## Department of Physics Papers

#### Document Type

Journal Article

#### Date of this Version

6-3-2008

#### Abstract

We construct an explicit model of the gravity trapping domain-wall potential, where for the first time we can study explicitly the graviton wave function fluctuations for any thickness of domain wall. A concrete form of the potential depends on one parameter 0 ≤ *x* ≤ π/2 , which effectively parameterizes the thickness of the domain wall with specific limits *x* → 0 and *x* → π/2 2 corresponding to the thin and the thick wall, respectively. The analysis of continuum Kaluza-Klein fluctuations yields explicit expressions for both small and large Kaluza-Klein energy. We also derive specific explicit conditions in the regime *x* > 1, for which the fluctuation modes exhibit a resonance behavior, and which could sizably affect the modifications of the four-dimensional Newton’s law at distances that typically are by 4 orders of magnitude larger than those relevant for Newton’s law modifications of thin walls.

#### Recommended Citation

Cvetič, M., & Robnik, M. (2008). Gravity Trapping on a Finite Thickness Domain Wall: An Analytic Study. Retrieved from http://repository.upenn.edu/physics_papers/110

**Date Posted:** 25 January 2011

This document has been peer reviewed.

## Comments

Suggested Citation:

M. Cvetič and M. Robnik. (2008). "Gravity trapping on a finite thickness domain wall: An analytic study."

Physical Review D.77, 124003.© 2008 The American Physical Society

http://dx.doi.org/10.1103/PhysRevD.124003.