scholarly journals SPECTROSCOPY AND THERMODYNAMICS OF MSW BLACK HOLE

2013 ◽  
Vol 28 (33) ◽  
pp. 1350149 ◽  
Author(s):  
SANEESH SEBASTIAN ◽  
V. C. KURIAKOSE
Keyword(s):  
Black Hole ◽  
Specific Heat ◽  
Adiabatic Invariant ◽  
Area Spectrum ◽  
Thermodynamic Quantities ◽  
Quantization Rule ◽  
Heat Temperature ◽  
Euclidean Time ◽  
Dimensional Black Hole

We study the thermodynamics and spectroscopy of a (2+1)-dimensional black hole proposed by Mandal et al.1 [Mod. Phys. Lett. A6, 1685 (1991)]. We put the background spacetime in Kruskal like co-ordinate and find period with respect to Euclidean time. Different thermodynamic quantities like entropy, specific heat, temperature etc. are obtained. The adiabatic invariant for the black hole is found and quantized using Bohr–Sommerfeld quantization rule. The study shows that the area spectrum of MSW black hole is equally spaced and the value of spacing is found to be ℏ.

scholarly journals THERMODYNAMICS AND SPECTROSCOPY OF SCHWARZSCHILD BLACK HOLE SURROUNDED BY QUINTESSENCE

2013 ◽  
Vol 28 (04) ◽  
pp. 1350003 ◽  
Author(s):  
R. THARANATH ◽  
V. C. KURIAKOSE
Keyword(s):  
Black Hole ◽  
State Parameter ◽  
Area Spectrum ◽  
Thermodynamic Quantities ◽  
Entropy Spectrum ◽  
Schwarzschild Black Hole ◽  
Quantization Rule ◽  
Euclidean Time ◽  
Special Cases ◽  
Spectroscopic Behavior

The thermodynamic and spectroscopic behavior of Schwarzschild black hole surrounded by quintessence are studied. We have derived the thermodynamic quantities and studied their behavior for different values of quintessence parameter. We put the background spacetime into the Kruskal-like coordinate to find the period with respect to Euclidean time. Also assuming that the adiabatic invariant obeys Bohr–Sommerfeld quantization rule, detailed study of area spectrum and entropy spectrum have been done for special cases of the quintessence state parameter. We find that the spectra are equally spaced.

scholarly journals Entropy Spectrum of a KS Black Hole in IR Modified Hořava-Lifshitz Gravity

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Shiwei Zhou ◽  
Ge-Rui Chen ◽  
Yong-Chang Huang
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Black Hole Entropy ◽  
Adiabatic Invariant ◽  
Area Spectrum ◽  
Entropy Spectrum ◽  
Quantization Rule ◽  
Adiabatic Invariant Quantity ◽  
Renormalizable Theory ◽  
Symmetric Black Hole

As a renormalizable theory of gravity, Hořava-Lifshitz gravity, might be an ultraviolet completion of general relativity and reduces to Einstein gravity with a nonvanishing cosmological constant in infrared. Kehagias and Sfetsos obtained a static spherically symmetric black hole solution called KS black hole in the IR modified Hořava-Lifshitz theory. In this paper, the entropy spectrum and area spectrum of a KS black hole are investigated based on the proposal of adiabatic invariant quantity. By calculating the action of producing a pair of particles near the horizon, it is obtained that the action of the system is exactly equivalent to the change of black hole entropy, which is an adiabatic invariant quantity. With the help of Bohr-Sommerfeld quantization rule, it is concluded that the entropy spectrum is discrete and equidistant spaced and the area spectrum is not equidistant spaced, which depends on the parameter of gravity theory. Some summary and discussion will be given in the last.

Entropy bound of horizons of some regular black holes

2020 ◽  
Vol 35 (10) ◽  
pp. 2050070
Author(s):  
Ujjal Debnath
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Specific Heat ◽  
Surface Area ◽  
Event Horizon ◽  
Specific Heat Capacity ◽  
Thermodynamic Quantities ◽  
Event Horizons ◽  
Regular Black Hole

We study the four-dimensional (i) modified Bardeen black hole, (ii) modified Hayward black hole, (iii) charged regular black hole and (iv) magnetically charged regular black hole. For modified Bardeen black hole and modified Hayward black hole, we found only one horizon (event horizon) and then we found some thermodynamic quantities like the entropy, surface area, irreducible mass, temperature, Komar energy and specific heat capacity on the event horizon. We here study the bounds of the above thermodynamic quantities for these black holes on the event horizon. Then, we examine the thermodynamics stability of the black holes with some conditions. Next, we studied the charged regular black hole and magnetically charged regular black hole and found two horizons (Cauchy and event horizons) of these black holes. Then, we found the entropy, surface area, irreducible mass, temperature, Komar energy and specific heat capacity on the Cauchy and event horizons. Then, we get some conditions for thermodynamic stability/instability of the black holes. We found the radius of the extremal horizon and Christodoulou–Ruffiini mass and then analyze the above thermodynamic quantities on the extremal horizon. We calculate the sum/subtraction, product, division and sum/subtraction of inverse of surface areas, entropies, irreducible masses, temperatures, Komar energies and specific heat capacities on both the horizons. From these, we found the bounds of the above quantities on the horizons.

