https://doi.org/10.1140/epjc/s10052-018-5576-8
Regular Article - Theoretical Physics
Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime: exact spectrum
1
Centro Multidisciplinar de Astrofísica, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001, Lisbon, Portugal
2
Instituto de Física, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna, 4860, Santiago, Chile
* e-mail: arrincon@uc.cl
Received:
21
November
2017
Accepted:
19
January
2018
Published online:
19
February
2018
We study the stability under scalar perturbations, and we compute the quasinormal modes of the Einstein–Born–Infeld dilaton spacetime in dimensions. Solving the full radial equation in terms of hypergeometric functions, we provide an exact analytical expression for the spectrum. We find that the frequencies are purely imaginary, and we confirm our results by computing them numerically. Although the scalar field that perturbs the black hole is electrically neutral, an instability similar to that seen in charged scalar perturbations of the Reissner–Nordström black hole is observed.
© The Author(s), 2018