Tomohiro Harada, Masashi Kimura
An inspiralling object of mass $\mu$ around a Kerr black hole of mass $M (\gg
\mu)$ experiences a continuous transition near the innermost stable circular
orbit from adiabatic inspiral to plunge into the horizon as gravitational
radiation extracts its energy and angular momentum. We investigate the
collision of such an object with a generic counterpart around a Kerr black
hole. We find that the angular momentum of the object is fine-tuned through
gravitational radiation and that the high-velocity collision of the object with
a generic counterpart naturally occurs around a nearly maximally rotating black
hole. We also find that the centre-of-mass energy can be far beyond the Planck
energy for dark matter particles colliding around a stellar mass black hole and
as high as $10^{58}$ erg for stellar mass compact objects colliding around a
supermassive black hole, where the present transition formalism is well
justified. Therefore, rapidly rotating black holes can accelerate objects
inspiralling around them to energy high enough to be of great physical
interest.
View original:
http://arxiv.org/abs/1109.6722
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