Repository logo
 

Negative modes and the thermodynamics of Reissner-Nordström black holes

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Monteiro, R 
Santos, JE 

Abstract

We analyse the problem of negative modes of the Euclidean section of the Reissner-Nordstr"om black hole in four dimensions. We find analytically that a negative mode disappears when the specific heat at constant charge becomes positive. The sector of perturbations analysed here is included in the canonical partition function of the magnetically charged black hole. The result obeys the usual rule that the partition function is only well-defined when there is local thermodynamical equilibrium. We point out the difficulty in quantising Einstein-Maxwell theory, where the so-called conformal factor problem is considerably more intricate. Our method, inspired by hep-th/0608001, allows us to decouple the divergent gauge volume and treat the metric perturbations sector in a gauge-invariant way.

Description

Keywords

gr-qc, gr-qc, hep-th

Journal Title

Physical Review D - Particles, Fields, Gravitation and Cosmology

Conference Name

Journal ISSN

1550-7998
1550-2368

Volume Title

79

Publisher

American Physical Society (APS)
Sponsorship
Science and Technology Facilities Council (ST/F002998/1)