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 - 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 -