scholarly journals Solenoid Configurations and Gravitational Free Energy of the AdS–Melvin Spacetime

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1477
Author(s):  
Yen-Kheng Lim
Keyword(s):  
Free Energy ◽  
Scalar Field ◽  
Surface Current ◽  
De Sitter ◽  
Charged Scalar ◽  
Ads Spacetime ◽  
Euclidean Action ◽  
Charged Scalar Field ◽  
The Stability

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.

scholarly journals AMPLITUDE OF COULOMB SCATTERING FOR CHARGED SCALAR FIELD IN DE SITTER SPACETIME

2010 ◽  
Vol 25 (20) ◽  
pp. 1679-1687 ◽  
Author(s):  
COSMIN CRUCEAN
Keyword(s):  
Scalar Field ◽  
Gordon Equation ◽  
Coulomb Scattering ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Scattering Process ◽  
Charged Scalar ◽  
Sitter Spacetime ◽  
Klein Gordon ◽  
Charged Scalar Field

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.

scholarly journals CFT dual of charged AdS black hole in the large dimension limit

2016 ◽  
Vol 25 (07) ◽  
pp. 1650085 ◽  
Author(s):  
Er-Dong Guo ◽  
Miao Li ◽  
Jia-Rui Sun
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Cross Sections ◽  
Central Charge ◽  
Conformal Symmetry ◽  
Large Dimension ◽  
Absorption Cross ◽  
De Sitter ◽  
Charged Scalar ◽  
Charged Scalar Field

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.

scholarly journals Interaction between Maxwell field and charged scalar field in de Sitter universe

2015 ◽  
Vol 30 (16) ◽  
pp. 1550088 ◽  
Author(s):  
Cosmin Crucean ◽  
Mihaela-Andreea Băloi
Keyword(s):  
Scalar Field ◽  
Particle Production ◽  
Perturbation Expansion ◽  
Maxwell Field ◽  
De Sitter ◽  
Charged Scalar ◽  
Gravitational Fields ◽  
Sitter Background ◽  
Charged Scalar Field ◽  
De Sitter Universe

We study the theory of interaction between charged scalar field and Maxwell field in de Sitter background. Solving the equation of interacting fields, we define the in–out fields as asymptotic free fields and construct the reduction formalism for scalar field. Then we derive the perturbation expansion of the scattering operator. The first-order transition amplitudes corresponding to particle production from de Sitter vacuum and pair production in an external field are analyzed. We show that all these effects are important only in strong gravitational fields and vanish in the flat limit.

Vacuum densities for a charged scalar field in de Sitter space-time with compact dimensions

2016 ◽  
Vol 22 (2) ◽  
pp. 187-192 ◽  
Author(s):  
E. V. Chubaryan ◽  
A. S. Kotanjyan ◽  
A. A. Saharian ◽  
D. H. Simonyan
Keyword(s):  
Scalar Field ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Charged Scalar ◽  
Charged Scalar Field
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