Geometrical deformation of brane matter field within $f(R,Q,P)$ gravity

Abstract

In the context of braneworld scenarios, the real scalar field plays a crucial role by providing thickness for brane. In this work, we investigate a codimension-one thick brane within the framework of $f(R,Q,P)$ gravity, where $R$ represents the curvature scalar, while $Q=R_{\mu \nu }{R}^{\mu \nu }$ and $P=R_{\mu \nu \alpha \beta }{R}^{\mu \nu \alpha \beta }$ are quadratic geometric invariants. Our interest is to investigate the influence of these invariants on the scalar field solution and the energy density of the brane. Furthermore, we analyze the localization of spin $1/2$ fermions and the gravitino by employing a Yukawa-like coupling with the scalar field background. Such a coupling is able to produce a normalizable zero-mode for both fields.

27 pages, 11 figures, version accepted in EPJC

References in corpus (16)

• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Braneworld Models of Scalar Fields with Generalized Dynamics
• Fermion localization on thick branes
• Density perturbations in general modified gravitational theories
• f(R)-Brane
• Thick brane structures in generalized hybrid metric-Palatini gravity
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Vortex solutions in nonpolynomial scalar QED
• Spontaneous Symmetry Breaking in the Bulk as a Localization Mechanism of Fields on the Brane
• One-loop effective potential in the non-local supersymmetric gauge theory
• Gödel-type solutions within the $f(R,Q,P)$ gravity
• Multi-kink braneworld configurations in the scalar-tensor representation of $f(R,T)$ gravity
• Braneworlds in bumblebee gravity
• Braneworlds in Warped Einsteinian Cubic Gravity
• Shapes of magnetic monopoles in effective $SU(2)$ models
• Thick brane models in generalized mimetic gravity