Instability of the Cauchy horizon of Reissner-Nordström black holes

Matzner, Richard A.; Zamorano, Nelson; Sandberg, V.

doi:10.1103/physrevd.19.2821

Cited by 88 publications

(82 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The fact that the CFT only appears to describe the region outside the Cauchy horizon may therefore be interpreted as an interesting manifestation of cosmic censorship in the AdS/CFT correspondence. It has previously been argued that violations of strong cosmic censorship in such charged black hole spacetimes are prevented by an instability of the Cauchy horizon: it is a surface of infinite blueshift [17], and is therefore unstable to generic perturbations of the exterior geometry [18]. It is not clear if the fact that the CFT sees the Cauchy horizon as the end of the classical spacetime in rotating black holes is a reflection of this instability, or represents a truly independent mechanism for enforcing cosmic censorship.…”

Section: Introductionmentioning

confidence: 99%

Holography beyond the horizon and cosmic censorship

Levi

Ross²

2003

Phys. Rev. D

View full text Add to dashboard Cite

We investigate the description of the region behind the event horizon in rotating black holes in the AdS/CFT correspondence, using the rotating BTZ black hole as a concrete example. We extend a technique introduced by Kraus, Ooguri and Shenker [1], based on analytically continuing amplitudes defined in a Euclidean space, to include rotation. In the rotating case, boundary amplitudes again have two different bulk descriptions, involving either integration only over the regions outside the black holes' event horizon, or integration over this region and the region between the event horizon and the Cauchy horizon (inner horizon). We argue that generally, the holographic map will relate the field theory to the region bounded by the Cauchy horizons in spacetime. We also argue that these results suggest that the holographic description of black holes will satisfy strong cosmic censorship.

show abstract

Section: Introductionmentioning

confidence: 99%

Holography beyond the horizon and cosmic censorship

Levi

Ross²

2003

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…The Cauchy horizon has been shown to be both classically [4][5][6][7][8][9] and quantum mechanically unstable [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Renormalization of the charged scalar field in curved space

Herman

Hiscock

1996

Phys. Rev. D

View full text Add to dashboard Cite

The DeWitt-Schwinger proper time point-splitting procedure is applied to a massive complex scalar field with arbitrary curvature coupling interacting with a classical electromagnetic field in a general curved spacetime. The scalar field current is found to have a linear divergence. The presence of the external background gauge field is found to modify the stress-energy tensor results of Christensen for the neutral scalar field by adding terms of the form (eF ) 2 to the logarithmic counterterms. These results are shown to be expected from an analysis of the degree of divergence of scalar quantum electrodynamics.

show abstract

“…Building on the initial observation by Penrose [5] that the CH is a surface of infinite gravitational blueshift, it has been demonstrated that the CH is unstable to linear gravitational and electromagnetic perturbations [6,7]. Further investigations have demonstrated that the CH is transformed into a null, scalar curvature singularity when full nonlinear evolution is considered [8][9][10].…”

mentioning

confidence: 99%

“…As above, we wish to determine the flux of radiation measured by an observer crossing the CH, and so must calculate the amplitude F defined in Eq. (6). The part of the amplitude which may be divergent at the CH is…”

mentioning

confidence: 99%

Cosmic Censorship: As Strong As Ever

1998

View full text Add to dashboard Cite

Spacetimes which have been considered counter-examples to strong cosmic censorship are revisited. We demonstrate the classical instability of the Cauchy horizon inside charged black holes embedded in de Sitter spacetime for all values of the physical parameters. The relevant modes which maintain the instability, in the regime which was previously considered stable, originate as outgoing modes near to the black hole event horizon. This same mechanism is also relevant for the instability of Cauchy horizons in other proposed counter-examples of strong cosmic censorship.Comment: 4 pages RevTeX style, 1 figure included using epsfi

show abstract

Instability of the Cauchy horizon of Reissner-Nordström black holes

Cited by 88 publications

References 13 publications

Holography beyond the horizon and cosmic censorship

Holography beyond the horizon and cosmic censorship

Renormalization of the charged scalar field in curved space

Cosmic Censorship: As Strong As Ever

Contact Info

Product

Resources

About