scholarly journals Bounding Horizon Area by Angular Momentum, Charge, and Cosmological Constant in 5-Dimensional Minimal Supergravity

2018 ◽  
Vol 20 (2) ◽  
pp. 481-525 ◽  
Author(s):  
Aghil Alaee ◽  
Marcus Khuri ◽  
Hari Kunduri
Keyword(s):  
Angular Momentum ◽  
Cosmological Constant ◽  
Horizon Area ◽  
Minimal Supergravity

BLACK HOLE QUANTIZATION, THERMODYNAMICS AND COSMOLOGICAL CONSTANT

2004 ◽  
Vol 13 (05) ◽  
pp. 885-898
Author(s):  
LI XIANG
Keyword(s):  
Black Hole ◽  
Cosmological Constant ◽  
Vacuum Energy ◽  
Planck Scale ◽  
Additional Term ◽  
Logarithmic Correction ◽  
De Sitter ◽  
Horizon Area ◽  
Constant Distance ◽  
The Universe

Bekenstein argues that the horizon area of a black hole has a constant distance spectrum. We investigate the effects of such a discrete spectrum on the thermodynamics of a Schwarzchild black hole (SBH) and a Schwarzchild–de Sitter black hole (SdBH), in terms of the time-energy uncertainty relation and Stefan–Boltzman law. For the massive SBH, a negative and logarithmic correction to the Bekenstein–Hawking entropy is obtained, as well as other authors by using other methods. As to the minimal hole near the Planck scale, its entropy is no longer proportional to the horizon area, but is of order of the mass of the hole. This is similar to an excited stringy state. The vanishing heat capacity of such a minimal black hole implies that it may be a remnant as the ground state of the evaporating hole. The properties of a SdBH are similar to the SBH, except for an additional term of square area associated with the cosmological constant. In order to maintain the validity of the Bekenstein–Hawking formula, the cosmological constant is strongly limited by the size of the biggest black hole in the universe. A relation associated with the cosmological constant, Planck area and the Stefan–Boltzman constant is obtained. The cosmological constant is not only related to the vacuum energy, but is also related to the thermodynamics.

AN IMPROVED MODEL FOR THE MULTIPLICITY FUNCTION

2005 ◽  
Vol 14 (10) ◽  
pp. 1779-1791
Author(s):  
ANTONINO DEL POPOLO
Keyword(s):  
Angular Momentum ◽  
Cosmological Constant ◽  
Total Angular Momentum ◽  
Theoretical Background ◽  
Multiplicity Function ◽  
Excursion Set ◽  
Improved Model ◽  
Function Models

I compare the numerical multiplicity function given in Ref. 35 with the theoretical multiplicity function obtained by means of the excursion set model and an improved version of the barrier shape obtained in Ref. 7, which implicitly takes account of total angular momentum acquired by the proto-structure during evolution and of a non-zero cosmological constant. I show that the multiplicity function obtained in the present paper is in better agreement with the simulations of Yahagi, Nagashima and Yoshii35 than other previous models16,29–31 and that unlike some previous multiplicity function models16,35 it was obtained from a sound theoretical background.

scholarly journals Mass and angular momentum of charged rotating Gödel black holes in five-dimensional minimal supergravity

2019 ◽  
Vol 34 (32) ◽  
pp. 1950217 ◽  
Author(s):  
Jun-Jin Peng
Keyword(s):  
Black Holes ◽  
Angular Momentum ◽  
Gauge Field ◽  
Minimal Supergravity ◽  
Matter Fields ◽  
Odd Dimensions

In this paper, for the sake of providing a concrete comparison between the usual Abbott–Deser–Tekin (ADT) formalism and its off-shell extension, as well as comparing the latter with the Barnich–Brandt–Compere (BBC) approach, we carry out these methods to compute the mass and angular momentum of the rotating charged Gödel black holes in five-dimensional minimal supergravity. We first present the off-shell ADT potential of the supergravity theories in arbitrary odd dimensions, which is consistent with the superpotential via the BBC approach. Then the off-shell generalized ADT method is applied to evaluate the mass and angular momentum of the Gödel-type black holes by including the contribution from the gauge field. Finally, we strictly obey the rules of the original ADT formalism to incorporate the contribution from the gauge field within the potential. With the help of the modified potential, we try to seek for appropriate reference backgrounds to produce the mass and angular momentum. It is observed that the ADT formalism has to incorporate the contribution from the matter fields to yield physical charges for the Gödel-type black holes.

