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

TL;DR

This paper explores the informational content of $F(R)$ brane models with non-constant curvature, showing that configurational entropy bounds can constrain deviations from standard gravity, consistent with a negative bulk cosmological constant.

Contribution

It introduces the use of brane configurational entropy to bound parameters in $F(R)$ gravity models with non-constant curvature, extending previous entropic analyses to modified gravity scenarios.

Findings

Minimum configurational entropy bounds model parameters more tightly.

Results are consistent with a negative bulk cosmological constant.

Provides new insights into the stability of $F(R)$ brane models.

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.