scholarly journals The Inner Cauchy Horizon of Axisymmetric and Stationary Black Holes with Surrounding Matter in Einstein–Maxwell Theory: Study in Terms of Soliton Methods

2009 ◽  
Vol 10 (6) ◽  
pp. 1075-1095 ◽  
Author(s):  
Jörg Hennig ◽  
Marcus Ansorg
2008 ◽  
Vol 30 ◽  
pp. 107-109
Author(s):  
P. Tod
Keyword(s):  

Author(s):  
Xian-Hui Ge ◽  
Sang-Jin Sin

Abstract We study charged black hole solutions in 4-dimensional (4D) Einstein–Gauss–Bonnet–Maxwell theory to the linearized perturbation level. We first compute the shear viscosity to entropy density ratio. We then demonstrate how bulk causal structure analysis imposes an upper bound on the Gauss–Bonnet coupling constant in the AdS space. Causality constrains the value of Gauss–Bonnet coupling constant $$\alpha _{GB}$$αGB to be bounded by $$\alpha _{GB}\le 0$$αGB≤0 as $$D\rightarrow 4$$D→4.


2011 ◽  
Vol 20 (06) ◽  
pp. 1095-1122 ◽  
Author(s):  
MASARU SIINO ◽  
TATSUHIKO KOIKE

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.


2018 ◽  
Vol 33 (13) ◽  
pp. 1850076 ◽  
Author(s):  
G. G. L. Nashed ◽  
S. Capozziello

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.


2015 ◽  
Vol 2015 (10) ◽  
Author(s):  
Alfredo Pérez ◽  
Miguel Riquelme ◽  
David Tempo ◽  
Ricardo Troncoso

1994 ◽  
Vol 50 (2) ◽  
pp. 841-845 ◽  
Author(s):  
D. A. Konkowski ◽  
T. M. Helliwell

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