scholarly journals Two-body problem in presence of cosmological constant

2019 ◽  
Vol 28 (12) ◽  
pp. 1950155
Author(s):  
G. S. Bisnovatyi-Kogan ◽  
M. Merafina
Keyword(s):  
Angular Momentum ◽  
Cosmological Constant ◽  
Body Problem ◽  
Local Group ◽  
Classical Case ◽  
Virgo Cluster ◽  
Body Motion ◽  
Critical Parameters ◽  
Two Body Problem ◽  
Qualitative Picture

We consider the Kepler two-body problem in presence of the cosmological constant [Formula: see text]. Contrary to the classical case, where finite solutions exist for any angular momentum of the system [Formula: see text], in presence of [Formula: see text] finite solutions exist only in the interval [Formula: see text]. The qualitative picture of the two-body motion is described, and critical parameters of the problem are found. Application is made to the relative motion of the Local Group and Virgo cluster.

scholarly journals Thermal fluctuations and correlations among hairs of a stable quantum black hole: Some examples

2018 ◽  
Vol 33 (33) ◽  
pp. 1850190 ◽  
Author(s):  
Aloke Kumar Sinha
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Angular Momentum ◽  
Electric Charge ◽  
Magnetic Charge ◽  
Thermal Fluctuations ◽  
Horizon Area ◽  
Dimensional Spacetime ◽  
Newman Black Hole ◽  
Area Limit

We have already derived the criteria for thermal stability of charged rotating quantum black holes, for horizon areas that are large relative to the Planck area. The derivation is done by using results of loop quantum gravity and equilibrium statistical mechanics of the grand canonical ensemble. We have also showed that in four-dimensional spacetime, quantum AdS Kerr–Newman black hole and asymptotically AdS dyonic black hole with electric and magnetic charge are thermally stable within certain range of its parameters. In this paper, the expectation values of fluctuations and correlations among horizon area, electric charge and angular momentum (magnetic charge) of these black holes are calculated within their range of stability. Interestingly, it is found that leading order fluctuations of electric charge and angular momentum (magnetic charge), in large horizon area limit, are independent of the values of electric charge and angular momentum (magnetic charge) at equilibrium.

scholarly journals ENTROPY OF EXTREMAL WARPED BLACK HOLES

2009 ◽  
Vol 24 (19) ◽  
pp. 1485-1493 ◽  
Author(s):  
YUN SOO MYUNG
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Angular Momentum ◽  
Cosmological Constant ◽  
Massive Gravity ◽  
Entropy Function ◽  
Function Approach ◽  
Negative Cosmological Constant ◽  
Topologically Massive Gravity ◽  
Cardy Formula

We study the entropy of extremal warped black hole obtained from the topologically massive gravity with a negative cosmological constant of Λ = -1/l2. We compare the entropy Se = πα/3G from the Wald formalism with Sw = πl u /3G from the entropy function approach. These are the same if α = l u. Also we obtain the same Cardy formula when Je = l3 q with Je the angular momentum and q the conserved quantity.

scholarly journals Horizon area–angular momentum inequality for a class of axially symmetric black holes

2011 ◽  
Vol 28 (10) ◽  
pp. 105014 ◽  
Author(s):  
Andrés Aceña ◽  
Sergio Dain ◽  
María E Gabach Clément
Keyword(s):  
Black Holes ◽  
Angular Momentum ◽  
Axially Symmetric ◽  
Horizon Area

scholarly journals MAGNETIC CHARGE, ANGULAR MOMENTUM AND NEGATIVE COSMOLOGICAL CONSTANT

2003 ◽  
Vol 18 (13) ◽  
pp. 2379-2393 ◽  
Author(s):  
J. J. VAN DER BIJ ◽  
EUGEN RADU
Keyword(s):  
Angular Momentum ◽  
Cosmological Constant ◽  
Electric Charge ◽  
Magnetic Charge ◽  
Flat Space ◽  
Space Time ◽  
Axially Symmetric ◽  
Yang Mills ◽  
Negative Cosmological Constant

We argue that there are no axially symmetric rotating monopole solutions for a Yang–Mills–Higgs theory in flat space–time background. We construct axially symmetric Yang–Mills–Higgs solutions in the presence of a negative cosmological constant, carrying magnetic charge n and a nonvanishing electric charge. However, these solution are also nonrotating.

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