Abstract
We study Randall-Sundrum two brane setups with mismatched brane tensions. For the vacuum solutions, boundary conditions demand that the induced metric on each of the branes is either de Sitter, Anti-de Sitter, or Minkowski. For incompatible boundary conditions, the bulk metric is necessarily time-dependent. This introduces a new class of time-dependent solutions with the potential to address cosmological issues and provide alternatives to conventional inflationary (or contracting) scenarios. We take a first step in this paper toward such solutions. One important finding is that the resulting solutions can be very succinctly described in terms of an effective action involving only the induced metric on either one of the branes and the radion field. But the full geometry cannot necessarily be simply described with a single coordinate patch. We concentrate here on the time- dependent solutions but argue that supplemented with a brane stabilization mechanism one can potentially construct interesting cosmological models this way. This is true both with and without a brane stabilization mechanism.
Highlights
Let us first introduce what exactly is meant by mismatched branes
A question that had not been seriously addressed in the literature is what happens if the second brane demands a different slicing than the first — that is if we were to add an IR brane whose tension, in magnitude, is in a different regime compared to λc than the UV brane
If we turn on a finite temperature, μ = 0, and study two critical tension branes we find a solution with RUV = b20 + 2μ2t and constant φRS. b0 is again an integration constant, this time associated with the UV brane position
Summary
In order to describe solutions with multiple mismatched branes, let us first review the cast of characters and their geometry. There will be a special choice of coordinates on AdS5 in which the position of the brane is time independent. In this coordinate system the metric takes the form of (1.1). In order to understand how these branes are embedded in AdS5 it is easiest to transform these “adapted” coordinates to standard global coordinates on AdS5. Since this will be a crucial construction in understanding mismatched branes, let us be quite explicit about how this is done.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
