Series solutions for a static scalar potential in a Salam-Sezgin Supergravitational hybrid braneworld

TL;DR

This paper derives a series solution for the static scalar potential in a Salam-Sezgin supergravity braneworld, showing it reproduces Newtonian gravity at lowest order, providing a quick check for model viability.

Contribution

It introduces a series solution method for the scalar potential in a supergravity braneworld, demonstrating its consistency with Newtonian gravity and aiding model validation.

Findings

The scalar potential matches Newton's Law at lowest order.

Series solutions effectively analyze scalar fields in braneworlds.

Method offers a quick check for gravitational behavior in models.

Abstract

The static potential for a massless scalar field shares the essential features of the scalar gravitational mode in a tensorial perturbation analysis about the background solution. Using the fluxbrane construction of [8] we calculate the lowest order of the static potential of a massless scalar field on a thin brane using series solutions to the scalar field's Klein Gordon equation and we find that it has the same form as Newton's Law of Gravity. We claim our method will in general provide a quick and useful check that one may use to see if their model will recover Newton's Law to lowest order on the brane.