scholarly journals CAN BLACK HOLES BE CREATED AT THE BIRTH OF THE UNIVERSE?

1999 ◽  
Vol 14 (34) ◽  
pp. 2403-2408 ◽  
Author(s):  
ZHONG CHAO WU
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
De Sitter Space ◽  
Black Hole Horizon ◽  
De Sitter ◽  
The Family ◽  
The Creation ◽  
The Universe ◽  
Entropy Of The Universe

We study the quantum creation of black hole pairs in the (anti-)de Sitter space background. These black hole pairs in the Kerr–Newman family are created from constrained instantons. At the WKB level, for the chargeless and nonrotating case, the relative creation probability is the exponential of (the negative of) the entropy of the universe. Also for the remaining cases of the family, the creation probability is the exponential of (the negative of) one quarter of the sum of the inner and outer black hole horizon areas. In the absence of a general no-boundary proposal for open universes, we treat the creations of the closed and the open universes in the same way.

scholarly journals Quantum Creation of a Black Hole

1997 ◽  
Vol 06 (02) ◽  
pp. 199-210 ◽  
Author(s):  
Zhong Chao Wu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Wave Function ◽  
De Sitter Space ◽  
Total Entropy ◽  
De Sitter ◽  
Conical Singularities ◽  
Gravitational Instanton ◽  
The Universe ◽  
Black Hole Creation

Using the Hartle–Hawking no-boundary proposal for the wave function of the universe, we can study the wave function and probability of a single black hole created at the birth of the universe. The black hole originates from a generalized gravitational instanton with conical singularities. The wave function and probability of a universe with a black hole are calculated at the W K B level. The probability of a black hole creation is the exponential of one quarter of the sum of areas of the black hole and cosmological horizons. One quarter of this sum is the total entropy of universe. We show that these arguments apply to all kinds of black holes in the de Sitter space background.

scholarly journals Phase transitions and entropy force of charged de Sitter black holes with cloud of string and quintessence

2020 ◽  
Vol 29 (15) ◽  
pp. 2050108
Author(s):  
Yubo Ma ◽  
Yang Zhang ◽  
Ren Zhao ◽  
Shuo Cao ◽  
Tonghua Liu ◽  
...  
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Black Hole Horizon ◽  
Thermodynamic Quantities ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Lennard Jones ◽  
First Order Phase Transition ◽  
First Order Phase

In this paper, we investigate the combined effects of the cloud of strings and quintessence on the thermodynamics of a Reissner–Nordström–de Sitter black hole. Based on the equivalent thermodynamic quantities considering the correlation between the black hole horizon and the cosmological horizon, we extensively discuss the phase transitions of the spacetime. Our analysis proves that similar to the case in AdS spacetime, second-order phase transitions could take place under certain conditions, with the absence of first-order phase transition in the charged de Sitter (dS) black holes with cloud of string and quintessence. The effects of different thermodynamic quantities on the phase transitions are also quantitatively discussed, which provides a new approach to study the thermodynamic qualities of unstable dS spacetime. Focusing on the entropy force generated by the interaction between the black hole horizon and the cosmological horizon, as well as the Lennard–Jones force between two particles, our results demonstrate the strong degeneracy between the entropy force of the two horizons and the ratio of the horizon positions, which follows the surprisingly similar law given the relation between the Lennard–Jones force and the ratio of two particle positions. Therefore, the study of the entropy force between two horizons is not only beneficial to the deep exploration of the three modes of cosmic evolution, but also helpful to understand the correlation between the microstates of particles in black holes and those in ordinary thermodynamic systems.

scholarly journals The fate of Schwarzschild–de Sitter black holes in f(R) gravity

2016 ◽  
Vol 31 (09) ◽  
pp. 1650054 ◽  
Author(s):  
Andrea Addazi ◽  
Salvatore Capozziello
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Thermal Radiation ◽  
Black Hole Physics ◽  
Black Hole Horizon ◽  
De Sitter ◽  
Trapped Surfaces ◽  
Emission Time ◽  
Marginally Trapped Surfaces

The semiclassical effects of anti-evaporating black holes can be discussed in the framework of f(R) gravity. In particular, the Bousso–Hawking–Nojiri–Odinstov anti-evaporation instability of degenerate Schwarzschild–de Sitter black holes (the so-called Nariai spacetime) leads to a dynamical increasing of black hole horizon in f(R) gravity. This phenomenon causes the following transition: emitting marginally trapped surfaces (TS) become space-like surfaces before the effective Bekenstein–Hawking emission time. As a consequence, Bousso–Hawking thermal radiation cannot be emitted in an anti-evaporating Nariai black hole. Possible implications in cosmology and black hole physics are also discussed.

scholarly journals Introducing the inverse hoop conjecture for black holes

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Shahar Hod
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Surface Area ◽  
Black Hole Horizon ◽  
De Sitter ◽  
Hoop Conjecture

AbstractIt is conjectured that stationary black holes are characterized by the inverse hoop relation $${\mathcal {A}}\le {\mathcal {C}}^2/\pi $$ A ≤ C 2 / π , where $${\mathcal {A}}$$ A and $${\mathcal {C}}$$ C are respectively the black-hole surface area and the circumference length of the smallest ring that can engulf the black-hole horizon in every direction. We explicitly prove that generic Kerr–Newman–(anti)-de Sitter black holes conform to this conjectured area-circumference relation.

scholarly journals Dark bubbles and black holes

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Souvik Banerjee ◽  
Ulf Danielsson ◽  
Suvendu Giri
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
De Sitter Space ◽  
Explicit Solutions ◽  
De Sitter ◽  
Four Dimensions ◽  
Rigid Shell

