TY - JOUR
T1 - Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions
AU - Anabalón, Andrés
AU - Fierro, Octavio
AU - Figueroa, José
AU - Oliva, Julio
N1 - Funding Information:
Acknowledgements The authors want to thank Gaston Giribet and Nicolas Grandi for enlightening comments. This work was partially supported by FONDECYT Grants 1170279 and 1181047. O.F. is supported by the Project DINREG 19/2018 of the Dirección de Investigación of the Universidad Católica de la Santísima Concepción.
Publisher Copyright:
© 2019, The Author(s).
PY - 2019/3/1
Y1 - 2019/3/1
N2 - The pure quadratic term of New Massive Gravity in three dimensions admits asymptotically locally flat, rotating black holes. These black holes are characterized by their mass and angular momentum, as well as by a hair of gravitational origin. As in the Myers–Perry solution in dimensions greater than five, there is no upper bound on the angular momentum. We show that, remarkably, the equation for a massless scalar field on this background can be solved in an analytic manner and that the quasinormal frequencies can be found in a closed form. The spectrum is obtained requiring ingoing boundary conditions at the horizon and an asymptotic behavior at spatial infinity that provides a well-defined action principle for the scalar probe. As the angular momentum of the black hole approaches zero, the imaginary part of the quasinormal frequencies tends to minus infinity, migrating to the north pole of the Riemann sphere and providing infinitely damped modes of high frequency. We show that this is consistent with the fact that the static black hole within this family does not admit quasinormal modes for a massless scalar probe.
AB - The pure quadratic term of New Massive Gravity in three dimensions admits asymptotically locally flat, rotating black holes. These black holes are characterized by their mass and angular momentum, as well as by a hair of gravitational origin. As in the Myers–Perry solution in dimensions greater than five, there is no upper bound on the angular momentum. We show that, remarkably, the equation for a massless scalar field on this background can be solved in an analytic manner and that the quasinormal frequencies can be found in a closed form. The spectrum is obtained requiring ingoing boundary conditions at the horizon and an asymptotic behavior at spatial infinity that provides a well-defined action principle for the scalar probe. As the angular momentum of the black hole approaches zero, the imaginary part of the quasinormal frequencies tends to minus infinity, migrating to the north pole of the Riemann sphere and providing infinitely damped modes of high frequency. We show that this is consistent with the fact that the static black hole within this family does not admit quasinormal modes for a massless scalar probe.
UR - http://www.scopus.com/inward/record.url?scp=85063606041&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-019-6748-x
DO - 10.1140/epjc/s10052-019-6748-x
M3 - Article
AN - SCOPUS:85063606041
SN - 1434-6044
VL - 79
JO - European Physical Journal C
JF - European Physical Journal C
IS - 3
M1 - 281
ER -