Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-14
Phys.Rev.D78:043503,2008
Physics
High Energy Physics
High Energy Physics - Theory
25 pages
Scientific paper
10.1103/PhysRevD.78.043503
We investigate singular geometries which can be associated with warped branes in arbitrary dimensions. If the brane tension is allowed to be variable, the extremum condition for the action requires additional constraints beyond the solution of the field equations. In a higher dimensional world, such constraints arise from variations of the metric which are local in the usual four-dimensional spacetime, without changing the geometry of internal space. As a consequence, continuous families of singular solutions of the field equations, with arbitrary integration constants, are generically reduced to a discrete subset of extrema of the action, similar to regular spaces. As an example, no static extrema of the action with effective four-dimensional gravity exist for six-dimensional gravity with a cosmological constant. These findings explain why the field equations of the reduced four-dimensional theory are not consistent with arbitrary solutions of the higher dimensional field equations - consistency requires the additional constraints. The characteristic solutions for variable tension branes are non-static runaway solutions where the effective four-dimensional cosmological constant vanishes as time goes to infinity.
No associations
LandOfFree
Constraints for warped branes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Constraints for warped branes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constraints for warped branes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-55688