scholarly journals Ultra-spinning Chow’s black holes in six-dimensional gauged supergravity and their properties

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Di Wu ◽  
Shuang-Qing Wu
Keyword(s):  
Black Hole ◽  
Mass Formula ◽  
Mass Parameter ◽  
Rotation Parameter ◽  
Charged Black Hole ◽  
Supergravity Theory ◽  
Thermodynamical Properties ◽  
Reverse Isoperimetric Inequality ◽  
Charge Parameter ◽  
Spatial Axis

Abstract By taking the ultra-spinning limit as a simple solution-generating trick, a novel class of ultra-spinning charged black hole solutions has been constructed from Chow’s rotating charged black hole with two equal-charge parameters in six-dimensional $$ \mathcal{N} $$ N = 4 gauged supergravity theory. We investigate their thermodynamical properties and then demonstrate that all thermodynamical quantities completely obey both the differential first law and the Bekenstein-Smarr mass formula. For the six-dimensional ultra-spinning Chow’s black hole with only one rotation parameter, we show that it does not always obey the reverse isoperimetric inequality, thus it can be either sub-entropic or super-entropic, depending upon the ranges of the mass parameter and especially the charge parameter. This property is obviously different from that of the six-dimensional singly-rotating Kerr-AdS super-entropic black hole, which always strictly violates the RII. For the six-dimensional doubly-rotating Chow’s black hole but ultra-spinning only along one spatial axis, we point out that it may also obey or violate the RII, and can be either super-entropic or sub-entropic in general.

scholarly journals KERR–NEWMAN SOLUTION AND ENERGY IN TELEPARALLEL EQUIVALENT OF EINSTEIN THEORY

2007 ◽  
Vol 22 (14) ◽  
pp. 1047-1056 ◽  
Author(s):  
GAMAL G. L. NASHED
Keyword(s):  
Black Hole ◽  
Vector Field ◽  
Symmetric Solution ◽  
Gravitational Energy ◽  
Rotation Parameter ◽  
Axially Symmetric ◽  
Einstein Theory ◽  
Newman Black Hole ◽  
Charge Parameter ◽  
Electromagnetic Vector Potential

An exact charged axially symmetric solution of the coupled gravitational and electromagnetic fields in the teleparallel equivalent of Einstein theory is derived. It is characterized by three parameters "the gravitational mass M, the charge parameter Q and the rotation parameter a" and its associated metric gives Kerr–Newman spacetime. The parallel vector field and the electromagnetic vector potential are axially symmetric. We then calculate the total energy using the gravitational energy–momentum. The energy is found to be shared by its interior as well as exterior. Switching off the charge parameter we find that no energy is shared by the exterior of the Kerr–Newman black hole.

scholarly journals Instability of super-entropic black holes in extended thermodynamics

2020 ◽  
Vol 35 (13) ◽  
pp. 2050098 ◽  
Author(s):  
Clifford V. Johnson
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Specific Heat ◽  
Isoperimetric Inequality ◽  
Large Family ◽  
Constant Volume ◽  
Extended Thermodynamics ◽  
Charged Black Hole ◽  
Reverse Isoperimetric Inequality ◽  
Gravitational Thermodynamics

The charged black hole of Bañados, Teitelbiom and Zanelli is studied in extended gravitational thermodynamics where there is a dynamical pressure and volume. It is a simple example of a super-entropic black hole, violating the reverse isoperimetric inequality. It is proven that this property implies that its specific heat at constant volume is negative, signaling a new kind of fundamental instability for black holes. It is conjectured that this instability is present for other super-entropic black holes, and this is demonstrated numerically for a large family of known solutions.

scholarly journals Charged accelerating AdS black hole of f(R) gravity and the Joule–Thomson expansion

2020 ◽  
Vol 17 (09) ◽  
pp. 2050136 ◽  
Author(s):  
M. Rostami ◽  
J. Sadeghi ◽  
S. Miraboutalebi ◽  
A. A. Masoudi ◽  
B. Pourhassan
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Critical Temperature ◽  
Mass Formula ◽  
Van Der Waals ◽  
De Sitter ◽  
Thermodynamical Properties ◽  
Inversion Temperature ◽  
Ads Black Holes

In this paper, the thermodynamical properties and the phase transitions of the charged accelerating anti-de Sitter (AdS) black holes are investigated in the framework of the [Formula: see text] gravity. By studying the conditions for the phase transitions, it has been shown that the [Formula: see text] criticality and the van der Waals like phase transitions can be achieved for [Formula: see text]. The Joule–Thomson expansion effects are also examined for the charged accelerating AdS black holes of the [Formula: see text] gravity. Here, we derive the inversion temperatures as well as the inversion curves. Then, we determine the position of the reverse point for different values of mass [Formula: see text] and parameter [Formula: see text] for the corresponding black hole. At this point, the Joule–Thompson coefficient is zero. So, in such case, we can say that such point is very important for the finding of cooling–heating regions. Finally, we calculate the ratio of minimum inversion temperature and critical temperature for such black hole.

