Information content in $F(R)$ brane models with non-constant curvature

Abstract

In this work we investigate the entropic information-measure in the context of braneworlds with non-constant curvature. The braneworld entropic information is studied for gravity modified by the squared of the Ricci scalar, besides the usual Einstein-Hilbert term. We showed that the minimum value of the brane configurational entropy provides a stricter bound on the parameter that is responsible for the $F(R)$ model to differ from the Einstein-Hilbert standard one. Our results are moreover consistent to a negative bulk cosmological constant.

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• A cosmological scenario from the Starobinsky model within the $f(R,T)$ formalism
• Cosmological comoving behavior of the configurational entropy
• Configurational entropy as a bounding of Gauss-Bonnet braneworld models
• Phase transitions in thick branes endorsed by entropic information
• Configurational Entropy and braneworlds in f(T,B) gravity
• Geometrically contracted structure in teleparallel $f(T)$ gravity
• Configurational Entropy as a tool to select a physical Thick Brane Model
• Configurational entropy and Newton's Law in double sine-Gordon braneworlds
• Refinements of the Weyl pure geometrical thick branes from information-entropic measure
• Effects of Cuscuton dynamics on braneworld configurations in the scalar-tensor representation of $f\left(R,T\right)$ gravity