. J. Astron. Geophys. 8, 67, (1931).
5. S. Chandrasekhar, The Mathematical Theory of Black Holes. (Oxford University Press, Oxford, 1983).
6. E. Hackmann and C. Lämmerzahl, Complete analytic solution of the geodesic équation in Schwarzschild-(anti) de Sitter space-times, Phys. Rev. Lett. 100. 171101-1, (2008).
7. E. Hackmann and C. Lämmerzahl, Geodesic équation in Schwarzschild-(anti-)de Sitter space-times: Analytical solutions and applications, Phys. Rev. D 78, 024035, (2008).
8. E. Hackmann, V. Kagramanova, J. Kunz, and C. Lämmerzahl, Analytic solutions of the geodesic équations in higher dimensional static spherically Symmetrie space-times, Phys. Rev. D 78, 124018, (2008).
9. E. Hackmann, V. Kagramanova, J. Kunz, and C. Lämmerzahl, Analytic solution of the geodesic équation in Kerr-(anti-)de Sitter space-times, submitted. (2009).
10. E. Hackmann, V. Kagramanova, J. Kunz, and C. Lämmerzahl, Analytic solution of the geodesic équation in NLIT-de Sitter space-time, in préparation.
11. E. Hackmann, V. Kagramanova, J. Kunz, and C. Lämmerzahl, Analytic solution of the geodesic équation in axially Symmetrie space-times, submitted. (2009).
12. M. Demianski and M. Francaviglia, Type-D space-times with a Killing tensor, J. Phys. A: Math. Gen. 14, 173, (1981).
13. E. Hackmann, V. Kagramanova, J. Kunz, and C. Lämmerzahl, Analytic solution of the geodesic équation in Plebanski-Demianski space-time in terms of hyperelliptic functions, in préparation. (2009).
14. B. Carter, Global structure of the Kerr family of gravitational fields, Phys. Rev. 174, 5, 1559, (1968).
15. Y. Mino, Perturbative approach to an orbital évolution around a supermassive black hole, Phys. Rev. D 67, 084027, (2003).
16. B. O'Neill, The Geometry of Black holes. (A K Peters, Wellesly, Massas-uchetts, 1995).
17. J. Levin and G. Perez-Giz, Homoclinic orbits around spinning black holes. I. Exact solution for the Kerr separatrix, Phys. Rev. D 79, 124013, (2009).
18. S. W. Hawking and G. Ellis, The large scale structure of space-time. (Cambridge Univ. P., Cambridge, 1973).