TY - JOUR
T1 - Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime
T2 - exact spectrum
AU - Destounis, Kyriakos
AU - Panotopoulos, Grigoris
AU - Rincón, Ángel
N1 - Funding Information:
K. D. acknowledges financial support provided under the European Union’s H2020 ERC Consolidator Grant “Matter and strong field gravity: New frontiers in Einstein’s theory” grant agreement no. MaGRaTh-646597 under the supervision of Dr. Vitor Cardoso. G. P. thanks the Fundação para a Ciência e Tecnologia (FCT), Portugal, for the financial support to the Multidisciplinary Center for Astrophysics (CENTRA), Instituto Superior Técnico, Universidade de Lisboa, through the Grant No. UID/FIS/00099/2013. A.R. was supported by the CONICYT-PCHA/ Doctorado Nacional/2015-21151658.
Funding Information:
Acknowledgements K. D. acknowledges financial support provided under the European Union’s H2020 ERC Consolidator Grant “Matter and strong field gravity: New frontiers in Einstein’s theory” grant agreement no. MaGRaTh-646597 under the supervision of Dr. Vitor Cardoso. G. P. thanks the Fundação para a Ciência e Tecnologia (FCT), Portugal, for the financial support to the Multidisciplinary Center for Astrophysics (CENTRA), Instituto Superior Técnico, Universidade de Lisboa, through the Grant No. UID/FIS/00099/2013. A.R. was supported by the CONICYT-PCHA/ Doctorado Nacional/2015-21151658.
Publisher Copyright:
© 2018, The Author(s).
PY - 2018/2/1
Y1 - 2018/2/1
N2 - We study the stability under scalar perturbations, and we compute the quasinormal modes of the Einstein–Born–Infeld dilaton spacetime in 1 + 3 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.
AB - We study the stability under scalar perturbations, and we compute the quasinormal modes of the Einstein–Born–Infeld dilaton spacetime in 1 + 3 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.
UR - http://www.scopus.com/inward/record.url?scp=85042426204&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-018-5576-8
DO - 10.1140/epjc/s10052-018-5576-8
M3 - Article
AN - SCOPUS:85042426204
VL - 78
JO - European Physical Journal C
JF - European Physical Journal C
SN - 1434-6044
IS - 2
M1 - 139
ER -