Regularization of the linearized gravitational self-force for branes

Abstract

We discuss the linearized, gravitational self-interaction of a brane of arbitrary codimension in a spacetime of arbitrary dimension. We find that in the codimension two case the gravitational self-force is exactly zero for a Nambu-Goto equation of state, generalizing a previous result for a string in four dimensions. For the case of a 3-brane, this picks out the case of a six-dimensional brane-world model as having special properties which we discuss. In particular, we see that bare tension on the brane has no effect locally, suppressing the cosmological constant problem.

4 pages

References in corpus (4)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Cosmology of codimension-two braneworlds
• Spheres, Deficit Angles and the Cosmological Constant

Cited by in corpus (7)

• Thick brane solutions
• On braneworld cosmologies from six dimensions, and absence thereof
• Conservation equation on braneworlds in six dimensions
• Regularized braneworlds of arbitrary codimension
• Linearized self-forces for branes
• Codimension Two Branes in Einstein-Gauss-Bonnet Gravity
• Self-interaction of an arbitrary moving dislocation