Higher order dilaton gravity: brane equations of motion in the covariant formulation

TL;DR

This paper derives covariant brane equations of motion in higher order dilaton gravity models with brane interactions, analyzing how bulk properties influence brane dynamics under various symmetries.

Contribution

It provides a systematic derivation of brane equations of motion in higher derivative dilaton gravity models, highlighting the role of symmetries and bulk quantities.

Findings

Brane equations depend on bulk quantities and symmetries.

Explicit examples with two and four derivatives are presented.

The number of independent brane equations varies with model symmetry.

Abstract

Dilaton gravity with general brane localized interactions is investigated. Models with corrections up to arbitrary order in field derivatives are considered. Effective gravitational equations of motion at the brane are derived in the covariant approach. Dependence of such brane equations on the bulk quantities is discussed. It is shown that the number of the bulk independent brane equations of motion depends strongly on the symmetries assumed for the model and for the background. Examples with two and four derivatives of the fields are presented in more detail.