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2012 | 10 | 4 | 799-820
Tytuł artykułu

The Carter constant for inclined orbits about a massive Kerr black hole: near-circular, near-polar orbits

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In an extreme mass-ratio binary black hole system, a non-equatorial orbit will list (i.e. increase its angle of inclination, i) as it evolves in Kerr spacetime. The abutment, a set of evolving, near-polar, retrograde orbits, for which the instantaneous Carter constant (Q) is at its maximum value (Q X) for given values of latus rectum (l̃) and eccentricity (e), has been introduced as a laboratory in which the consistency of dQ/dt with corresponding evolution equations for d l̃/dt and de/dt might be tested independently of a specific radiation back-reaction model. To demonstrate the use of the abutment as such a laboratory, a derivation of dQ/dt, based only on published formulae for d l̃/dt and de/dt, was performed for elliptical orbits on the abutment. The resulting expression for dQ/dt matched the published result to the second order in e. We believe the abutment is a potentially useful tool for improving the accuracy of evolution equations to higher orders of e and l̃−.
Wydawca

Czasopismo
Rocznik
Tom
10
Numer
4
Strony
799-820
Opis fizyczny
Daty
wydano
2012-08-01
online
2012-07-17
Twórcy
  • Department of Physics and Astronomy, University of Western Ontario, 1151 Richmond Street, London, Ontario, N6A 3K7, Canada, komoro@uwo.ca
autor
  • Department of Physics and Astronomy, Department of Applied Mathematics, University of Western Ontario, 1151 Richmond Street, London, Ontario, N6A 3K7, Canada, valluri@uwo.ca
autor
  • Department of Physics and Astronomy, University of Western Ontario, 1151 Richmond Street, London, Ontario, N6A 3K7, Canada, mhoude2@uwo.ca
Bibliografia
  • [1] J. M. Bardeen, In: C. Dewitt, B. S. Dewitt (Ed.), Black Holes (Les Astres Occlus), 215 (Gordon and Breach, New York, London, and Paris, 1973)
  • [2] E. Poisson, Phys. Rev. D 47, 1497 (1993) http://dx.doi.org/10.1103/PhysRevD.47.1497[Crossref]
  • [3] C. Cutler, L. S. Finn, E. Poisson, G. J. Sussman, Phys. Rev. D 47, 1511 (1993) http://dx.doi.org/10.1103/PhysRevD.47.1511[Crossref]
  • [4] F. D. Ryan, Phys. Rev. D 52, 3159 (1995) http://dx.doi.org/10.1103/PhysRevD.52.R3159[Crossref]
  • [5] A. Ori, K. S. Thorne, Phys. Rev. D 62, 124022 (2000) http://dx.doi.org/10.1103/PhysRevD.62.124022[Crossref]
  • [6] D. Pugliese, H. Quevedo, R. Ruffini, Phys. Rev. D 84, 044030 (2011) http://dx.doi.org/10.1103/PhysRevD.84.044030[Crossref]
  • [7] P. C. Peters, J. Mathews, Phys. Rev. 131, 435 (1963) http://dx.doi.org/10.1103/PhysRev.131.435[Crossref]
  • [8] P. C. Peters, Phys. Rev. 136, B 1224 (1964) http://dx.doi.org/10.1103/PhysRev.136.B1224[Crossref]
  • [9] V. A. Brumberg, Essential Relativistic Celestial Mechanics (IOP Publishing, Bristol, UK, 1991)
  • [10] W. Junker, G. Schaefer, Mon. Not. R. Astron. Soc. 254, 146 (1992)
  • [11] C. Cutler, D. Kennefick, E. Poisson, Phys. Rev. D 50, 3816 (1994) http://dx.doi.org/10.1103/PhysRevD.50.3816[Crossref]
  • [12] K. Glampedakis, D. Kennefick, Phys. Rev. D 66, 044002 (2002) http://dx.doi.org/10.1103/PhysRevD.66.044002[Crossref]
  • [13] S. A. Hughes, S. Drasco, E. E. Flanagan, J. Franklin, Phys. Rev. Lett. 94, 221101 (2005) http://dx.doi.org/10.1103/PhysRevLett.94.221101[Crossref]
  • [14] S. A. Teukolsky, Astrophys. J. 185, 635 (1973) http://dx.doi.org/10.1086/152444[Crossref]
  • [15] W. H. Press, S. A. Teukolsky, Astrophys. J. 185, 649 (1973) http://dx.doi.org/10.1086/152445[Crossref]
  • [16] A. Ori, Phys. Lett. A 202, 347 (1995) http://dx.doi.org/10.1016/0375-9601(95)00333-X[Crossref]