PHASE TRANSITION, GEOMETROTHERMODYNAMICS AND CRITICAL EXPONENTS OF BARDEEN BLACK HOLE

2014 ◽  
Vol 23 (04) ◽  
pp. 1450040
Author(s):  
JIE-XIONG MO
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Specific Heat ◽  
Critical Exponents ◽  
Transition Point ◽  
Scaling Laws ◽  
Phase Transition Point ◽  
Invariant Metrics ◽  
Thermodynamic Quantities ◽  
Transition Structure

In this paper, we investigate the phase transition of Bardeen black hole for the first time. First, we calculate thermodynamic quantities and correct the misuse of formula in former literature. Second, we investigate in detail the behavior of specific heat. We not only discuss the influence of parameter on phase transition, but also show the three-dimensional behavior of the specific heat. It is shown that phase transition takes place from a locally unstable large black hole to a locally stable small black hole. It is also shown that the location of phase transition point is proportional to the charge. Meanwhile, we study the behavior of the inverse of the isothermal compressibility and find that it diverges at the phase transition point. Thirdly, we build up geometrothermodynamics to examine the phase transition structure. It is shown that Legendre invariant thermodynamic scalar curvature diverges exactly where the specific heat diverges, which leads to the conclusion that the Legendre invariant metrics can correctly produce the behavior of the phase transition structure. Furthermore, to gain a thorough understanding of critical behavior, we calculate the relevant critical exponents and examine the scaling laws. It is shown that they are in agreement with the scaling laws.

scholarly journals Quantum-Corrected Two-Dimensional Horava-Lifshitz Black Hole Entropy

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
M. A. Anacleto ◽  
D. Bazeia ◽  
F. A. Brito ◽  
J. C. Mota-Silva
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Specific Heat ◽  
Black Hole Entropy ◽  
Jacobi Method ◽  
Thermodynamic Quantities ◽  
Two Dimensional ◽  
Uncertainty Principles ◽  
Lifshitz Black Holes ◽  
Lifshitz Black Hole

We focus on the Hamilton-Jacobi method to determine several thermodynamic quantities such as temperature, entropy, and specific heat of two-dimensional Horava-Lifshitz black holes by using the generalized uncertainty principles (GUP). We also address the product of horizons, mainly concerning the event, Cauchy, and cosmological and virtual horizons.

scholarly journals AREA SPECTRUM OF BTZ BLACK HOLES FROM THE PERIODICITY IN EUCLIDEAN TIME

2012 ◽  
Vol 21 (08) ◽  
pp. 1250068 ◽  
Author(s):  
ALEXIS LARRAÑAGA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Angular Momentum ◽  
Three Dimensional ◽  
Outgoing Wave ◽  
Area Spectrum ◽  
Gravitational System ◽  
Euclidean Time ◽  
Rotating Black Holes ◽  
Area Spectra

In this paper, we analyze the area spectrum of BTZ three-dimensional black holes by considering an outgoing wave and relating its period of motion with the period of the gravitational system with respect to Euclidean time. The area spectra obtained for the rotating and non-rotating black holes are equally spaced and it is important to note that in this paper, we do not need to use the small angular momentum assumption which is necessary in the quasinormal mode approach for rotating black holes. The results suggest that the periodicity of the black hole gravitational system may be the origin of area quantization.

PHASE TRANSITION OF THE REISSNER-NORDSTROM BLACK HOLE

2020 ◽  
Vol 65 (6) ◽  
pp. 46-53
Author(s):  
Hoa Le Viet ◽  
Anh Nguyen Tuan ◽  
Hue Dang Thi Minh
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Transitions ◽  
Specific Heat ◽  
Gas Phase ◽  
Critical Value ◽  
Thermodynamic Quantities ◽  
Spatial Curvature ◽  
Isobaric Specific Heat ◽  
Analytic Expressions

The phase transition of matter outside the four-dimensional Reissner-Nordstr¨om charged black hole have been investigated. Based on the metric we have found analytic expressions for thermodynamic quantities as temperature, pressure and isobaric specific heat. The numerical results have shown that for temperatures T less than the critical value Tc there exits a ”liquid-gas” phase transition similar to the Van der Waals fluid. In addition, also pointed out that both temperature and spatial curvature affect phase transitions, but phase transitions are always the first oder.

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