Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity

Abstract

In this work we study braneworld models in generalized $f\left(R,T\right)$ 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.

15 pages, 24 figures, to appear in EPJC

References in corpus (25)

• f(R,T) gravity
• Horndeski theory and beyond: a review
• Braneworld Models of Scalar Fields with Generalized Dynamics
• Fermion localization and resonances on two-field thick branes
• Fermion Resonances on Multi-field Thick Branes
• Degenerate and critical Bloch branes
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• From Kinks to Compactons
• Thick brane models in generalized theories of gravity
• Fermion localization on degenerate and critical branes
• Cuscuton gravity as a classically stable limiting curvature theory
• Extended Cuscuton as Dark Energy
• Fermion localization on two-field thick branes
• Thick branes with inner structure in mimetic $f(R)$ gravity
• Fermion localization in braneworld teleparallel f(T,B) gravity
• Gravitational resonances on $f(T)$-branes
• How to build a compact brane
• Dark bubbles and black holes
• Generalized geometrical coupling for vector field localization on thick brane in asymptotic Anti-de Sitter spacetime
• Five-dimensional regular black holes in a brane world
• Internal structure of cuscuton Bloch brane
• Fundamental energy scale of the thick brane in mimetic gravity
• New results on asymmetric thick branes
• Regular braneworlds with nonlinear bulk-fluids
• Effects of Cuscuton dynamics on braneworld configurations in the scalar-tensor representation of $f\left(R,T\right)$ gravity

Cited by in corpus (17)

• Non-exotic traversable wormhole solutions in linear $f\left(R,T\right)$ gravity
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Junction conditions of Palatini $f\left(\mathcal{R},T\right)$ gravity
• Mechanism to control the internal structure of thick brane
• Multi-kink brane in Gauss-Bonnet gravity and its stability
• Inflationary Cosmology in a non-minimal $f(R,T)$ gravity theory using a $RT$ mixing term
• Effective action of a self-interacting scalar field on brane
• Multi-kink braneworld configurations in the scalar-tensor representation of $f(R,T)$ gravity
• Growth of cosmic perturbations in the modified $f(R,T)$ gravity
• Scalar-tensor representation to $f(R,T)-$brane with Gauss-Bonnet gravity
• On the asymmetric non-canonical braneworld in five dimensions
• New Results For Cuscuton Multi-Field Brane
• Thick branes via higher order field theory models with exponential and power-law tails
• A way of decoupling the gravitational bulk field equations of regular braneworld black holes to suppress the bulk singularities
• Geometrical deformation of brane matter field within $f(R,Q,P)$ gravity
• Thick brane models in generalized mimetic gravity
• Cosmological sudden singularities in $f(R,T)$ gravity