Thermodynamics and quantum tunneling of Reissner–Nordström black holes with deficit solid angle and quintessence

2019 ◽  
Vol 34 (32) ◽  
pp. 1950211 ◽  
Author(s):  
A. S. M. Moinuddin ◽  
M. Hossain Ali
Keyword(s):  
Heat Capacity ◽  
Black Hole ◽  
Quantum Tunneling ◽  
Solid Angle ◽  
Black Hole Entropy ◽  
Entropy Change ◽  
Boltzmann Factor ◽  
Black Hole Background ◽  
Temperature Heat ◽  
Thermodynamical Laws

We study thermodynamics and quantum tunneling of the Reissner–Nordström black hole with deficit solid angle and quintessence. We employ black hole thermodynamical laws and Parikh–Wilczek’s semiclassical tunneling process to obtain expressions of some thermodynamics quantities, Boltzmann factor, and entropy variation of the black hole. Regarding black hole background as dynamical and using conservation laws for energy and charge, we detect the existence of unthermal radiation spectrum and dependence of Boltzmann factor on the background geometry, and on energy and charge of the radiant particle. We explicitly plot variations of temperature, heat capacity, Boltzmann factor, and entropy change for various values of deficit solid angle [Formula: see text] and quintessence density [Formula: see text]. When varying the black hole entropy, there exists a phase transition, which shifts to lower entropy for increasing [Formula: see text] and decreasing [Formula: see text]. We show that temperature, heat capacity, and quantum tunneling rate are decreased in presence of quintessence and deficit angle parameters.

scholarly journals THERMODYNAMICAL LAWS IN HOŘAVA–LIFSHITZ GRAVITY

2011 ◽  
Vol 20 (07) ◽  
pp. 1191-1204 ◽  
Author(s):  
SAMARPITA BHATTACHARYA ◽  
UJJAL DEBNATH
Keyword(s):  
Black Hole ◽  
Dark Energy ◽  
Black Hole Entropy ◽  
Gravity Theory ◽  
Robust Approach ◽  
Barotropic Fluid ◽  
Extra Information ◽  
Thermodynamical Laws ◽  
The Universe

In this work, we investigate the validity of the GSL of thermodynamics in the universe (open, closed and flat) governed by Hořava–Lifshitz (HL) gravity. If the universe contains barotropic fluid, we obtain the corresponding solutions. The validity of the GSL is examined by two approaches: (i) the robust approach and (ii) the effective approach. In the robust approach, we consider that the universe contains only matter fluid. Also, the effect of the gravitational sector of HL gravity is incorporated through the modified black hole entropy on the horizon. The effective approach is that all extra information of HL gravity is cast into an effective dark energy fluid, and so we consider that the universe contains matter fluid plus this effective fluid. This approach is essentially the same as Einstein's gravity theory. The general prescription for the validity of the GSL is discussed. Graphically, we show that the GSL may be satisfied for the open, closed and flat universes on the different horizons with different conditions.

scholarly journals Charged vector particles tunneling from black ring and 5D black hole

2019 ◽  
Vol 97 (2) ◽  
pp. 176-186 ◽  
Author(s):  
Wajiha Javed ◽  
Riasat Ali ◽  
G. Abbas
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Tunneling ◽  
W Bosons ◽  
Black Ring ◽  
Boltzmann Factor ◽  
Radiation Process ◽  
Tunneling Phenomenon ◽  
Vector Particles ◽  
Electromagnetic Vector Potential

In this paper, we have investigated the Hawking radiation process as a semiclassical quantum tunneling phenomenon from black ring and 5D Myers–Perry black holes. Using Lagrangian of Glashow–Weinberg–Salam model with background electromagnetic field (for charged W-bosons) and the Wentzel–Kramers–Brillouin approximation, we have evaluated the tunneling rate or probability of charged vector particles at through the horizons by taking into account the electromagnetic vector potential. Moreover, we have calculated the corresponding Hawking temperature via Boltzmann factor for both types of considered background and analyzed the whole spectrum generally.

scholarly journals Высокотемпературная теплоемкость апатитов Pb-=SUB=-10-x-=/SUB=-Nd-=SUB=-x-=/SUB=-(GeO-=SUB=-4-=/SUB=-)-=SUB=-2+x-=/SUB=-(VO)-=SUB=-4-x-=/SUB=- (x=0-3)

2019 ◽  
Vol 61 (7) ◽  
pp. 1397
Author(s):  
Л.Т. Денисова ◽  
Е.О. Голубева ◽  
H.В. Белоусова ◽  
В.М. Денисов ◽  
Н.А. Галиахметова
Keyword(s):  
Differential Scanning Calorimetry ◽  
Heat Capacity ◽  
High Temperature ◽  
Solid State ◽  
Gibbs Energy ◽  
Entropy Change ◽  
Apatite Structure ◽  
Scanning Calorimetry ◽  
High Temperature Heat Capacity ◽  
Temperature Heat

The Pb10-xNdx(GeO4)2+x(VO4)4-x (x = 0 ‒ 3) compounds with the apatite structure have been synthesized from PbO, Nd2O3, GeO2 and V2O5 oxides by the solid-state synthesis with successive burning in air within 773-1073 K. The high-temperature heat capacity of the compounds obtained was determined by differential scanning calorimetry. The CP = f(T) data have been used to evaluate their thermodynamic properties (enthalpy increment, entropy change, and reduced Gibbs energy).

scholarly journals BPS black hole entropy and attractors in very special geometry. Cubic forms, gradient maps and their inversion

