Chapter

Small charged black holes: equations of motion

H. Asada, T. Futamase and P. A. Hogan

in Equations of Motion in General Relativity

Published in print December 2010 | ISBN: 9780199584109
Published online January 2011 | e-ISBN: 9780191723421 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199584109.003.0006

Series: International Series of Monographs on Physics

Small charged black holes: equations of motion

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A small charged black hole moving in external gravitational and electromagnetic fields is useful for presenting our approach to deriving its equations of motion from the Einstein‐Maxwell field equations as it provides a relatively accessible example illustrating how an external 4‐force enters the equations of motion as well as a radiation reaction 4‐force in addition to so‐called tail terms exhibiting retardation effects. As such it is a template for more physically realistic applications of the method, in particular to the equations of motion of a small Schwarzschild black hole moving in an external gravitational field, which is partially included in the current illustrative example when the charge is put equal to zero.

Keywords: absence of directional singularities; equations of motion with radiation reaction; smooth wave fronts; isolated small black hole

Chapter.  8689 words. 

Subjects: Mathematical and Statistical Physics

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