Radiation-reaction-induced evolution of circular orbits of particles around kerr black holes

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 53, Issue 8, 1996, Pages 4319-4326

  Kennefick, Daniel ^a   Ori, Amos ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001590828     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.53.4319     Document Type: Article

References (17)

1. T. A. Apostolatos, D. Kennefick, A. Ori and E. Poisson, Phys. Rev. D 47, 5376 (1993).
2. This conjecture was made by one of us (A. Ori) several years ago.
3. Omitted end note.
4. F. D. Ryan, Phys. Rev. D 52, R3159 (1995).
5. An interesting qualitative argument is given inF. D. Ryan, Phys. Rev. D 53, 3064 (1996).
6. Recently, we have become aware of an independent derivation of this result by Y. Mino, thesis in preparation, Kyoto University, Japan.
7. A. Ori, Phys. Lett. A 202, 347 (1995).
8. Omitted end note.
9. Note that this function C((formula presented) is not unique. This is obvious, for example, from the fact that -1=(formula presented)(x)(formula presented). The function C((formula presented)) can thus be chosen upon convenience.
10. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, New York, 1973).
11. Taking the differential of the second condition in Eq. (18), (formula presented)=0, does not yield any additional constraint on δ(formula presented) (instead it results in an expression for δ(formula presented)).
12. Omitted end note.
13. This follows, for example, from Eq. (72) below.
14. Of the six coefficients (formula presented) and (formula presented), three vanish identically (formula presented), and (formula presented)) but the other three are generically nonzero.
15. Omitted end note.
16. Omitted end note.
17. In the Schwarzschild case, it has been found 1 that (formula presented) diverges at the last stable circular orbit, due to the flattening of the effective potential well. Intuitively, one should expect the same behavior in Kerr as well.