Perturbative approach to an orbital evolution around a supermassive black hole

By Y. Mino. 2003

256 citations recorded by the source corpus.

A charge-free, point particle of infinitesimal mass orbiting a Kerr black hole is known to move along a geodesic. When the particle has a finite mass or charge, it emits radiation which carries away orbital energy and angular momentum, and the orbit deviates from a geodesic. In this paper we assume that the deviation is small and show that the half-advanced minus half-retarded field surprisingly provides the correct radiation reaction force, in a time-averaged sense, and determines the orbit of the particle.

Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a7b7e4fd65f55d5279dabb61d715b7c69f1f9b60

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. A. Pound
2. E. Poisson
3. B. Wardell
4. T. Hinderer
5. I. Vega
6. E. Flanagan
7. S. Drasco
8. S. Hughes

In Statistical and Nonlinear Physics

1. S. Drasco
2. E. Flanagan
3. B. Wardell
4. A. Pound
5. S. Hughes
6. T. Hinderer
7. E. Poisson
8. T. Sotiriou

Citations in the corpus

• The Motion of Point Particles in Curved Spacetime (2004, background): “Mino [124], building on the work of Gal’tsov, was able to show that the true self-force and the dissipative force constructed from Grad cause the same averaged rates of change of all three constants of motion, lending credence”
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion (2008, methodology): “It is natural therefore to consider the radiative approximation obtained by using only the currently available, radiative piece of the first order self force, as suggested by Mino [67], and by integrating the orbital equations exactly (eg numerically).”
• Lensing by Kerr black holes (2019, unknown): “Note that Ir = Gθ is also the Mino time parameter [27] that decouples the differential equations (4).”
• The Motion of Point Particles in Curved Spacetime (2003, background): “Mino [124], building on the work of Gal’tsov, was able to show that the true self-force and the dissipative force constructed from Grad cause the same averaged rates of change of all three constants of motion, lending credence”
• Black hole perturbation theory and gravitational self-force (2021, methodology): “The equations for r(τ) and z(τ) are coupled, but they are immediately decoupled by adopting a new parameter λ , called Mino time [128], that satisfies”
• Gravitational wave snapshots of generic extreme mass ratio inspirals (2005, methodology): “Completing this programwill require implementing Mino’s scheme for evolving the Carter constant into equations which can be entered directly into a code [5, 6, 7, 8].”