scholarly journals Smooth braneworld in 6-dimensional asymptotically AdS spacetime

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Jun-Jie Wan ◽  
Zheng-Quan Cui ◽  
Wen-Bin Feng ◽  
Yu-Xiao Liu
Keyword(s):  
Scalar Field ◽  
Gauge Field ◽  
Extra Dimension ◽  
Real Scalar ◽  
Ads Spacetime ◽  
Braneworld Model ◽  
The Stability

Abstract In this paper, we investigate a six-dimensional smooth thick braneworld model which contains a compact extra dimension and an infinite large one. The braneworld is generated by a real scalar field with a ϕ6 potential and the bulk is an asymptotically AdS6 spacetime. The geometry achieves the localization of the free U(1) gauge field, which is a problem in five-dimensional Randall-Sundrum-like models. In addition, we analyze the stability of the braneworld system and the localization of the graviton.

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 Thick branes in the scalar–tensor representation of f(R, T) gravity

2021 ◽  
Vol 81 (11) ◽  
Author(s):  
João Luís Rosa ◽  
Matheus A. Marques ◽  
Dionisio Bazeia ◽  
Francisco S. N. Lobo
Keyword(s):  
Scalar Field ◽  
Matter Field ◽  
Energy Tensor ◽  
Tensor Representation ◽  
Observable Universe ◽  
Brane Model ◽  
Gravitational Fields ◽  
Stress Energy ◽  
Tensor Representations ◽  
The Stability

AbstractBraneworld scenarios consider our observable universe as a brane embedded in a five-dimensional bulk. In this work, we consider thick braneworld systems in the recently proposed dynamically equivalent scalar–tensor representation of f(R, T) gravity, where R is the Ricci scalar and T the trace of the stress–energy tensor. In the general $$f\left( R,T\right) $$ f R , T case we consider two different models: a brane model without matter fields where the geometry is supported solely by the gravitational fields, and a second model where matter is described by a scalar field with a potential. The particular cases for which the function $$f\left( R,T\right) $$ f R , T is separable in the forms $$F\left( R\right) +T$$ F R + T and $$R+G\left( T\right) $$ R + G T , which give rise to scalar–tensor representations with a single auxiliary scalar field, are studied separately. The stability of the gravitational sector is investigated and the models are shown to be stable against small perturbations of the metric. Furthermore, we show that in the $$f\left( R,T\right) $$ f R , T model in the presence of an extra matter field, the shape of the graviton zero-mode develops internal structure under appropriate choices of the parameters of the model.

Sign in / Sign up

Export Citation Format

Share Document