scholarly journals Stability and phase transition of rotating Kaluza–Klein black holes

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Seyed Hossein Hendi ◽  
Somayeh Hajkhalili ◽  
Mubasher Jamil ◽  
Mehrab Momennia
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Canonical Ensemble ◽  
Quasinormal Modes ◽  
Scalar Perturbation ◽  
Thermodynamic Quantities ◽  
Resonance Modes ◽  
Maxwell Electrodynamics ◽  
The Stability ◽  
Kaluza Klein

AbstractIn this paper, we investigate the thermodynamics and phase transitions of a four-dimensional rotating Kaluza–Klein black hole solution in the presence of Maxwell electrodynamics. Calculating the conserved and thermodynamic quantities shows that the first law of thermodynamics is satisfied. To find the stable black hole’s criteria, we check the stability in the canonical ensemble by analyzing the behavior of the heat capacity. We also consider a massive scalar perturbation minimally coupled to the background geometry of the four-dimensional static Kaluza–Klein black hole and investigate the quasinormal modes by employing the Wentzel–Kramers–Brillouin (WKB) approximation. The anomalous decay rate of the quasinormal modes spectrum is investigated by using the sixth-order WKB formula and quasi-resonance modes of the black hole are studied with averaging of Padé approximations as well.

Scalar and Dirac quasinormal modes of the scalar-tensor-Gauss-Bonnet black holes

2021 ◽  
Author(s):  
Tongzheng Wang ◽  
Wei-Liang Qian ◽  
Juan Fernando Zapata Zapata ◽  
Kai Lin
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Solution ◽  
Magnetic Charge ◽  
Quasinormal Modes ◽  
Analytic Solutions ◽  
Adm Mass ◽  
Black Hole Spacetimes ◽  
Different Types ◽  
The Stability

Abstract This work explores the scalar and Dirac quasinormal modes pertaining to a class of black hole solutions in the scalar-tensor-Gauss-Bonnet theory. The black hole metrics in question are novel analytic solutions recently derived in the extended version of the latter theory, which effectively follows at the level of the action of string theory. Owing to the existence of a nonlinear electromagnetic field, the black hole solution possesses a nonvanishing magnetic charge. In particular, the metric is capable of describing black holes with distinct characteristics by assuming different values of the ADM mass and the magnetic charge. The present study is devoted to investigating the scalar and Dirac perturbations in the above black hole spacetimes, and in particular, based on distinct horizon structures, we focus on two different types of solutions. The properties of the complex frequencies of the obtained dissipative oscillations are investigated, and subsequently, the stability of the metric is addressed. We elaborate on the possible implications of the present study.

scholarly journals Massive scalar perturbations on Myers-Perry–de Sitter black holes with a single rotation

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Supakchai Ponglertsakul ◽  
Bogeun Gwak
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quasinormal Modes ◽  
Analytic Formula ◽  
Asymptotic Iteration Method ◽  
Scalar Perturbation ◽  
De Sitter ◽  
Spin Parameter ◽  
Higher Dimensional ◽  
The Stability

AbstractThis study investigates the stability of higher-dimensional singly rotating Myers-Perry–de Sitter (MP–dS) black holes against scalar field perturbations. The phase spaces of MP-dS black holes with one spin parameter are discussed. Additionally, the quasinormal modes (QNMs) of MP-dS black holes are calculated via the asymptotic iteration method and sixth-order Wentzel–Kramers–Brillouin approximation. For near-extremal MP-dS black holes, the event horizon may be considerably close to the cosmological horizon. In such cases, the Pöschl–Teller technique yields an accurate analytic formula for the QNMs. It is found that when the spin parameter of a black hole increases, the scalar perturbation modes oscillate at higher frequencies and decay faster. Furthermore, the MP-dS black hole with a single rotation is found to be stable under perturbation.

scholarly journals ON KALUZA–KLEIN SPACE–TIME IN EINSTEIN–GAUSS–BONNET GRAVITY

2009 ◽  
Vol 18 (04) ◽  
pp. 599-611 ◽  
Author(s):  
ALFRED MOLINA ◽  
NARESH DADHICH
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Dimensional Space ◽  
Space Time ◽  
Two Dimensional ◽  
Bonnet Gravity ◽  
Space Of Constant Curvature ◽  
Dimensional Black Hole ◽  
Dimensional Space Time ◽  
Kaluza Klein

By considering the product of the usual four-dimensional space–time with two dimensional space of constant curvature, an interesting black hole solution has recently been found for Einstein–Gauss–Bonnet gravity. It turns out that this as well as all others could easily be made to radiate Vaidya null dust. However, there exists no Kerr analog in this setting. To get the physical feel of the four-dimensional black hole space–times, we study asymptotic behavior of stresses at the two ends, r → 0 and r → ∞.

scholarly journals ORIGIN OF MATTER OUT OF PURE CURVATURE

2008 ◽  
Vol 17 (03n04) ◽  
pp. 513-518 ◽  
Author(s):  
NARESH DADHICH ◽  
HIDEKI MAEDA
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Space Time ◽  
De Sitter ◽  
Matter Distribution ◽  
Static Black Hole ◽  
Negative Constant ◽  
Usual Formula ◽  
The Universe ◽  
Kaluza Klein

