Electromagnetic self-force on a charged particle on Kerr spacetime: Equatorial circular orbits

@article{Torres2022ElectromagneticSO,
  title={Electromagnetic self-force on a charged particle on Kerr spacetime: Equatorial circular orbits},
  author={Theo Torres and Sam R. Dolan},
  journal={Physical Review D},
  year={2022}
}
We calculate the self-force acting on a charged particle on a circular geodesic orbit in the equatorial plane of a rotating black hole. We show by direct calculation that the dissipative self-force balances with the sum of the flux radiated to infinity and through the black hole horizon. Prograde orbits are found to stimulate black hole superradiance, but we confirm that the condition for floating orbits cannot be met. We calculate the conservative component of the self-force by application of… 

Figures and Tables from this paper

References

SHOWING 1-10 OF 74 REFERENCES

The Motion of Point Particles in Curved Spacetime

TLDR
The mathematical tools required to derive the equations of motion of a point scalar charge, a point electric charge, and a point mass in a specified background spacetime are developed here from scratch.

Self-action in gravity

On a particle moving with variable acceleration in the flat space-time affects the self-force due to outgoing radiation. The gravitational fields bring an additional contribution to self-force due to

The Self-Force Problem: Local Behaviour of the Detweiler-Whiting Singular Field

The growing reality of gravitational wave astronomy is giving age-old problems a new lease of life; one such problem is that of the self-force. A charged or massive particle moving in a curved

Self-interaction of a point charge in the Kerr space-time

Determines the electric and magnetic self-field of a point charge at rest on the symmetry axis of the Kerr space-time in the coordinate system in which the metric describes locally a constant, static

Self-force and radiation reaction in general relativity

TLDR
This review surveys the theory of gravitational self- force in curved spacetime and its application to the astrophysical inspiral problem, and highlights the way in which self-force calculations make a fruitful contact with other approaches to the two-body problem and help inform an accurate universal model of binary black hole inspirals, valid across all mass ratios.

Perturbations of a rotating black hole. I. Fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations

Decoupled, separable equations describing perturbations of a Kerr black hole are derived. These equations can be used to study black-hole processes involving scalar, electromagnetic, neutrino or

Floating Orbits, Superradiant Scattering and the Black-hole Bomb

Penrose1 and Christodoulou2 have shown how, in principle, rotational energy can be extracted from a black hole by orbiting and fissioning particles. Recently, Misner3 has pointed out that waves can

Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries

TLDR
The current state of the art on post-Newtonian methods as applied to the dynamics and gravitational radiation of general matter sources (including the radiation reaction back onto the source) and inspiralling compact binaries is presented.

Gravitational waves from a particle in circular orbits around a rotating black hole to the 11th post-Newtonian order

the relative error of the energy flux in the PN approximation to be less than 10 −5 , the energy flux at 11PN (4PN) can be used for v 0.33 (v 0.13). The region of validity can be further extended to
...