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Bert van Geemen ◽  
Alessio Marrani ◽  
Francesco Russo
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Inhomogeneous System ◽  
Homogeneous Polynomials ◽  
Quadratic Equations ◽  
Cubic Form ◽  
Black Hole Background ◽  
Cubic Forms ◽  
First Time

Abstract We consider Bekenstein-Hawking entropy and attractors in extremal BPS black holes of $$ \mathcal{N} $$ N = 2, D = 4 ungauged supergravity obtained as reduction of minimal, matter-coupled D = 5 supergravity. They are generally expressed in terms of solutions to an inhomogeneous system of coupled quadratic equations, named BPS system, depending on the cubic prepotential as well as on the electric-magnetic fluxes in the extremal black hole background. Focussing on homogeneous non-symmetric scalar manifolds (whose classification is known in terms of L(q, P, Ṗ) models), under certain assumptions on the Clifford matrices pertaining to the related cubic prepotential, we formulate and prove an invertibility condition for the gradient map of the corresponding cubic form (to have a birational inverse map which is given by homogeneous polynomials of degree four), and therefore for the solutions to the BPS system to be explicitly determined, in turn providing novel, explicit expressions for the BPS black hole entropy and the related attractors as solution of the BPS attractor equations. After a general treatment, we present a number of explicit examples with Ṗ = 0, such as L(q, P), 1 ⩽ q ⩽ 3 and P ⩾ 1, or L(q, 1), 4 ⩽ q ⩽ 9, and one model with Ṗ = 1, namely L(4, 1, 1). We also briefly comment on Kleinian signatures and split algebras. In particular, we provide, for the first time, the explicit form of the BPS black hole entropy and of the related BPS attractors for the infinite class of L(1, P) P ⩾ 2 non-symmetric models of $$ \mathcal{N} $$ N = 2, D = 4 supergravity.

Dynamics and magnetic properties of NO molecules encapsulated in open-cage fullerene derivatives evidenced by low temperature heat capacity

2021 ◽  
Author(s):  
Yoji Horii ◽  
Hal Suzuki ◽  
Yuji Miyazaki ◽  
Motohiro Nakano ◽  
Shota Hasegawa ◽  
...  
Keyword(s):  
Heat Capacity ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Magnetic Anisotropy ◽  
Fullerene Derivatives ◽  
Molecular Cages ◽  
Temperature Heat ◽  
Low Temperature Heat Capacity

Heat capacity analyses revealed dynamics and magnetic anisotropy of NO molecules confined in molecular cages.

Heat Capacity Anomalies Induced by Magnetization Quantum Tunneling in a Mn12O12-Acetate Single Crystal

1997 ◽  
Vol 79 (6) ◽  
pp. 1126-1129 ◽  
Author(s):  
F. Fominaya ◽  
J. Villain ◽  
P. Gandit ◽  
J. Chaussy ◽  
A. Caneschi
Keyword(s):  
Heat Capacity ◽  
Single Crystal ◽  
Quantum Tunneling

scholarly journals Black hole S-matrix for a scalar field

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Panos Betzios ◽  
Nava Gaddam ◽  
Olga Papadoulaki
Keyword(s):  
Black Hole ◽  
Normal Modes ◽  
Massless Scalar ◽  
Scattering Process ◽  
Schwarzschild Black Hole ◽  
Asymptotically Flat ◽  
Scalar Particles ◽  
Black Hole Background ◽  
S Matrix ◽  
Do So

Abstract We describe a unitary scattering process, as observed from spatial infinity, of massless scalar particles on an asymptotically flat Schwarzschild black hole background. In order to do so, we split the problem in two different regimes governing the dynamics of the scattering process. The first describes the evolution of the modes in the region away from the horizon and can be analysed in terms of the effective Regge-Wheeler potential. In the near horizon region, where the Regge-Wheeler potential becomes insignificant, the WKB geometric optics approximation of Hawking’s is replaced by the near-horizon gravitational scattering matrix that captures non-perturbative soft graviton exchanges near the horizon. We perform an appropriate matching for the scattering solutions of these two dynamical problems and compute the resulting Bogoliubov relations, that combines both dynamics. This allows us to formulate an S-matrix for the scattering process that is manifestly unitary. We discuss the analogue of the (quasi)-normal modes in this setup and the emergence of gravitational echoes that follow an original burst of radiation as the excited black hole relaxes to equilibrium.

scholarly journals Reply to Pessoa, P.; Arderucio Costa, B., Comment on “Tsallis, C. Black Hole Entropy: A Closer Look. Entropy 2020, 22, 17”

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 630
Author(s):  
Constantino Tsallis
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Recent Comment

In the present Reply we restrict our focus only onto the main erroneous claims by Pessoa and Costa in their recent Comment (Entropy 2020, 22, 1110).

scholarly journals Area Entropy and Quantized Mass of Black Holes from Information Theory

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 858
Author(s):  
Dongshan He ◽  
Qingyu Cai
Keyword(s):  
Information Theory ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Compton Wavelength ◽  
Information Theoretic ◽  
Curved Space ◽  
Thermodynamic Entropy ◽  
Hole Area ◽  
The Relationship

In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein–Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy.

scholarly journals Normal-mode analysis for scalar fields in BTZ black-hole background

2009 ◽  
Vol 60 (2) ◽  
pp. 169-173 ◽  
Author(s):  
Sayan K. Chakrabarti ◽  
Pulak Ranjan Giri ◽  
Kumar S. Gupta
Keyword(s):  
Black Hole ◽  
Normal Mode ◽  
Normal Mode Analysis ◽  
Scalar Fields ◽  
Mode Analysis ◽  
Btz Black Hole ◽  
Black Hole Background
Sign in / Sign up

Export Citation Format

Share Document