Periapsis and gravitomagnetic precessions of stellar orbits in Kerr and Kerr-de Sitter black hole spacetimes

Classical and Quantum Gravity

Volumn 24, Issue 7, 2007, Pages 1775-1808

  Kraniotis, G V ^a,b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247370625     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/24/7/007     Document Type: Article

References (53)

1. Einstein A 1915 Erklärung der Perihelbewegung des Merkur aus der allgemeinen Relativitätstheorie, Sitzungsberichte der Preussischen Akademie der Wissenschaften p 831
2. Schwarzschild K 1916 Über das Gravitationfeld eines Massenpunktes nach der Einsteinschen Theorie Sitzungsberichte der Königlichen Preussischen Akademie der Wissenschaften (Berlin) pp 189-96
3. Kerr R P 1963 Gravitational field of a spinning mass as an example of algebraically special metrics Phys. Rev. Lett. 11 237
4. Ohanian H and Ruffini R 1994 Gravitation & Spacetime (New York: Norton)
5. Rees M J 2004 Black holes in the real universe and their prospects as probes of relativistic gravity Preprint astro-ph/0401365
6. Kraniotis G V and Whitehouse S B 2003 Compact calculation of the perihelion precession of Mercury in general relativity, the cosmological constant and Jacobi's inversion problem Class. Quantum Grav. 20 4817-35
7. Bahcall N A, Ostriker J P, Perlmutter S and Steinhardt P J 1999 Science 284 1481
8. Perlmutter S et al 1999 Astrophys. J. 517 565
9. Filippenko A V et al 1998 Astron. J. 116 1009
10. deBernardis P et al 2000 Nature 404 955
11. Jaffe A H et al 2000 Phys. Rev. Lett. 86 3475
12. Kraniotis G V and Whitehouse S B 2002 General relativity, the cosmological constant and modular forms Class. Quantum Grav. 19 5073-100 (Preprint gr-qc/0105022)
13. Kraniotis G V 2004 Precise relativistic orbits in Kerr and Kerr-(anti) de Sitter spacetimes Class. Quantum Grav. 21 4743-69 (Preprint gr-qc/0405095)
14. Kraniotis G V 2005 Frame dragging and bending of light in Kerr and Kerr-(anti) de Sitter spacetimes Class. Quantum Grav. 22 4391-424 (Preprint gr-qc/0507056)
15. Schödel R et al 2002 Nature 419 694-6
16. Gebhardt K 2002 Nature 419 675-6
17. Ghez A M et al 2003 Astrophys. J. 586 L127-31
18. Genzel R et al 2003 Near-infrared flares from accreting gas around the supermassive black hole at the Galactic Centre Nature 425 934-7
19. Aschenbach B, Grosso N, Porquet D and Predehl P 2004 X-ray flares reveal mass and angular momentum of the Galactic Centre black hole Astron. Astrophys. 417 71-8 (Preprint astro-ph/0401589)
20. Eisenhauer F et al 2005 GRAVITY: the AO-assisted, two-object beam-combiner instrument for the VLTI Preprint astro-ph/0508607
21. Eisenhauer F et al 2005 Sinfoni in the galactic centre: young stars and infrared flares in the central light-month Astrophys. J. 628 246-59
22. Paumard T et al 2006 Astrophys. J. 643 1011-35
23. Levin Y and Beloborodov A M 2003 Astrophys. J. 590 L33
24. Reid M J et al 1999 Astrophys. J. 524 816-23
25. Eisenhauer F et al 2003 A geometric determination of the distance to the galactic centre Astrophys. J. 597 L121-L124
26. Reid M J 1993 Annu. Rev. Astron. Astrophys. 31 345-72
27. Oort J H and Plaut L 1975 Astron. Astrophys. 41 71-86
28. Bardeen J M, Press W M and Teukolsky S A 1972 Rotating black holes: locally, non-rotating frames, energy extraction and scalar synchrotron radiation Astrophys. J. 178 347-69
29. Melia F, Bromley C, Liu S and Walker C K 2001 Measuring the black hole spin in Sgr A* Astrophys. J. 554 L37-L40
30. Boyer R H and Price T G 1965 An interpretation of the Kerr metric in general relativity Proc. Camb. Phil. Soc. 61 531
31. Lense J and Thirring H 1918 Über den Einfluß der Eigenrotation der Zentralkörper auf die Bewegung der Planeten und Monde nach der Einsteinschen Gravitationstheorie Phys. Z. 19 156
32. Aschenbach B 2004 Astron. Astrophys. 425 1075-82 (Preprint astro-ph/0406545)
33. Stuchlík Z, Slaní P, Török G and Abramowicz M 2005 Phys. Rev. D 71 024037
34. Stuchlík Z, Slaní P and Török G 2006 Proc. Science, VI Microquasar Workshop: Microquasars and Beyond (Como, Italy)
35. Boyer R H and Lindquist R W 1967 Maximal analytic extension of the Kerr metric J. Math. Phys. 8 265-81
36. Stuchlik Z and Calvani M 1991 Null Geodesics in black hole metrics with non-zero cosmological constant Gen. Rel. Grav. 23 507-19
37. Slany P and Stuchlik Z 2005 Class. Quantum Grav. 22 3623-51
38. Carter B 1968 Hamilton-Jacobi and Schrodinger separable solutions of Einstein's equations Commun. Math. Phys. 10 280-310
39. Demianski M 1973 Acta Astron. 23 197-231
40. Hawking S W, Hunter C J and Taylor-Robinson M M 1999 Phys. Rev. D 59 064005
41. Abel N H 1828 Précis d'une théorie des fonctions elliptiques Crelle's J. Math. 3 236-77
42. Abel N H 1829 Crelle's J. Math. 4 309-48
43. Jacobi J 1828 Note sur les fonctions elliptiques Crelle's J. Math. 3 192-5
44. Carter B 1968 Global structure of the Kerr family of gravitational fields Phys. Rev. 174 1559-71
45. Cunningham C T and Bardeen J M 1972 Astrophys. J. 173 L137
46. Rees M J 1998 Nature 333 523
47. Lauricella G 1893 Sulle funzioni ipergeometriche a più variabili Rend. Circ. Mat. Palermo 7 111-58
48. Appell P 1882 Sur les fonctions hypergéométriques de deux variables J. Math. Pures Appl. Liouville 8 173-216
49. Török G, Abramowicz M, Kluźniak W and Stuchlík Z 2006 Preprint astro-ph/0603847
50. Stoghianidis E and Tsoubelis D 1987 Polar orbits in the Kerr space-time Gen. Rel. Grav. 19 1235-49
51. Stogianidis E and Tsoubelis D 1986 Phys. Lett. A 116 213-5
52. Kummer E E 1836 Über die hypergeometrische Reihe Crelle's J. Math. 15 39-172
53. Kraniotis G V in preparation