https://doi.org/10.1140/epjc/s10052-019-7347-6
Regular Article - Theoretical Physics
Near-
perturbations and the connection with near-extreme Reissner–Nordstrom
Department of Physics, UCSB, Santa Barbara, CA, 93106, USA
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Received:
6
September
2019
Accepted:
23
September
2019
Published online:
11
October
2019
Abstract
The geometry very near the horizon of a near-extreme Reissner–Nordstrom black hole is described by the direct product of a near- spacetime with a two-sphere. While near- is locally diffeomorphic to the two connect differently with the asymptotically flat part of the geometry of (near-)extreme Reissner–Nordstrom. In previous work, we solved analytically the coupled gravitational and electromagnetic perturbation equations of 
and the associated connection problem with extreme Reissner–Nordstrom. In this paper, we give the solution for perturbations of near- and make the connection with near-extreme Reissner–Nordstrom. Our results here may also be thought of as computing the classical scattering matrix for gravitational and electromagnetic waves which probe the region very near the horizon of a highly charged spherically symmetric black hole.
© The Author(s), 2019
