Effective Field Equations of Brane-Induced Electromagnetism

TL;DR

This paper derives effective electromagnetic field equations on branes within the DGP braneworld scenario using a covariant geometric approach, analyzing conditions for recovering standard Maxwell equations.

Contribution

It presents a general formalism for projecting 5D Maxwell equations onto curved branes, incorporating induced kinetic terms and match conditions in DGP models.

Findings

Effective field equations for brane electromagnetism derived

Conditions for recovering 4D Maxwell equations identified

Estimate of term contributions in the effective equations

Abstract

Using a covariant embedding formalism, we find the effective field equations for the Electromagnetism that emerge on branes in the context of Dvali-Gabadadze-Porrati (DGP) braneworld scenario. Our treatment is essentially geometrical. We start with Maxwell equations in five-dimensions and project them into an arbitrary brane. The formalism is quite general and allows us to consider curved bulk spaces and curved branes whose tension is not necessarily null. The kinetic electromagnetic term induced on the world volume of the brane, proper of DGP models, is incorporated in this formulation by means of an appropriate match condition. We also give an estimate of each term of the effective field equations and determine the domain in which the four-dimensional Maxwell equations can be recovered in the brane.