More self-tuning solutions with $H_{MNPQ}$

TL;DR

This paper explores new self-tuning solutions in the Randall-Sundrum II model by introducing a general Lagrangian for a 3-index antisymmetric tensor field, including a specific logarithmic form that yields a closed-form weak self-tuning solution.

Contribution

It introduces a general Lagrangian framework for the antisymmetric tensor field, revealing new self-tuning solutions, notably a closed-form solution for the logarithmic case.

Findings

Derived new self-tuning solutions in RS II model.

Identified a closed-form weak self-tuning solution for the logarithmic Lagrangian.

Expanded the understanding of tensor field contributions to self-tuning mechanisms.

Abstract

We find more self-tuning solutions by introducing a general form for Lagrangian of a 3-index antisymmetric tensor field $A_{MNP}$ in the RS II model. In particular, for the logarithmic Lagrangian, $\propto\log(-H^2)$, we obtained a closed form weak self-tuning solution.