scholarly journals Circular geodesic of Bardeen and Ayon–Beato–Garcia regular black-hole and no-horizon spacetimes

2015 ◽  
Vol 24 (02) ◽  
pp. 1550020 ◽  
Author(s):  
Zdeněk Stuchlík ◽  
Jan Schee
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Mass Parameter ◽  
Naked Singularity ◽  
Spectral Lines ◽  
Nonlinear Electrodynamics ◽  
Regular Black Hole ◽  
Static Sphere ◽  
Charge Parameter ◽  
Circular Geodesic

In this paper, we study circular geodesic motion of test particles and photons in the Bardeen and Ayon–Beato–Garcia (ABG) geometry describing spherically symmetric regular black-hole or no-horizon spacetimes. While the Bardeen geometry is not exact solution of Einstein's equations, the ABG spacetime is related to self-gravitating charged sources governed by Einstein's gravity and nonlinear electrodynamics. They both are characterized by the mass parameter m and the charge parameter g. We demonstrate that in similarity to the Reissner–Nordstrom (RN) naked singularity spacetimes an antigravity static sphere should exist in all the no-horizon Bardeen and ABG solutions that can be surrounded by a Keplerian accretion disc. However, contrary to the RN naked singularity spacetimes, the ABG no-horizon spacetimes with parameter g/m > 2 can contain also an additional inner Keplerian disc hidden under the static antigravity sphere. Properties of the geodesic structure are reflected by simple observationally relevant optical phenomena. We give silhouette of the regular black-hole and no-horizon spacetimes, and profiled spectral lines generated by Keplerian rings radiating at a fixed frequency and located in strong gravity region at or nearby the marginally stable circular geodesics. We demonstrate that the profiled spectral lines related to the regular black-holes are qualitatively similar to those of the Schwarzschild black-holes, giving only small quantitative differences. On the other hand, the regular no-horizon spacetimes give clear qualitative signatures of their presence while compared to the Schwarschild spacetimes. Moreover, it is possible to distinguish the Bardeen and ABG no-horizon spacetimes, if the inclination angle to the observer is known.

scholarly journals Regular charged black hole construction in dimensions

2012 ◽  
Vol 376 (8-9) ◽  
pp. 893-898 ◽  
Author(s):  
S. Habib Mazharimousavi ◽  
M. Halilsoy ◽  
T. Tahamtan
Keyword(s):  
Black Hole ◽  
Charged Black Hole

scholarly journals New non-extremal and BPS hairy black holes in gauged $$ \mathcal{N} $$ = 2 and $$ \mathcal{N} $$ = 8 supergravity

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Andres Anabalon ◽  
Dumitru Astefanesei ◽  
Antonio Gallerati ◽  
Mario Trigiante
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Boundary Conditions ◽  
Charged Black Hole ◽  
Dual Theory ◽  
Real Numbers ◽  
Hairy Black Holes ◽  
Interpolation Parameter ◽  
Black Hole Solutions ◽  
Extremal Black Holes

Abstract In this article we study a family of four-dimensional, $$ \mathcal{N} $$ N = 2 supergravity theories that interpolates between all the single dilaton truncations of the SO(8) gauged $$ \mathcal{N} $$ N = 8 supergravity. In this infinitely many theories characterized by two real numbers — the interpolation parameter and the dyonic “angle” of the gauging — we construct non-extremal electrically or magnetically charged black hole solutions and their supersymmetric limits. All the supersymmetric black holes have non-singular horizons with spherical, hyperbolic or planar topology. Some of these supersymmetric and non-extremal black holes are new examples in the $$ \mathcal{N} $$ N = 8 theory that do not belong to the STU model. We compute the asymptotic charges, thermodynamics and boundary conditions of these black holes and show that all of them, except one, introduce a triple trace deformation in the dual theory.

scholarly journals Electrically charged black hole with scalar hair

2006 ◽  
Vol 74 (6) ◽  
Author(s):  
Cristián Martínez ◽  
Ricardo Troncoso
Keyword(s):  
Black Hole ◽  
Charged Black Hole ◽  
Scalar Hair ◽  
Electrically Charged

scholarly journals Phase Transitions of the BTZ Black Hole in New Massive Gravity

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Yun Soo Myung
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Transitions ◽  
Fourth Order ◽  
Mass Parameter ◽  
Massive Gravity ◽  
Curvature Radius ◽  
Btz Black Hole

We investigate thermodynamics of the BTZ black hole in new massive gravity explicitly. Form2l2>1/2withm2being the mass parameter of fourth-order terms andl2AdS3curvature radius, the Hawking-Page phase transition occurs between the BTZ black hole and AdS (thermal) soliton. Form2l2<1/2, however, this transition unlikely occurs but a phase transition between the BTZ black hole and the massless BTZ black hole is possible to occur. We may call the latter the inverse Hawking-Page phase transition and this transition is favored in the new massive gravity.

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