Brane structure from a scalar field in warped spacetime

Abstract

We deal with scalar field coupled to gravity in five dimensions in warped geometry. We investigate models described by potentials that drive the system to support thick brane solutions that engender internal structure. We find analytical expressions for the brane solutions, and we show that they are all linearly stable.

Bloch Brane

“…However, when r reaches the interval r * c > r > 0, the minimum at y = 0 splits into two separate minima, indicating the appearence of internal structure. We make this point clearer with the help of our former work on brane structure [15], from which we very naturally realise that the behavior of the volcano potential as r diminishes signals for the opening of an internal structure for the Bloch brane.…”

“…For this reason, in the present work we return to the issue concerning thick branes that engender internal structure in models which support conventional self-interactions. As one knows [31], the presence of intricate self-interactions in general responds to thicken the brane [9,15]. Thus, in the present work we offer a way to trade the intricate self-interactions contained in the above model (1.3), to a more conventional model described by two real scalar fields, with the potential defined by Eqs.…”

“…We focus mainly on generation of thick branes, their stability and internal structure, and our investigations follow several recent works on the subject [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15].…”

“…In particular, in Ref. [15] we have used a model described by a single real scalar field to offer a scenario where the brane engenders internal structure. The model used in [15] was first introduced in Ref.…”

“…[15] we have used a model described by a single real scalar field to offer a scenario where the brane engenders internal structure. The model used in [15] was first introduced in Ref. [30], and it depends on a real parameter, which generalizes the standard φ 4 model, changing the way the scalar field self-interacts.…”