Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations

By M. C. Dafermos. 2001

188 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a051585d93044709afd7f805c7ba6bb270395c0a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Aretakis
2. András Vasy
3. Mihalis Dafermos
4. Igor Rodnianski
5. J. Luk
6. P. Hintz
7. D. Tataru
8. P. Blue

In Nuclear and High Energy Physics

1. S. Aretakis
2. András Vasy
3. Igor Rodnianski
4. Mihalis Dafermos
5. J. Luk
6. P. Hintz
7. D. Tataru
8. Joseph Keir

Citations in the corpus

• The interior of charged black holes and the problem of uniqueness in general relativity (2003, methodology): “2The considerations leading to this particular system are discussed at length in [ 22 , 23, 4, 5].”
• The evolution problem in general relativity (2008, background): “For both the charged-scalar field system and the Bianchi IX vacuum system, even more ambitious than Open problem 13 would be to study the strong and weak cosmic censorship conjectures, possibly unifying the analysis of [40, 51, 52].”
• The interior of dynamical vacuum black holes I: The $C^0$-stability of the Kerr Cauchy horizon (2017, background): “A stronger lower bound than that of [81] can be obtained by using also the results of [2], and this together with a monotonicity argument of [26] allows one to show that ψ at the Cauchy horizon is not in W 1,p loc for any p > 1.”
• The global non-linear stability of the Kerr-de Sitter family of black holes (2016, methodology): “Non-linear problems on exterior Λ = 0 black hole spacetimes were studied by Dafermos, Holzegel and Rodnianski [DHR13] who constructed backward solutions of the Einstein vacuum equations settling down to Kerr exponentially fast (regarding this point, see also [DSR15]); for forward problems, Dafermos ”
• Black Holes Without Spacelike Singularities (2012, background): “The massinflation scenario and the associated weak null singularities were finally mathematically proven in [15, 17] to indeed occur in the Einstein–Maxwell–real scalar field model.”
• Lectures on black holes and linear waves (2008, methodology): “For both the chargedscalar field system and the Bianchi IX vacuum system, even more ambitious than Open problem 13 would be to study the strong and weak cosmic censorship conjectures, possibly unifying the analysis of [45, 58, 59].”
• A proof of Price’s law for the collapse of a self-gravitating scalar field (2003, background): “The motivation for this system has been discussed in previous work of the first author [23, 24].”
• Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations I (2011, methodology): “For example, Price’s law (see [19]) and the stability and instability of Cauchy horizons in an appropriate setting (see [ 17 ]) were proved using, in particular, this effect.”