George Siopsis 2005 Class. Quantum Grav. 22 1425 doi:10.1088/0264-9381/22/7/014
George Siopsis
Show affiliationsIn general, black-hole perturbations are governed by a discrete spectrum of complex eigen-frequencies (quasi-normal modes). This signals the breakdown of unitarity. In asymptotically AdS spaces, this is puzzling because the corresponding CFT is unitary. To address this issue in three dimensions, we replace the BTZ black hole by a wormhole, following a suggestion by Solodukhin (2004 Preprint hep-th/0406130). We solve the wave equation for a massive scalar field and find an equation for the poles of the propagator. This equation yields a rich spectrum of real eigen-frequencies. We show that the throat of the wormhole is o(e−1/G), where G is Newton's constant. Thus, the quantum effects which might produce the wormhole are non-perturbative.
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
Issue 7 (7 April 2005)
Received 24 August 2004, in final form 8 February 2005
Published 17 March 2005
George Siopsis 2005 Class. Quantum Grav. 22 1425
K N Chattopadhyay 2008 Phys. Educ. 43 203
Lars Mönch 1996 Inverse Problems 12 309
Katsumi Itoh et al JHEP02(2003)033
Klaus Erhard and Roland Potthast 2003 Inverse Problems 19 1139
H - H von Borzeszkowski and W Yourgrau 1979 J. Phys. A: Math. Gen. 12 361
Jung Soo Kim et al 2008 Physiol. Meas. 29 615
Brendan Z. Foster and Ted Jacobson JHEP08(2004)024
A Cartacci and S Straulino 2008 Phys. Educ. 43 412
S T Quek et al 2001 Smart Mater. Struct. 10 1009