First order formalism for thick branes in modified gravity with Lagrange multiplier

Abstract

This work discuss the construction of braneworld solutions in modified gravity with Lagrange multipliers. We examine the general aspects of the model and present a first order formalism that help us to find analytic solutions of the equations of motion. We also investigate some explicit models, analyse linear stability of the metric and comment on how to relate models investigated in other works to the ones examined in the present study.

7 pages, 9 figures, it matches the published version

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