Abstract In this paper we study shells of matter and black holes on the expanding bubbles realizing de Sitter space, that were proposed in [4]. We construct explicit solutions for a rigid shell of matter as well as black hole like solutions. The latter of these can also be used to construct Randall-Sundrum braneworld black holes in four dimensions.

scholarly journals Phase transition and entropic force of de Sitter black hole in massive gravity

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Yubo Ma ◽  
Yang Zhang ◽  
Lichun Zhang ◽  
Liang Wu ◽  
Ying Gao ◽  
...  
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Massive Gravity ◽  
Space Time ◽  
Black Hole Horizon ◽  
Thermodynamic Quantities ◽  
Cosmological Horizon ◽  
Entropic Force ◽  
De Sitter

AbstractIt is well known that de Sitter(dS) black holes generally have a black hole horizon and a cosmological horizon, both of which have Hawking radiation. But the radiation temperature of the two horizons is generally different, so dS black holes do not meet the requirements of thermal equilibrium stability, which brings certain difficulties to the study of the thermodynamic characteristics of black holes. In this paper, dS black hole is regarded as a thermodynamic system, and the effective thermodynamic quantities of the system are obtained. The influence of various state parameters on the effective thermodynamic quantities in the massive gravity space-time is discussed. The condition of the phase transition of the de Sitter black hole in massive gravity space-time is given. We consider that the total entropy of the dS black hole is the sum of the corresponding entropy of the two horizons plus an extra term from the correlation of the two horizons. By comparing the entropic force of interaction between black hole horizon and the cosmological horizon with Lennard-Jones force between two particles, we find that the change rule of entropic force between the two system is surprisingly the same. The research will help us to explore the real reason of accelerating expansion of the universe.

scholarly journals Black hole emission of vector particles in (1+1) dimensions

2014 ◽  
Vol 29 (22) ◽  
pp. 1450118 ◽  
Author(s):  
S. I. Kruglov
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Event Horizon ◽  
Quantum Tunneling ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Proca Equation ◽  
Scalar Particles ◽  
Vector Particles

We investigate the radiation of spin-1 particles by black holes in (1+1) dimensions within the Proca equation. The process is considered as quantum tunneling of bosons through an event horizon. It is shown that the emission temperature for the Schwarzschild background geometry is the same as the Hawking temperature corresponding to scalar particles emission. We also obtain the radiation temperatures for the de Sitter, Rindler and Schwarzschild–de Sitter space–times. In a particular case when two horizons in Schwarzschild–de Sitter space–time coincides, the Nariai temperature is recovered. The thermodynamical entropy of a black hole is calculated for Schwarzschild–de Sitter space–time having two horizons.

scholarly journals PSEUDO-NEWTONIAN GRAVITATIONAL POTENTIAL FOR SCHWARZSCHILD–DE SITTER SPACE–TIMES

2008 ◽  
Vol 17 (11) ◽  
pp. 2089-2105 ◽  
Author(s):  
ZDENĚK STUCHLÍK ◽  
JIŘÍ KOVÁŘ
Keyword(s):  
Black Holes ◽  
Gravitational Field ◽  
Accretion Disks ◽  
Gravitational Potential ◽  
Test Particle ◽  
De Sitter Space ◽  
Spherically Symmetric ◽  
De Sitter ◽  
General Relativistic ◽  
The Universe

Pseudo-Newtonian gravitational potential describing the gravitational field of static and spherically symmetric black holes in the universe with a repulsive cosmological constant is introduced. In order to demonstrate the accuracy of the pseudo-Newtonian approach, the related effective potential for test particle motion is constructed and compared with its general-relativistic counterpart given by the Schwarzschild–de Sitter geometry. The results indicate that such an approach could be useful in applications of developed Newtonian theories of accretion disks in astrophysically interesting situations in large galactic structures for the Schwarzschild–de Sitter space–times with the cosmological parameter y = Λ M2/3 ≤ 10-6.

scholarly journals Thermodynamics of the Bardeen black hole in anti-de Sitter space

2019 ◽  
Vol 34 (40) ◽  
pp. 1950336
Author(s):  
Cong Li ◽  
Chao Fang ◽  
Miao He ◽  
Jiacheng Ding ◽  
Jianbo Deng
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Free Energy ◽  
Gibbs Free Energy ◽  
De Sitter Space ◽  
Capacity Analysis ◽  
De Sitter ◽  
Gas System ◽  
Minimal Radius

In this paper, we study thermodynamics of the regular black holes with Bardeen–AdS black hole. The cut-off radius which is the minimal radius of the stable Bardeen–AdS black hole has been obtained from temperature and heat capacity analysis, respectively. Moreover, the thermodynamical stability of the Bardeen–AdS black hole is learned by the Gibbs free energy and the heat capacity. In this work, we find similar properties to the van der Waals liquid-gas system.

scholarly journals Uncertainty principle for the entropy of black holes, de Sitter and Rindler spaces

2006 ◽  
Vol 2 (S238) ◽  
pp. 379-380
Author(s):  
Tetsuya Hara ◽  
Keita Sakai ◽  
Shuhei Kunitomo ◽  
Daigo Kajiura
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Surface Area ◽  
Uncertainty Principle ◽  
Boundary Surface ◽  
Higher Dimensions ◽  
De Sitter Space ◽  
De Sitter ◽  
Physical Consideration ◽  
Rindler Space

AbstractBy a simple physical consideration and uncertain principle, we derive that temperature is proportional to the surface gravity and entropy is proportional to the surface area of the black hole. We apply the same consideration to de Sitter space and estimate the temperature and entropy of the space, then we deduce that the entropy is proportional to the boundary surface area. By the sameconsideration, we estimate the temperature and entropy in the uniformly accelerated system (Rindler space). The cases in higher dimensions are considered.

Sign in / Sign up

Export Citation Format

Share Document