Massive vector fields on the Schwarzschild spacetime: quasinormal modes and bound states

Details Massive vector fields on the Schwarzschild spacetime: quasinormal modes and bound states Massive vector fields on the Schwarzschild spacetime: quasinormal modes and bound states

2011-10-20

arxiv.org/abs/1110.4494v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 8 figures; minor corrections, to be published in Phys. Rev. D

Scientific paper

We study the propagation of a massive vector or Proca field on the Schwarzschild spacetime. The field equations are reduced to a one-dimensional wave equation for the odd-parity part of the field and two coupled equations for the even-parity part of the field. We use numerical techniques based on solving (scalar or matrix-valued) three-term recurrence relations to compute the spectra of both quasi-normal modes and quasi-bound states, which have no massless analogue, complemented in the latter case by a forward-integration method. We study the radial equations analytically in both the near-horizon and far-field regions and use a matching procedure to compute the associated spectra in the small-mass limit. Finally, we comment on extending our results to the Kerr geometry and its phenomenological relevance for hidden photons arising e.g. in string theory compactifications.

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