Analytic observation of a star orbiting a Schwarzschild black hole

General Relativity and Gravitation

Volumn 41, Issue 3, 2009, Pages 541-558

  Müller, Thomas ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Analytic geodesics; Circular orbits; Schwarzschild black hole

Indexed keywords

EID: 61449229440     PISSN: 00017701     EISSN: 15729532     Source Type: Journal    
DOI: 10.1007/s10714-008-0683-8     Document Type: Article

References (20)

1. Chandrasekhar S.: The Mathematical Theory of Black Holes. Clarendon Press, Oxford (1983)
2. Rindler W.: Relativity-Special, General and Cosmology. Oxford University Press, NY (2001)
3. Wald R.M.: General Relativity. The University of Chicago Press, Chicago (1984)
4. Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation. W.H.Freeman, San Francisco (1973)
5. C.T. Cunningham J.M. Bardeen 1973 The optical appearance of a star orbiting an extreme Kerr black hole Ap. J. 183 237 264
6. F. de Felice L. Nobili M. Calvani 1974 Black-hole physics: some effects of gravity on the radiation emission Astron. Astrophys. 30 111 118
7. J.-P. Luminet 1979 Image of a spherical black hole with thin accretion disk Astron. Astrophys. 75 228 235
8. G. Bao P. Hadrava E. Stgaard 1994 Multiple images and light curves of an emitting source on a relativistic eccentric orbit around a black hole Ap. J. 425 63 71
9. A.E. Broderick A. Loeb 2005 Imaging bright-spots in the accretion flow near the black hole horizon of Sgr A*MNRAS. 363 353 362
10. V. Bozza 2007 Extreme gravitational lensing by supermassive black hole Nuovo Cimento B. 122 547 556
11. A. Čadež U. Kostić 2005 Phys. Rev. D. 72 104024
12. Müller, T.: Visualisierung in der Relativitätstheorie. Ph.D. thesis, Eberhard-Karls-Universität Tübingen (2006), in german
13. Nakahara M.: Geometry, Topology and Physics. IOP Publishing Ltd, Bristol (1990)
14. Lawden D.F.: Elliptic Functions and Applications. Springer, New York (1989)
15. Weiskopf, D.: Visualization of Four-Dimensional Spacetimes. Ph.D. thesis, Eberhard-Karls-Universität Tübingen (2001)
16. A. Lampa 1924 Wie erscheint nach der Relativitätstheorie ein bewegter Stab einem ruhenden Beobachter? Z. Physik. 27 138 148
17. R. Penrose 1959 The apparent shape of a relativistically moving sphere Proc. Camb. Philos. Soc. 55 137 139
18. J. Terrell 1959 Invisibility of the Lorentz contraction Phys. Rev. 116 1041 1045
19. D. Hollenbach 1976 Appearance of a rapidly moving sphere: a problem for undergraduates Am. J. Phys. 44 91 93
20. K. Sakina J. Chiba 1979 Parallel transport of a vector along a circular orbit in Schwarzschild space-time Phys. Rev. D. 19 2280 2282