Polarizability of a Schwarzschild black hole
From: Crown-Horned Snorkack (chornedsnorkack_at_hushmail.com)
Date: 11/27/04
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Date: 27 Nov 2004 04:21:22 -0800
Suppose that a strictly Schwarzschild black hole (zero electric
monopole charge, zero spin) is subjected to electrostatic or
magnetostatic field.
A black hole has no hair. Does it mean that its electric and magnetic
dipole moments must be exactly zero and remain exactly zero in
presence of howsoever strong external static fields?
Now suppose that there is a slowly changing electromagnetic field,
such that its wavelength is far in excess of the Schwarzschild radius,
and its phase relationships are such that it is linearly rather than
elliptically polarized, thus it carries no angular momentum and cannot
convert the Schwarzschild black hole into a Kerr one even if absorbed.
How can a black hole remove energy from an electromagnetic field
unless it has internal electric and magnetic dipole moments?
Obviously, if the wavelength of the field were much less than the
Schwarzschild radius, the hole would have to absorb quite specific
rays and gravitationally deflect the others in quite specific manner.
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