Thick brane in 7D and 8D spacetimes

Abstract

We consider a thick brane model supported by two interacting scalar fields in 7D and 8D general relativity. Using the special type of a potential energy, we obtain numerically the regular asymptotically flat vacuum solutions. A possibility of obtaining the similar solutions for an arbitrary number of the extra spatial dimensions is estimated.

Scalar-kinetic branes

“…Symmetric and asymmetric single or multiple branes were investigated in [17][18][19][20][21]. Some physicists prefer to consider this scenario in higher dimension and multi-scalar, gauge field or vertex backgrounds as shown in [22][23][24][25][26]. Some other recent works concerned the field localization and resonances on deformed branes [27,28], and on spectra of field fluctuations in braneworld models with broken bulk Lorentz invariance [29].…”

Wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole

“…where µ is the mass of the scalar field and κ is the coupling constant. In general, the presence of the phantom scalar field will change the structure of the black hole spacetime [26]. Here we just treat it as an external perturbation and suppose it does not affect the metric of the background.…”

Introduction to Extra Dimensions and Thick Braneworlds

“…In literature, most five-dimensional thick branes are generated by one or more scalar fields with kink-like and/or bump-like configurations [55][56][57][58][59][60][61][62][63][64], but a few brane models are based on vector fields or spinor fields [65][66][67]. Higher-dimensional thick branes were also considered [68,69]. They are smooth generalizations of the RS-2 model.…”

“…In this subsection, we consider thick brane models in the Palatini f (R) theory. The action is given by 68) and the metric is also described by (3.44). Variation with respect to the metric g and the connection Γ yields two equations of motion:…”