Einstein gravity on an even-codimension brane

Charmousis, Christos; Zegers, Robin

Abstract

We give the equations of motion for a self-gravitating Dirac p-brane embedded in an even codimension spacetime. The dynamics of the bulk are dictated by Lovelock gravity and permit matching conditions, even when the codimension is strictly greater than 2. We show that the equations of motion involve both induced Lovelock densities on the brane and regular extrinsic curvature terms. The brane dynamics can be derived from an exact (p+1)-dimensional induced action. The Dirac charge is carried by an overall (solid) angle defect which sets the Planck scale on the brane. In particular, if the codimension is greater than the world-volume dimension of the p-brane, we show that the extrinsic curvature terms cancel, leaving an exact induced Lovelock theory. For example, a 3-brane embedded in 8 or 10 dimensions obeys Einstein's equations with a cosmological constant.

Citation

Charmousis, C., & Zegers, R. (2005). Einstein gravity on an even-codimension brane. Physical Review D, Particles and fields, 72(6), https://doi.org/10.1103/physrevd.72.064005

• Journal Article Type: Article
• Online Publication Date: Sep 13, 2005
• Publication Date: Sep 13, 2005
• Deposit Date: Feb 28, 2008
• Journal: Physical Review D, Particles and fields
• Print ISSN: 0556-2821
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 72
• Issue: 6
• DOI: https://doi.org/10.1103/physrevd.72.064005
• Public URL: https://durham-repository.worktribe.com/output/1570507
• Publisher URL: http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRVDAQ000072000006064005000001&idtype=cvips&gifs=yes