Abstract

In this paper we study shells of matter and black holes on the expanding bubbles realizing de Sitter space, that were proposed in [4]. We construct explicit solutions for a rigid shell of matter as well as black hole like solutions. The latter of these can also be used to construct Randall-Sundrum braneworld black holes in four dimensions.

Highlights

  • While outside the dark bubble, we have a solution sourced by a stringy distribution, there is no source below and the junction condition across demands a non trivial choice of boundary conditions imposed on the brane from the bulk spacetime on either side

  • In this article we have demonstrated that our model proposed in [4], which can incorporate dark energy into string theory, is capable of describing non-trivial gravitational phenomena such as black holes

  • The two different bulk extensions were necessitated by the fact that the five dimensional spacetime above the dark bubble is sourced by physical strings attached to it, while there is no source below the dark bubble

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Summary

Brief review of dark bubbles

Let us briefly summarize the most important features of our model. As a simple example we consider a spherical bubble of AdS5 (with cosmological constant Λ−) expanding in an AdS5 spacetime with a larger cosmological constant Λ+ > Λ−, where Λ± = −6k±2. For instance, how M+ > 0 on the outside but M− = 0 on the inside leads to a positive density of radiation At this point it is useful to contrast our model to the braneworlds of Randall and Sundrum, [5, 6]. Contrary to those models, where the inside of the bubble is identified with itself across the brane, our bubble has an inside and an outside This is why there is a minus sign between the two terms in the junction conditions, which carry over to the expression for G4 as well as to the effective 4D radiation density. Let us move on and consider some other interesting configurations

A rigid shell of matter uplifted in the fifth dimension
Uplifting upwards
Uplifting downwards
Sewing the bulk across the bubble wall
Black holes on dark bubbles
Discussion and outlook
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