Scalar-kinetic branes

Abstract

This work tries to find out thick brane solutions in braneworld scenarios described by a real scalar field in the presence of a scalar-kinetic term F (X, φ) = Xφ m with a single extra dimension, where X = 1 2 ∇M φ∇ M φ stands for the standard kinetic term and m = 0, 1, 2 · · · . We mainly consider bent branes, namely de Sitter and Anti-de Sitter four-dimensional slices. The solutions of a flat brane are obtained when taking the four-dimensional cosmological constant Λ4 → 0. When the parameter m = 0, these solutions turn to those of the standard scenario. The localization and spectrum of graviton on these branes are also analyzed.

Supersymmetrickfield theories and defect structures

“…. The cancellation of the mixed terms ð@ @ Þ i F 2j may again be achieved by calculating the sum analogous to (17) provided all the ðk;nÞ in the sum are equal. Linear combinations of these Lagrangians are therefore…”

“…These so-called k field theories have been increasing in importance during the last years, beginning with the observation about a decade ago that they might be relevant for the solution of some problems in cosmology, like k-inflation [10] and k-essence [11]. k field theories have found their applications in cosmology [12][13][14][15][16][17][18], and they introduce some qualitatively new phenomena, like the formation of solitons with compact support, so-called compactons [19][20][21][22][23][24][25][26][27][28].…”

Thick branes with inner structure in mimetic gravity

“…It is necessary to investigate thick brane in this theory. In the thick brane world scenario, the brane can be a domain wall generated by a background scalar field [37][38][39][53][54][55][56][57][58] or by pure geometry in a co-dimension one space-time [59][60][61][62][63]. On the other hand, it is shown that in some cases thick branes may have inner structure, which may lead to new phenomenon in the resonance and the localization of gravity and matter fields [64][65][66][67][68][69].…”

Supergravity-induced interactions on thick branes

“…We should also remark that similar analysis can also be extended for generalized scalar and gravity dynamics [54,57]. Finally apart from the specific directions we have mentioned above the results of this work can find extensions in various aspects of thick brane dynamics including search for particular solutions and probing phenomenology of localized gravity, gauge and matter fields in various geometries [20,58,59,60,61,62,63,64,65].…”