Testing the weak cosmic censorship conjecture in torus-like black hole under charged scalar field

Hong, Wei; Mu, Benrong; Tao, Jun

doi:10.1142/s0218271820500789

Cited by 18 publications

(8 citation statements)

References 60 publications

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“…Overall, because the WCC conjecture is associated with many black hole effects under various theories, it is still tested from various perspectives . Moreover, instead of tests based on a particle, the WCC conjecture can also be studied using probe fields as scattering processes [50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68]. In investigations of the WCC conjecture, the test matter changes the black holes along with their conserved quantities.…”

Section: Introductionmentioning

confidence: 99%

Weak cosmic censorship conjecture in Kerr-(anti-)de Sitter black hole with scalar field

Gwak

2018

J. High Energ. Phys.

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We investigate the weak cosmic censorship conjecture in Kerr-(anti-)de Sitter black holes under the scattering of a scalar field. We test the conjecture in terms of whether the black hole can exceed the extremal condition with respect to its change caused by the energy and angular momentum fluxes of the scalar field. Without imposing the laws of thermodynamics, we prove that the conjecture is valid in all the initial states of the black hole (non-extremal, near-extremal, and extremal black holes). The validity in the case of the near-extremal black hole is different from the results of similar tests conducted by adding a particle because the fluxes represent the energy and angular momentum transferred to the black hole during the time interval not included in the tests involving the particle. Using the time interval, we show that the angular velocity of the black hole with the scalar field of a constant state takes a long time for saturation to the frequency of the scalar field. 1 rasenis@sejong.ac.krBlack holes, which are directly proven to exist through detection by the Laser Interferometer Gravitational-Wave Observatory (LIGO), are among the most interesting topics in gravity theories. Classically, in the black hole spacetime, there is an event horizon through which no matter can escape from the black hole; thus, no radiation from the black hole can reach an observer located outside this horizon. However, in quantum theory, black holes act as thermal systems that emit energy through Hawking radiation [1,2]. In Hawking radiation, the Hawking temperature is defined for a black hole. Furthermore, when a particle is added to the black hole, depending on the conserved quantities of the particle, the conserved quantities of the black hole, such as mass and angular momentum, can increase or decrease. However, an irreducible quantity exists during this process, which is known as the irreducible mass [3][4][5]. The irreducible mass is the energy distributed on the surface of the horizon of the black hole [6]. Owing to the similarity between the irreducible mass and the thermodynamic entropy, the Bekenstein-Hawking entropy is defined to be proportional to the surface area of the black hole, which is the square of its irreducible mass [7,8]. Accordingly, we can establish the laws of thermodynamics for black holes.

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Section: Introductionmentioning

confidence: 99%

Weak cosmic censorship conjecture in Kerr-(anti-)de Sitter black hole with scalar field

Gwak

2018

J. High Energ. Phys.

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“…[82], the concept of the torus-like black hole was first introduced. This work has inspired many studies of the torus-like black hole, including the statistical entropy [83], the weak cosmic censorship conjecture [84,85], the tunneling radiation [86], heat engine [87], the dBB quantization [88], and other aspects [89][90][91]. Unlike previous studies, the topology of this space-time is S × S × M 2 .…”

Section: Introductionmentioning

confidence: 99%

Joule–Thomson expansion of the torus-like black hole

Liang

Lin

2021

Eur. Phys. J. Plus

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In this paper, we study the Joule-Thomson expansion of the torus-like black hole in extended phase space, where the cosmological constant is determined by the pressure. It is noteworthy that the torus-like black hole has a horizon of toroidal topology, rather than a horizon of spherical topology. We study both the inversion and isenthalpic curves of the torus-like black holes in the T − P plane and find that their intersection coincides with the inversion point that distinguishes the heat in the cooling process. Compared to the Van der Waals fluid, the inversion curves of torus-like black holes do not end at any point and only lower inversion curves are available. Most importantly, we find that the P − V diagram of the torus-like black hole has no inflection point, i.e., the torus-like black hole is always thermally stable. Therefore, the torus-like black hole has no critical point and critical temperature, and there is no ratio between the minimum inversion temperature and the critical temperature.

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“…In this paper, we investigate the heat engine efficiency of the torus-like black hole in Carnot cycle, rectangular cycle and the benchmark cycle. The torus-like black hole is a static solution of the Einstein-Maxwell equation, whose event horizon has S 1 × S 1 × R topology [44][45][46][47][48]. Each surface of this black hole of the spacetime at constant radius has a toroidal topology which is different from that of the asymptotically flat spacetimes.…”

Section: Introductionmentioning

confidence: 99%

Charged torus-like black holes as heat engines

Feng,

Huang,

Hong

et al. 2021

Preprint

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We investigate the thermodynamical properties of charged torus-like black holes and take it as the working substance to study the heat engines. In the extended phase space, by interpreting the cosmological constant as the thermodynamic pressure, we derive the thermodynamical quantities by the first law of black hole thermodynamics and obtain the equation of state. Then, we calculate the efficiency of the heat engine in Carnot cycle as well as rectangular cycle, and investigate how the efficiency changes with respect to volume. In addition, to avoid a negative temperature, we emphasize that the charge of this black hole can not be arbitrary. Last, we check the calculation accuracy of a benchmark scheme and discuss the upper bound and lower bound for charged toruslike black hole in the scheme.

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Testing the weak cosmic censorship conjecture in torus-like black hole under charged scalar field

Cited by 18 publications

References 60 publications

Weak cosmic censorship conjecture in Kerr-(anti-)de Sitter black hole with scalar field

Weak cosmic censorship conjecture in Kerr-(anti-)de Sitter black hole with scalar field

Joule–Thomson expansion of the torus-like black hole

Charged torus-like black holes as heat engines

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