https://doi.org/10.1140/epjc/s10052-017-4920-8
Regular Article - Theoretical Physics
Quasi-bound state resonances of charged massive scalar fields in the near-extremal Reissner–Nordström black-hole spacetime
1
The Ruppin Academic Center, Emeq Hefer, 40250, Israel
2
The Hadassah Academic College, Jerusalem, 91010, Israel
* e-mail: shaharhod@gmail.com
Received:
29
March
2017
Accepted:
12
May
2017
Published online:
26
May
2017
The quasi-bound states of charged massive scalar fields in the near-extremal charged Reissner–Nordström black-hole spacetime are studied analytically. These discrete resonant modes of the composed black-hole-field system are characterized by the physically motivated boundary condition of ingoing waves at the black-hole horizon and exponentially decaying (bounded) radial eigenfunctions at spatial infinity. Solving the Klein–Gordon wave equation for the linearized scalar fields in the black-hole spacetime, we derive a remarkably compact analytical formula for the complex frequency spectrum which characterizes the quasi-bound state resonances of the composed Reissner–Nordström-black-hole-charged-massive-scalar-field system.
© The Author(s), 2017
