Emergent Gravity from a Mass Deformation in Warped Spacetime

TL;DR

This paper explores a five-dimensional warped gravity model with mass deformations, revealing localized graviton modes and an emergent gravity scenario that modifies Newton's law at small scales.

Contribution

It introduces a mass-deformed warped gravity framework with localized zero modes, providing a dual interpretation as emergent gravity with altered Newtonian behavior.

Findings

Localized tensor zero mode can be positioned anywhere in the bulk.

No scalar modes are present, and the model remains ghost-free.

Newton's law is modified to a new power law below millimeter scales.

Abstract

We consider a deformation of five-dimensional warped gravity with bulk and boundary mass terms to quadratic order in the action. We show that massless zero modes occur for special choices of the masses. The tensor zero mode is a smooth deformation of the Randall-Sundrum graviton wavefunction and can be localized anywhere in the bulk. There is also a vector zero mode with similar localization properties, which is decoupled from conserved sources at tree level. Interestingly, there are no scalar modes, and the model is ghost-free at the linearized level. When the tensor zero mode is localized near the IR brane, the dual interpretation is a composite graviton describing an emergent (induced) theory of gravity at the IR scale. In this case Newton's law of gravity changes to a new power law below the millimeter scale, with an exponent that can even be irrational.