Superradiance and dynamical evolution of a charged scalar field in an asymptotically anti–de-Sitter dilatonic black hole

2019 ◽  
Vol 99 (8) ◽  
Author(s):  
Ran Li ◽  
Yujia Zhao ◽  
Tieguang Zi ◽  
Xingliang Chen
2016 ◽  
Vol 25 (07) ◽  
pp. 1650085 ◽  
Author(s):  
Er-Dong Guo ◽  
Miao Li ◽  
Jia-Rui Sun

We study the dual CFT description of the [Formula: see text]-dimensional Reissner–Nordström-Anti de Sitter (RN-AdS[Formula: see text]) black hole in the large dimension (large [Formula: see text]) limit, both for the extremal and nonextremal cases. The central charge of the dual CFT2 (or chiral CFT1) is calculated for the near-horizon near extremal geometry which possesses an AdS2 structure. Besides, the [Formula: see text]-picture hidden conformal symmetry in the nonextremal background can be naturally obtained by a probe charged scalar field in the large [Formula: see text] limit, without the need to input the usual limits to probe the hidden conformal symmetry. Furthermore, a new dual CFT description of the nonextremal RN-AdS[Formula: see text] black hole is found in the large [Formula: see text] limit and the duality is analyzed by comparing the entropies, the absorption cross-sections and the retarded Green’s functions obtained both from the gravity and the dual CFT sides.


2009 ◽  
Vol 18 (01) ◽  
pp. 1-11 ◽  
Author(s):  
R. SINI ◽  
V. C. KURIAKOSE

The behavior of a charged scalar field in the RN black hole space–time is studied using the WKB approximation. In the present work, it is assumed that matter waves can be reflected from the event horizon. Using this effect, the Hawking temperature and the absorption cross section for an RN black hole placed in a charged scalar field are calculated. The absorption cross section σabs is found to be inversely proportional to the square of the Hawking temperature of the black hole.


2010 ◽  
Vol 25 (20) ◽  
pp. 1679-1687 ◽  
Author(s):  
COSMIN CRUCEAN

The scattering of a charged scalar field on Coulomb potential is studied using solutions of the Klein–Gordon equation which have a definite momentum. One obtains that the modulus of momentum is not conserved in the scattering process on de Sitter space.


2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Oscar J. C. Dias ◽  
Ramon Masachs ◽  
Paul Rodgers

Abstract We consider the static charged black hole bomb system, originally designed for a (uncharged) rotating superradiant system by Press and Teukolsky. A charged scalar field confined in a Minkowski cavity with a Maxwell gauge field has a quantized spectrum of normal modes that can fit inside the box. Back-reacting non-linearly these normal modes, we find the hairy solitons, a.k.a boson stars (depending on the chosen U(1) gauge), of the theory. The scalar condensate is totally confined inside the box and, outside it, we have the Reissner-Nordström solution. The Israel junction conditions at the box surface layer determine the stress tensor that the box must have to confine the scalar hair. Some of these horizonless hairy solutions exist for any value of the scalar field charge and not only above the natural critical charges of the theory (namely, the critical charges for the onset of the near-horizon and superradiant instabilities of the Reissner-Nordström black hole). However, the ground state solutions have a non-trivial intricate phase diagram with a main and a secondary family of solitons (some with a Chandrasekhar mass limit but others without) and there are a third and a fourth critical scalar field charges where the soliton spectra changes radically. Most of these intricate properties are not captured by a higher order perturbative analysis of the problem where we simply back-react a normal mode of the system.


Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1477
Author(s):  
Yen-Kheng Lim

In this paper we explore a solenoid configuration involving a magnetic universe solution embedded in an empty Anti-de Sitter (AdS) spacetime. This requires a non-trivial surface current at the interface between the two spacetimes, which can be provided by a charged scalar field. When the interface is taken to the AdS boundary, we recover the full AdS–Melvin spacetime. The stability of the AdS–Melvin solution is also studied by computing the gravitational free energy from the Euclidean action.


Sign in / Sign up

Export Citation Format

Share Document