Thick branes in the scalartensor representation of f(R, T) gravity
Abstract
Braneworld scenarios consider our observable universe as a brane embedded in a fivedimensional bulk. In this work, we consider thick braneworld systems in the recently proposed dynamically equivalent scalartensor representation of f(R, T) gravity, where R is the Ricci scalar and T the trace of the stressenergy tensor. In the general f (R ,T ) case we consider two different models: a brane model without matter fields where the geometry is supported solely by the gravitational fields, and a second model where matter is described by a scalar field with a potential. The particular cases for which the function f (R ,T ) is separable in the forms F (R )+T and R +G (T ) , which give rise to scalartensor representations with a single auxiliary scalar field, are studied separately. The stability of the gravitational sector is investigated and the models are shown to be stable against small perturbations of the metric. Furthermore, we show that in the f (R ,T ) model in the presence of an extra matter field, the shape of the graviton zeromode develops internal structure under appropriate choices of the parameters of the model.
 Publication:

European Physical Journal C
 Pub Date:
 November 2021
 DOI:
 10.1140/epjc/s10052021097835
 Bibcode:
 2021EPJC...81..981R