## Advances in Theoretical and Mathematical Physics

- Adv. Theor. Math. Phys.
- Volume 7, Number 2 (2003), 307-330.

### Asymptotic black hole quasinormal frequencies

#### Abstract

We give a new derivation of the quasinormal frequencies of
Schwarzschild black holes in *d* greater than or equal to 4 and
Reissner-Nordstrom black holes in *d* = 4, in the limit of infinite damping.
For Schwarzschild in *d* greater than or equal to 4 we find that the asymptotic real part
is *T*_{Hawking}log(3) for scalar perturbations and for some gravitational perturbations; this confirms a
result previously obtained by other means in the case *d* = 4. For
Reissner-Nordstrom in *d* = 4 we find a specific generally aperiodic behavior
for the quasinormal frequencies, both for scalar perturbations and for
electromagnetic-gravitational perturbations. The formulae are obtained by
studying the monodromy of the perturbation analytically continued to the complex plane;
the analysis depends essentially on the behavior of the potential in the 'unphysical' region
near the black hole singularity.

#### Article information

**Source**

Adv. Theor. Math. Phys., Volume 7, Number 2 (2003), 307-330.

**Dates**

First available in Project Euclid: 4 April 2005

**Permanent link to this document**

https://projecteuclid.org/euclid.atmp/1112627635

**Mathematical Reviews number (MathSciNet)**

MR2015167

#### Citation

Motl, Lubos; Neitzke, Andrew. Asymptotic black hole quasinormal frequencies. Adv. Theor. Math. Phys. 7 (2003), no. 2, 307--330. https://projecteuclid.org/euclid.atmp/1112627635