  • [17] F. D. Ryan, Phys. Rev. D 53, 3064 (1996) http://dx.doi.org/10.1103/PhysRevD.53.3064[Crossref]
  • [18] D. Kennefick, A. Ori, Phys. Rev. D 53, 4319 (1996) http://dx.doi.org/10.1103/PhysRevD.53.4319[Crossref]
  • [19] A. Ori, Phys. Rev. D 55, 3444 (1997) http://dx.doi.org/10.1103/PhysRevD.55.3444[Crossref]
  • [20] F. de Felice, G. Preti, Classical Quant. Grav. 16, 2929 (1999) http://dx.doi.org/10.1088/0264-9381/16/9/310[Crossref]
  • [21] S. A. Hughes, Phys. Rev. D 61, 084004 (2000) http://dx.doi.org/10.1103/PhysRevD.61.084004[Crossref]
  • [22] S. A. Hughes, Phys. Rev. D 64, 064004 (2001) http://dx.doi.org/10.1103/PhysRevD.64.064004[Crossref]
  • [23] K. Glampedakis, S. A. Hughes, D. Kennefick, Phys. Rev. D 66, 064005 (2002) http://dx.doi.org/10.1103/PhysRevD.66.064005[Crossref]
  • [24] L. Barack, C. Cutler, Phys. Rev. D 69, 082005 (2004) http://dx.doi.org/10.1103/PhysRevD.69.082005[Crossref]
  • [25] N. Sago, T. Tanaka, W. Hikida, H. Nakano, Prog. Theor. Phys. 114, 509 (2005) http://dx.doi.org/10.1143/PTP.114.509[Crossref]
  • [26] N. Sago, T. Tanaka, W. Hikida, K. Ganz, H. Nakano, Prog. Theor. Phys. 115, 873 (2006) http://dx.doi.org/10.1143/PTP.115.873[Crossref]
  • [27] J. R. Gair, K. Glampedakis, Phys. Rev. D 73, 064037 (2006) http://dx.doi.org/10.1103/PhysRevD.73.064037[Crossref]
  • [28] E. Barausse, S. A. Hughes, L. Rezzolla, Phys. Rev. D 76, 044007, 0704.0138 (2007) http://dx.doi.org/10.1103/PhysRevD.76.044007[Crossref]
  • [29] K. Ganz, W. Hikida, H. Nakano, N. Sago, T. Tanaka, Prog. Theor. Phys. 117, 1041 (2007) http://dx.doi.org/10.1143/PTP.117.1041[Crossref]
  • [30] E. E. Flanagan, T. Hinderer, Phys. Rev. D 75, 124007 (2007) http://dx.doi.org/10.1103/PhysRevD.75.124007[Crossref]
  • [31] S. Babak, H. Fang, J. R. Gair, K. Glampedakis, S. A. Hughes, Phys. Rev. D 75, 024005 (2007) http://dx.doi.org/10.1103/PhysRevD.75.024005[Crossref]
  • [32] M. Punturo et al., Classical Quant. Grav. 27, 084007 (2010) http://dx.doi.org/10.1088/0264-9381/27/8/084007[Crossref]
  • [33] C. Cutler, M. Vallisneri, Phys. Rev. D 76, 104018, 0707.2982 (2007) http://dx.doi.org/10.1103/PhysRevD.76.104018[Crossref]
  • [34] M. E. Normandin, A. Vajda, S. R. Valluri, Theor. Comput. Sci. 409, 241 (2008) http://dx.doi.org/10.1016/j.tcs.2008.09.018[Crossref]
  • [35] L. Iorio, H. I. M. Lichtengger, M. L. Ruggiero, Ch. Corda, Astrophys Space Sci. 331, 351 (2011) http://dx.doi.org/10.1007/s10509-010-0489-5[Crossref]
  • [36] C. W. F. Everitt et al., Phys. Rev. Lett. 106, 221101 (2011) http://dx.doi.org/10.1103/PhysRevLett.106.221101[Crossref]
  • [37] L. Sadeghian, C. M. Will, Classical Quant. Grav. 28, 225029 (2011) http://dx.doi.org/10.1088/0264-9381/28/22/225029[Crossref]
  • [38] L. Iorio, Phys. Rev. D 84, 124001 (2011) http://dx.doi.org/10.1103/PhysRevD.84.124001[Crossref]
  • [39] L. Iorio, Mon. Not. R. Astron. Soc. 411, 453 (2011) http://dx.doi.org/10.1111/j.1365-2966.2010.17701.x[Crossref]
  • [40] C. M. Will, Astrophys. J. Lett. 674, L25 (2008) http://dx.doi.org/10.1086/528847[Crossref]
  • [41] P. G. Komorowski, Ph.D. thesis, The University of Western Ontario (2011)
  • [42] P. G. Komorowski, S. R. Valluri, M. Houde, Classical Quant. Grav. 27, 225023 (2010) http://dx.doi.org/10.1088/0264-9381/27/22/225023[Crossref]
  • [43] J. W. Mellor, Higher Mathematics for Students of Chemistry and Physics, 4th ed. (Dover Publications Inc., Mineola, New York, 1955)
  • [44] M. R. Spiegel, Theory and Problems of Advanced Calculus (McGraw-Hill, New York, 1963)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-012-0043-x
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