scholarly journals Validity of Maxwell equal area law for black holes conformally coupled to scalar fields in $$\text {AdS}_5$$ AdS 5 spacetime

2017 ◽  
Vol 77 (6) ◽  
Author(s):  
Yan-Gang Miao ◽  
Zhen-Ming Xu
Keyword(s):  
Black Holes ◽  
Scalar Fields ◽  
Equal Area ◽  
Area Law

scholarly journals Maxwellʼs equal-area law for charged Anti-de Sitter black holes

2013 ◽  
Vol 723 (4-5) ◽  
pp. 436-441 ◽  
Author(s):  
Euro Spallucci ◽  
Anais Smailagic
Keyword(s):  
Black Holes ◽  
De Sitter ◽  
Equal Area ◽  
Area Law

scholarly journals Maxwell’s equal-area law for Gauss–Bonnet–Anti-de Sitter black holes

2015 ◽  
Vol 75 (2) ◽  
Author(s):  
A. Belhaj ◽  
M. Chabab ◽  
H. El moumni ◽  
K. Masmar ◽  
M. B. Sedra
Keyword(s):  
Black Holes ◽  
De Sitter ◽  
Equal Area ◽  
Area Law

scholarly journals Maxwell’s equal area law for Lovelock thermodynamics

2017 ◽  
Vol 26 (04) ◽  
pp. 1750037 ◽  
Author(s):  
Hao Xu ◽  
Zhen-Ming Xu
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Free Energy ◽  
Gibbs Free Energy ◽  
Third Order ◽  
Equal Area ◽  
Ads Black Holes ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Area Law

We present the construction of Maxwell’s equal area law for the Guass–Bonnet AdS black holes in [Formula: see text] and third-order Lovelock AdS black holes in [Formula: see text]. The equal area law can be used to find the number and location of the points of intersection in the plots of Gibbs free energy, so that we can get the thermodynamically preferred solution which corresponds to the first-order phase transition. We obtain the radius of the small and large black holes in the phase transition which share the same Gibbs free energy. The case with two critical points is explored in much more details. The latent heat is also studied.

The equal area law of asymptotically AdS black holes in extended phase space

2014 ◽  
Vol 352 (2) ◽  
pp. 763-768 ◽  
Author(s):  
Jun-Xin Zhao ◽  
Meng-Sen Ma ◽  
Li-Chun Zhang ◽  
Hui-Hua Zhao ◽  
Ren Zhao
Keyword(s):  
Black Holes ◽  
Phase Space ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Equal Area ◽  
Ads Black Holes ◽  
Area Law

scholarly journals Maxwell’s equal area law for black holes in power Maxwell invariant

2017 ◽  
Vol 49 (8) ◽  
Author(s):  
Huai-Fan Li ◽  
Xiong-ying Guo ◽  
Hui-Hua Zhao ◽  
Ren Zhao
Keyword(s):  
Black Holes ◽  
Equal Area ◽  
Area Law

scholarly journals Central charges for AdS black holes

2021 ◽  
Author(s):  
Malcolm Perry ◽  
Maria J Rodriguez
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Cosmological Constant ◽  
Central Charge ◽  
Negative Cosmological Constant ◽  
Ads Black Holes ◽  
Kerr Black Holes ◽  
Distinguishing Features ◽  
Area Law ◽  
Cardy Formula

Abstract Nontrivial diffeomorphisms act on the horizon of a generic 4D black holes and create distinguishing features referred to as soft hair. Amongst these are a left-right pair of Virasoro algebras with associated charges that reproduce the Bekenstein-Hawking entropy for Kerr black holes. In this paper we show that if one adds a negative cosmological constant, there is a similar set of infinitesimal diffeomorphisms that act non-trivially on the horizon. The algebra of these diffeomorphisms gives rise to a central charge. Adding a boundary counterterm, justified to achieve integrability, leads to well-defined central charges with cL = cR. The macroscopic area law for Kerr-AdS black holes follows from the assumption of a Cardy formula governing the black hole microstates.

scholarly journals On Mass Spectra of Primordial Black Holes

2021 ◽  
Vol 8 ◽  
Author(s):  
Alexander A. Kirillov ◽  
Sergey G. Rubin
Keyword(s):  
Black Holes ◽  
Mass Spectrum ◽  
Mass Spectra ◽  
Scalar Fields ◽  
Small Mass ◽  
Primordial Black Holes ◽  
Classical Motion ◽  
Multiple Production ◽  
Analytical Formulas ◽  
Intrinsic Feature

Evidence for the primordial black holes (PBH) presence in the early Universe renews permanently. New limits on their mass spectrum challenge existing models of PBH formation. One of the known models is based on the closed walls collapse after the inflationary epoch. Its intrinsic feature is the multiple production of small mass PBH which might contradict observations in the nearest future. We show that the mechanism of walls collapse can be applied to produce substantially different PBH mass spectra if one takes into account the classical motion of scalar fields together with their quantum fluctuations at the inflationary stage. Analytical formulas have been developed that contain both quantum and classical contributions.

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