Mass inflation and the Cauchy horizon stability conjecture for (2+1)-dimensional dilation black holes

1995 ◽  
Vol 208 (4-6) ◽  
pp. 281-285 ◽  
Author(s):  
Rong-Gen Cai ◽  
Ding-Feng Zhao
Keyword(s):  
Black Holes ◽  
Cauchy Horizon ◽  
Stability Conjecture ◽  
Mass Inflation

scholarly journals Cauchy horizon stability and mass inflation with a cosmological constant

2015 ◽  
Vol 600 ◽  
pp. 012031
Author(s):  
João L Costa ◽  
Pedro M Girão ◽  
José Natário ◽  
Jorge Drumond Silva
Keyword(s):  
Cosmological Constant ◽  
Cauchy Horizon ◽  
Mass Inflation

scholarly journals TOPOLOGICAL CLASSIFICATION OF BLACK HOLES: GENERIC MAXWELL SET AND CREASE SET OF A HORIZON

2011 ◽  
Vol 20 (06) ◽  
pp. 1095-1122 ◽  
Author(s):  
MASARU SIINO ◽  
TATSUHIKO KOIKE
Keyword(s):  
Black Holes ◽  
Smooth Function ◽  
Singularity Theory ◽  
Topological Classification ◽  
Cauchy Horizon ◽  
Qualitative Properties ◽  
Important Object ◽  
Maxwell Set ◽  
Spatial Section

The crease set of an event horizon or a Cauchy horizon is an important object which determines the qualitative properties of the horizon. In particular, it determines the possible topologies of the spatial sections of the horizon. By Fermat's principle in geometric optics, we relate the crease set and the Maxwell set of a smooth function in the context of singularity theory. We thereby give a classification of generic topological structures of the Maxwell sets and the generic topologies of the spatial section of the horizon.

scholarly journals Charged anti-de Sitter BTZ black holes in Maxwell-f(T) gravity

2018 ◽  
Vol 33 (13) ◽  
pp. 1850076 ◽  
Author(s):  
G. G. L. Nashed ◽  
S. Capozziello
Keyword(s):  
Black Holes ◽  
Special Form ◽  
Energy Content ◽  
Equations Of Motion ◽  
Main Task ◽  
Cauchy Horizon ◽  
De Sitter ◽  
Vector Form ◽  
Charged Case ◽  
General Vector

Inspired by the Bañados, Teitelboim and Zanelli (BTZ) formalism, we discuss the Maxwell-[Formula: see text] gravity in [Formula: see text] dimensions. The main task is to derive exact solutions for a special form of [Formula: see text], with [Formula: see text] being the torsion scalar of Weitzenböck geometry. To this end, a triad field is applied to the equations of motion of charged [Formula: see text] and sets of circularly symmetric noncharged and charged solutions have been derived. We show that, in the charged case, the monopole-like and the [Formula: see text] terms are linked by a correlative constant despite the known results in teleparallel geometry and its extensions.[Formula: see text] Furthermore, it is possible to show that the event horizon is not identical with the Cauchy horizon due to such a constant. The singularities and the horizons of these black holes are examined: they are new and have no analogue in the literature due to the fact that their curvature singularities are soft. We calculate the energy content of these solutions by using the general vector form of the energy–momentum within the framework of [Formula: see text] gravity. Finally, some thermodynamical quantities, like entropy and Hawking temperature, are derived.

Inner-horizon instability and mass inflation in black holes

1989 ◽  
Vol 63 (16) ◽  
pp. 1663-1666 ◽  
Author(s):  
E. Poisson ◽  
W. Israel
Keyword(s):  
Black Holes ◽  
Inner Horizon ◽  
Mass Inflation

Instabilities of the Cauchy horizon in Kerr black holes

1994 ◽  
Vol 50 (2) ◽  
pp. 841-845 ◽  
Author(s):  
D. A. Konkowski ◽  
T. M. Helliwell
Keyword(s):  
Black Holes ◽  
Cauchy Horizon ◽  
Kerr Black Holes

scholarly journals Structure of the charged spherical black hole interior

1995 ◽  
Vol 450 (1940) ◽  
pp. 553-567 ◽  
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Numerical Study ◽  
Massless Scalar ◽  
Approximate Analytic Solution ◽  
Massless Scalar Field ◽  
Cauchy Horizon ◽  
Field Equations ◽  
Mass Inflation ◽  
Scalar Field Equations

The internal structure of a charged spherical black hole is still a topic of debate. In a non-rotating but aspherical gravitational collapse to form a spherical charged black hole, the backscattered gravitational wave tails enter the black hole and are blueshifted at the Cauchy horizon. This has a catastrophic effect if combined with an outflux crossing the Cauchy horizon: a singularity develops at the Cauchy horizon and the effective mass inflates. Recently, a numerical study of a massless scalar field in the Reissner-Nordström background suggested that a spacelike singularity may form before the Cauchy horizon forms. We will show that there exists an approximate analytic solution of the scalar-field equations which allows the mass-inflation singularity at the Cauchy horizon to exist. In particular, we see no evidence that the Cauchy horizon is preceded by a spacelike singularity.

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