Novel modified gravity braneworld configurations with a Lagrange multiplier

In this work we deal with thick brane solutions in the warped five-dimensional braneworld scenario a single extra spatial dimension of infinite extent, for class modified theories gravity Lagrange multiplier. We first present action, describe and field equations, outline strategy to find explicit explore stability gravitational sector. The investigation deals mainly construction order framework capable using scalar simulate warp functions that appear two-field models. particular, specific symmetric asymmetric configurations engender asymptotic profiles anti-de Sitter geometries. Thus, including multiplier unveils an alternative approach induce structure field, tracing out new avenues research scenarios, naturally leading interesting results localization matter fields brane.