Electromagnetic radiation reaction and energy extraction from black holes: The tail term cannot be ignored

Abstract

We study electromagnetic radiation reaction in curved space and the dynamics of radiating charged particles. The equation of motion for such particles is the DeWitt-Brehme equation, and it contains a particularly complicated, non-local, tail term. It has been claimed that the tail term can be neglected in certain magnetized black hole spacetimes, and that radiation reaction may then lead to energy extraction ("orbital widening") in the absence of an ergoregion. We show that such claims are incorrect, at least in the Newtonian limit: the tail term can never be neglected consistently in the relevant scenarios, and when it is included the reported energy extraction no longer occurs. Thus, previous results are called into question by our work.

7 pages, 1 figure. v3: typo corrected in Eq. (A4), according to erratum published in PRD. None of the results were affected by this typo

References in corpus (5)

• Supermassive black holes as possible sources of ultra high energy cosmic rays
• Revised upper limit to energy extraction from a Kerr black hole
• Ultra-high-energy debris from the collisional Penrose process
• Fifty years of energy extraction from rotating black hole: revisiting magnetic Penrose process
• Penrose process for a charged black hole in a uniform magnetic field

Cited by in corpus (5)

• Magnetized black holes: interplay between charge and rotation
• Radiative Back-Reaction on Charged Particle Motion in the Dipole Magnetosphere of Neutron Stars
• Radiating particle in the vicinity of the weakly charged Schwarzschild black hole
• Particle Dynamics on Test Papapetrou Fields of Vacuum Spacetimes
• Inflationary gravitational wave background as a tail effect