scholarly journals A Topologically Charged Rotating Black Hole in the Brane

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Alexis Larrañaga ◽  
Claudia Grisales ◽  
Manuel Londoño

We have obtained a rotating black hole solution in the braneworld scenario by applying the Newman-Janis algorithm. The new solution carries two types of charge, one arising from the bulk Weyl tensor and one from the gauge field trapped on the brane. In order to obtain this result, we used a modified version of the algorithm in which the involved complexification is the key point. The analysis of the horizon structure of the new metric shows similarities to the Kerr-Newman solution. In particular, there is a minimal mass to which the black hole can decay through the Hawking radiation. From the thermodynamical analysis, the possibility of a degenerate horizon gives a temperature that, instead of a divergent behaviour at short scales, admits both a minimum and a maximum before cooling down towards a zero temperature remnant configuration.

2005 ◽  
Vol 114 (3) ◽  
pp. 707-712 ◽  
Author(s):  
H. Nomura ◽  
S. Yoshida ◽  
M. Tanabe ◽  
K.-i. Maeda

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1303
Author(s):  
A. J. Nurmagambetov ◽  
I. Y. Park

We continue our recent endeavor in which a time-dependent black hole solution of a one-loop quantum-corrected Einstein-scalar system was obtained and its near-horizon behavior was analyzed. The energy analysis led to a trans-Planckian scaling behavior near the event horizon. In the present work, the analysis is extended to a rotating black hole solution of an Einstein–Maxwell-scalar system with a Higgs potential. Although the analysis becomes much more complex compared to that of the previous, we observe the same basic features, including the quantum-gravitational trans-Planckian energy near the horizon.


2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Alexis Larrañaga ◽  
Andres Rengifo ◽  
Luis Cabarique

We find a new general black hole solution in the braneworld scenario, considering a modified 5-dimensionalfℛaction in the bulk. We study the horizon structure and find the possibility of two, one, or no horizon depending on the value of the topological parameterβ. On the thermodynamics side, we show that the value of the topological parameter determines the black hole temperature to have a divergent behaviour at small scales or to present a maximum value before cooling down towards a zero temperature remnant.


Author(s):  
M. B. Tataryn ◽  
M. M. Stetsko

A three-dimensional slowly rotating black hole solution in the presence of negative cosmological constant in the Einstein-power-Maxwell theory is studied. It is shown that in the small rotation limit, the electric field, diagonal metric function and thermodynamic properties are the same as for static case, whereas the small rotation gives in addition a nondiagonal metric function and magnetic field which are also small. For these functions cased by rotation of black hole, exact integral solution and analytic asymptotic solution were obtained.


2016 ◽  
Vol 25 (10) ◽  
pp. 1650088
Author(s):  
Metin Arik ◽  
Yorgo Senikoglu

We present a time-dependent isotropic fluid solution around a Schwarzschild black hole. We offer the solutions and discuss the effects on the field equations and the horizon. We derive the energy density, pressure and the equation of state parameter. In the second part, we generalize the rotating black hole solution to an expanding universe. We derive from the proposed metric the special solutions of the field equations for the dust approximation and the dark energy solution. We show that the presence of a rotating black hole does not modify the scale factor [Formula: see text] law for dust, nor [Formula: see text] and [Formula: see text] for dark energy.


2014 ◽  
Vol 29 (11n12) ◽  
pp. 1450061 ◽  
Author(s):  
Shan Bai ◽  
Da-Wei Pang

We study holographic charge transport in (2+1) dimensions at finite N, whose dual gravity background is given by perturbative black hole solution in Einstein theory plus cubic terms of Weyl tensor. We consider the higher derivative corrections to the standard Maxwell action, given by the interacting terms between the Weyl tensor and the field strength. We calculate the DC conductivity by using both the membrane paradigm and the Kubo's formula and find precise agreement. We compute the AC conductivity and find an analog of the crossover from "metal" to "bad metal" in the low frequency limit. Moreover, the conductivity becomes a constant in the large frequency limit. We derive two universal relations for the Green's functions and observe that they are exactly the same as the infinite N counterparts.


2009 ◽  
Vol 24 (08) ◽  
pp. 625-632 ◽  
Author(s):  
XIAOXIONG ZENG

We study Hawking radiation of fermions from a (4+n)-dimensional rotating black hole on the brane in terms of the fermions tunneling formalism, proposed by Kerner and Mann recently. To choose the Gamma matrices properly and avoid the ergosphere dragging effect, we perform it in the dragging coordinate frame. We obtain the tunneling rate and emission temperature of fermions which are consistent with the case of scalar particles as expected.


Author(s):  
A. J. Nurmagambetov ◽  
I. Y. Park

We continue our recent endeavor in which a time-dependent black hole solution of a one-loop quantum-corrected Einstein-scalar system was obtained and its near-horizon behavior was analyzed. The energy analysis led to a trans-Planckian scaling behavior near the event horizon. In the present work the analysis is extended to a rotating black hole solution of an Einstein-Maxwell-scalar system with a Higgs potential. Although the analysis becomes much more complex compared to that of the previous, we observe the same basic features, including the quantum-gravitational trans-Planckian energy near the horizon.


2009 ◽  
Vol 60 (4) ◽  
pp. 685-689 ◽  
Author(s):  
Ren Zhao ◽  
Yue-Qin Wu ◽  
Li-Chun Zhang ◽  
Huai-Fan Li

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