Phys. Rev. D 80, 044017 (2009) [13 pages]Gravitational polarizability of black holesReceived 16 June 2009; published 19 August 2009 The gravitational polarizability properties of black holes are compared and contrasted with their electromagnetic polarizability properties. The “shape” or “height” multipolar Love numbers hl of a black hole are defined and computed. They are then compared to their electromagnetic analogs hlEM. The Love numbers hl give the height of the lth multipolar “tidal bulge” raised on the horizon of a black hole by faraway masses. We also discuss the shape of the tidal bulge raised by a test-mass m, in the limit where m gets very close to the horizon. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.80.044017
DOI:
10.1103/PhysRevD.80.044017
PACS:
04.70.Bw, 04.20.Jb
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