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On the resolution of the time-like singularities in Reissner-Nordström and negative-mass Schwarzschild

Amit Giveon1, Barak Kol1, Amit Sever1 and Amos Ori2

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Certain time-like singularities are shown to be resolved already in classical General Relativity once one passes from particle probes to scalar waves. The time evolution can be defined uniquely and some general conditions for that are formulated. The Reissner-Nordström singularity allows for communication through the singularity and can be termed ``beam splitter'' since the transmission probability of a suitably prepared high energy wave packet is 25%. The high frequency dependence of the cross section is ω−4/3. However, smooth geometries arbitrarily close to the singular one require a finite amount of negative energy matter. The negative-mass Schwarzschild has a qualitatively different resolution interpreted to be fully reflecting. These 4d results are similar to the 2d black hole and are generalized to an arbitrary dimension d>4.


Keywords

Black Holes

Classical Theories of Gravity

2D Gravity

Black Holes in String Theory

 

E-print Number: hep-th/0401209

Cited: by |

Refers: to

PACS

04.20.-q Classical general relativity

04.70.Bw Classical black holes

Subjects

Gravitation and cosmology

Dates

Issue 08 (August 2004)

Received 29 June 2004, accepted for publication 4 August 2004

Published 15 September 2004



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