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

• Autorzy: Peter Komorowski , Sree Valluri , Martin Houde
• 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−.

Słowa kluczowe

EN

general relativity; gravitational waves; Kerr black hole; extreme binary black hole system; orbital evolution

• Czasopismo: Open Physics
• Rocznik: 2012
• Tom: 10
• Numer: 4
• Strony: 799-820

Daty

wydano

2012-08-01

online

2012-07-17

Twórcy

autor

Peter Komorowski

• Department of Physics and Astronomy, University of Western Ontario, 1151 Richmond Street, London, Ontario, N6A 3K7, Canada,

autor

Sree Valluri

• Department of Physics and Astronomy, Department of Applied Mathematics, University of Western Ontario, 1151 Richmond Street, London, Ontario, N6A 3K7, Canada,

autor

Martin Houde

• Department of Physics and Astronomy, University of Western Ontario, 1151 Richmond Street, London, Ontario, N6A 3K7, Canada,

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Identyfikatory

DOI

10.2478/s11534-012-0043-x