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Flat 3-brane with tension in cascading gravity.

Claudia de Rham¹, Justin Khoury, Andrew Tolley

¹Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario, N2L 2Y5, Canada.

Physical Review Letters

|November 13, 2009

Summary

This summary is machine-generated.

In cascading gravity brane-world models, a 3-brane with tension remains flat within a higher-dimensional spacetime. This finding holds under weak-field approximations, ensuring a stable and non-singular bulk solution.

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Area of Science:

Theoretical physics
String theory
Brane cosmology

Background:

Investigates the cascading gravity brane-world scenario, where branes are embedded in higher dimensions.
Focuses on a (6+1)-dimensional spacetime with multiple lower-codimension branes, each possessing an induced gravity term.

Purpose of the Study:

To analyze the geometric properties of a 3-brane within this specific cascading gravity setup.
To determine the stability and characteristics of the spacetime under certain conditions.

Main Methods:

Employs the weak-field approximation to analyze the 3-brane's behavior.
Examines the bulk solution for singularities and perturbative stability.

Main Results:

Demonstrates that a 3-brane with tension remains geometrically flat.
Confirms that the bulk solution is non-singular and remains in the perturbative regime for small tensions.

Conclusions:

The cascading gravity brane-world scenario, specifically in 6+1 dimensions, allows for stable, flat 3-branes under weak-field conditions.
The derived bulk solution is robust, lacking singularities and maintaining perturbative stability.