Volume 129, Number 1, January 2020
|Number of page(s)||7|
|Section||The Physics of Elementary Particles and Fields|
|Published online||12 February 2020|
First-order formalism for thick branes in modified gravity with Lagrange multiplier
1 Departamento de Física, Universidade Federal da Paraíba - 58051-970, João Pessoa, PB, Brazil
2 Faculdade Uninassau Petrolina - 56308-210, Petrolina, PE, Brazil
Received: 7 December 2019
Accepted: 21 January 2020
This work discusses 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 helps us to find analytic solutions of the equations of motion. We also investigate some explicit models, analyse the linear stability of the metric and comment on how to relate models investigated in other works to the ones examined in the present study.
PACS: 11.25.-w – Strings and branes
© EPLA, 2020
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