Abstract
In this work we study braneworld models in generalized fleft( R,Tright) gravity theories where the action depends on a function of the Ricci scalar R and the trace of the stress–energy tensor T. We explore the so-called scalar–tensor representation of the theory, where the dependence on R and T are exchanged for two auxiliary real scalar fields. We introduce a first-order formalism to relate the auxiliary fields with the source field of brane and analyze four distinct possibilities of current interest regarding compactification and asymmetry of the brane. We investigate the behavior of the auxiliary fields and their stability in each one of the four cases. For the models where the solution of the source field engenders compact behavior, the auxiliary fields exhibit a hybrid structure, behaving differently inside and outside the compact region described by the source configuration. In particular, we found that the solutions of the auxiliary fields are significantly modified in models where the geometry is strongly influenced by the source field. Moreover, for the model capable of engendering asymmetric features, the two auxiliary fields also respond to modifications on the parameter that controls the asymmetry of the system.
Highlights
Refs. [2–4] the thin brane scenario was modified to incorporate a real scalar field, the source field capable of generating a thick brane, in which the warp factor is a smooth function of the extra dimension
We introduce a first-order formalism to relate the auxiliary fields with the source field of brane and analyze four distinct possibilities of current interest regarding compactification and asymmetry of the brane
We have investigated the effects on the auxiliary fields of branes described by the scalar–tensor representation of generalized f (R, T ) gravity, caused by the presence of compactlike and asymmetric configurations of the source field
Summary
Refs. [2–4] the thin brane scenario was modified to incorporate a real scalar field, the source field capable of generating a thick brane, in which the warp factor is a smooth function of the extra dimension. In the context of generalized models, a specific issue concerns the emergence of inner structures of the brane When this is the case, studies indicate that the internal modification of the brane may change the resonance spectrum and location of the graviton when the brane is coupled with fermions [37–43]. An interesting way to analyze generalized gravity models is through the scalar–tensor representation In this scenario, auxiliary scalar fields are introduced to replace invariant contributions added to the model, but yet carrying all the information encoded within. In the second model, we consider solutions with a compactlike profile for the source field of the brane to study the changes in the auxiliary fields.
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