scholarly journals Phase Transition and Entropy Force between Two Horizons in (n+2)-Dimensional de Sitter Space

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Yang Zhang ◽  
Wen-qi Wang ◽  
Yu-bo Ma ◽  
Jun Wang
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Physical Mechanism ◽  
De Sitter Space ◽  
Space Time ◽  
Thermodynamic Quantities ◽  
De Sitter ◽  
Time Dimension ◽  
Cosmic Expansion

In this paper, the effect of the space-time dimension on effective thermodynamic quantities in (n+2)-dimensional Reissner-Nordstrom-de Sitter space has been studied. Based on derived effective thermodynamic quantities, conditions for the phase transition are obtained. The result shows that the accelerating cosmic expansion can be attained by the entropy force arisen from the interaction between horizons of black holes and our universe, which provides a possible way to explain the physical mechanism for the accelerating cosmic expansion.

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.

Quantum gravity effects on thermodynamics of de Sitter black holes in massive gravity

2020 ◽  
Vol 35 (19) ◽  
pp. 2050090 ◽  
Author(s):  
Yawar H. Khan ◽  
Prince A. Ganai
Keyword(s):  
Black Holes ◽  
Free Energy ◽  
Quantum Gravity ◽  
De Sitter Space ◽  
Thermodynamic System ◽  
Massive Gravity ◽  
Space Time ◽  
Thermodynamic Quantities ◽  
De Sitter ◽  
Gravity Effects

Taking de Sitter space–time as a thermodynamic system, we study the effects of quantum gravity on thermodynamic quantities of de Sitter black holes in massive gravity. We enumerate the leading order corrections arising in quantum gravity regime on various thermodynamic quantities like Helmholtz free energy, Gibbs free energy, specific heat and pressure. Our results show that quantum corrections have tendency to induce stability. Moreover we observe that the parameters from the massive gravity have deeper effect on the evolution of de Sitter space–time in quantum gravity regime. Such an analysis could be helpful in understanding inflation and evolution of universe at early times.

scholarly journals Thermodynamic properties of black holes in de Sitter space

2016 ◽  
Vol 32 (02) ◽  
pp. 1750017 ◽  
Author(s):  
Huai-Fan Li ◽  
Meng-Sen Ma ◽  
Ya-Qin Ma
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Thermodynamic Properties ◽  
Thermodynamic Quantities ◽  
De Sitter ◽  
First Law Of Thermodynamics ◽  
Effective Temperatures ◽  
Sds Black Hole

We study the thermodynamic properties of Schwarzschild–de Sitter (SdS) black hole and Reissner–Nordström–de Sitter (RNdS) black hole in view of global and effective thermodynamic quantities. Making use of the effective first law of thermodynamics, we can derive the effective thermodynamic quantities of de Sitter black holes. It is found that these effective thermodynamic quantities also satisfy Smarr-like formula. Especially, the effective temperatures are nonzero in the Nariai limit. By calculating heat capacity and Gibbs free energy, we find SdS black hole is always thermodynamically stable and RNdS black hole may undergoes phase transition at some points.

THERMODYNAMICS OF de SITTER SPACE–TIME IN YORK'S FORMALISM

2001 ◽  
Vol 16 (23) ◽  
pp. 1487-1492 ◽  
Author(s):  
BO-BO WANG ◽  
CHAO-GUANG HUANG
Keyword(s):  
Black Holes ◽  
Cosmological Constant ◽  
Path Integral ◽  
De Sitter Space ◽  
Space Time ◽  
Integral Approach ◽  
De Sitter ◽  
First Law Of Thermodynamics ◽  
Path Integral Approach ◽  
Thermodynamics Of Black Holes

The York's formalism of path-integral approach to the thermodynamics of black holes is applied to de Sitter space–time. The first law of thermodynamics for de Sitter space–time is given, which includes a "work term" with respect to the cosmological constant.

scholarly journals CURVATURE-INDUCED PHASE TRANSITION IN A FOUR-FERMION THEORY USING THE WEAK CURVATURE EXPANSION

1996 ◽  
Vol 11 (25) ◽  
pp. 4561-4576 ◽  
Author(s):  
TOMOHIRO INAGAKI
Keyword(s):  
Phase Transition ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Positive Curvature ◽  
Expansion Method ◽  
Space Time ◽  
Fermion Mass ◽  
De Sitter ◽  
Time Dimension ◽  
Arbitrary Space

Curvature–induced phase transition is thoroughly investigated in a four-fermion theory with N components of fermions for arbitrary space–time dimensions (2≤D<4). We adopt the 1/N expansion method and calculate the effective potential for a composite operator [Formula: see text]. The resulting effective potential is expanded asymptotically in terms of the space–time curvature R by using the Riemann normal coordinate. We assume that the space–time curves slowly, and we keep only terms independent of R and terms linear in R. In evaluating the effective potential it is found that first order phase transition is caused and the broken chiral symmetry is restored for a large positive curvature. In the space–time with a negative curvature the chiral symmetry is broken down even if the coupling constant of the four-fermion interaction is sufficiently small. We present the behavior of the dynamically generated fermion mass. The critical curvature, R cr , which divides the symmetric and asymmetric phases, is obtained analytically as a function of the space–time dimension D. At the four-dimensional limit our result R cr agrees with the exact results known in de Sitter space and the Einstein universe.

scholarly journals Superconducting and Antiferromagnetic Phases of Space-Time

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Deepak Vaid
Keyword(s):  
Black Holes ◽  
Symmetry Breaking ◽  
Gauge Field ◽  
De Sitter Space ◽  
Space Time ◽  
Order Parameters ◽  
De Sitter ◽  
Preliminary Identification ◽  
Rotating Black Holes ◽  
Gauge Connection

A correspondence between the SO5 theory of high-TC superconductivity and antiferromagnetism, put forward by Zhang and collaborators, and a theory of gravity arising from symmetry breaking of a SO5 gauge field is presented. A physical correspondence between the order parameters of the unified SC/AF theory and the generators of the gravitational gauge connection is conjectured. A preliminary identification of regions of geometry, in solutions of Einstein’s equations describing charged-rotating black holes embedded in de Sitter space-time, with SC and AF phases is carried out.

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.

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