We propose a mechanism for the origin of matter in the universe in the framework of Einstein–Gauss–Bonnet gravity in higher dimensions. The new static black hole solution recently discovered by the authors,1 with the Kaluza–Klein split of space–time as a product of the usual [Formula: see text] with a space of negative constant curvature, is indeed a pure gravitational creation of a black hole which is also endowed with a Maxwell-like gravitational charge in four-dimensional vacuum space–time. This solution has been further generalized to include radially flowing radiation, which means that extra-dimensional curvature also produces matter distribution asymptotically, resembling charged null dust. The static black hole could thus be envisioned as being formed from anti–de Sitter space–time by the collapse of radially inflowing charged null dust. It thus establishes the remarkable reciprocity between matter and gravity — as matter produces gravity (curvature), gravity produces matter. After the Kaluza–Klein generation of the Maxwell field, this is the first instance of realization of matter without matter in the classical framework.

scholarly journals Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Jia-Hui Huang ◽  
Tian-Tian Cao ◽  
Mu-Zi Zhang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Numerical Methods ◽  
Effective Potential ◽  
Scalar Perturbation ◽  
Polynomial Equations ◽  
Potential Well ◽  
Massive Scalar ◽  
Higher Dimensional ◽  
The Stability

AbstractWe revisit the superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes under charged massive scalar perturbation with a new analytical method. In each case, it is analytically proved that the effective potential experienced by the scalar perturbation has only one maximum outside the black hole horizon and no potential well exists for the superradiance modes. So the five and six-dimensional extremal Reissner–Nordstrom black holes are superradiantly stable. The new method we developed is based on the Descartes’ rule of signs for the polynomial equations. Our result provides a complementary support of previous studies on the stability of higher dimensional extremal Reissner–Nordstrom black holes based on numerical methods.

Spherically symmetric black hole solution in mimetic gravity and anti-evaporation

2018 ◽  
Vol 15 (09) ◽  
pp. 1850154 ◽  
Author(s):  
G. G. L. Nashed
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Spherically Symmetric ◽  
Mimetic Theory ◽  
Event Horizons ◽  
Flat Spacetime ◽  
Symmetric Black Hole ◽  
The Stability ◽  
Mimetic Gravity ◽  
Black Hole Solutions

In this paper, we study the mimetic theory and derive a new spherically symmetric black hole solution. The asymptotic behavior of this solution behaves as a flat spacetime. This black hole is characterized by the fact that it has different components of [Formula: see text] and [Formula: see text]. Nevertheless, both of these components have a coinciding Killing and event horizons. Furthermore, this black hole has curvature singularities which are stronger than those of the known black hole solutions in general relativity. This feature can be shown by calculating some invariants of curvature. We study the stability of the perturbation and the related anti-evaporation of the Nariai spacetime.

scholarly journals QUASINORMAL MODES AND STABILITY ANALYSIS FOR Z = 4 TOPOLOGICAL BLACK HOLE IN 4 + 1-DIMENSIONAL HORAVA–LIFSHITZ GRAVITY

2013 ◽  
Vol 22 (02) ◽  
pp. 1350007 ◽  
Author(s):  
RAMÓN BECAR ◽  
P. A. GONZÁLEZ ◽  
YERKO VÁSQUEZ
Keyword(s):  
Black Hole ◽  
Stability Analysis ◽  
Imaginary Part ◽  
Quasinormal Modes ◽  
The Stability ◽  
Scalar Perturbations

We study the stability of z = 4 topological black hole in 4 + 1-dimensional Horava–Lifshitz gravity against scalar perturbations by analyzing the quasinormal modes (QNMs). It is possible to distinguish two cases for which the black hole is stable. The first one occurs when p + Q > 0 and QNMs are characterized by a real and imaginary part, meaning that the field has oscillatory modes but with Im (ω) < 0; therefore, it is stable. While in the second case p + Q < 0, QNMs are purely imaginary ( Im (ω) < 0) and then absolutely damped.

scholarly journals QUASINORMAL MODES AND STABILITY ANALYSIS FOR FOUR-DIMENSIONAL LIFSHITZ BLACK HOLE

2012 ◽  
Vol 21 (06) ◽  
pp. 1250054 ◽  
Author(s):  
P. A. GONZÁLEZ ◽  
JOEL SAAVEDRA ◽  
YERKO VÁSQUEZ
Keyword(s):  
Black Hole ◽  
Stability Analysis ◽  
Quasinormal Modes ◽  
Dynamical Exponent ◽  
Four Dimensions ◽  
Lifshitz Black Hole ◽  
The Stability ◽  
Scalar Perturbations

We study the Lifshitz black hole in four dimensions with dynamical exponent z = 2 and we calculate analytically the quasinormal modes of scalar perturbations. These quasinormal modes allow to study the stability of the Lifshitz black hole and we have obtained that Lifshitz black hole is stable.

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