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Penrose diagram of an AdS black hole with the left asymptotic region terminating in an ETW brane (shown in red). The worldvolume geometry of the ETW brane is a big-bang/big-crunch cosmology.
Source publication
We study the construction of holographic models with closed FRW cosmologies on the worldvolume of a constant-tension brane inside a Schwarzschild-AdS black hole. In dimensions d>2, having a smooth Euclidean solution where the brane does not self-intersect limits the brane tension to T<T_*, preventing us from realising a separation of scales between...
Contexts in source publication
Context 1
... approach to understanding closed universes with big-bang/big-crunch cosmologies holographically was proposed in [1] (and further developed in [2,3,4,5]). The idea is to consider an asymptotically AdS d+1 black hole spacetime with a d-dimensional dynamical end of the world (ETW) brane behind the horizon providing an inner boundary of the spacetime, as depicted in figure 1. Starting from the t = 0 surface, the ETW brane falls into the black hole and terminates at the singularity, so its worldvolume geometry is a big-bang/big-crunch cosmology. ...
Context 2
... idea is to consider an asymptotically AdS d+1 black hole spacetime with a d-dimensional dynamical end of the world (ETW) brane behind the horizon providing an inner boundary of the spacetime, as depicted in figure 1. Starting from the t = 0 surface, the ETW brane falls into the black hole and terminates at the singularity, so its worldvolume geometry is a big-bang/big-crunch cosmology. The state in the bulk on the t = 0 surface is dual to some state in the dual d-dimensional CFT on the asymptotic boundary on the right in figure 1, which therefore includes a description of the cosmology on the ETW brane worldvolume. ...
Context 3
... holographic model of cosmology we consider was first proposed in [1]. The model consists of an AdS black hole bulk with one asymptotic region, with a dynamical constant-tension ETW brane behind the horizon, as pictured in figure 1. The induced geometry on the ETW brane worldvolume is that of a closed FRW universe, with the radial position playing the role of the scale factor. ...
Context 4
... the future and past of this, r(t) decreases, as pictured in figure 1. The brane worldvolume geometry is thus a closed FRW big-bang/big-crunch cosmology, where the brane radius r(t) plays the role of the scale factor, and the brane equation of motion (4) corresponds to the Friedmann equation in this worldvolume cosmology. ...
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A bstract
We study the construction of holographic models with closed FRW cosmologies on the worldvolume of a constant-tension brane inside a Schwarzschild-AdS black hole. In dimensions d > 2, having a smooth Euclidean solution where the brane does not self-intersect limits the brane tension to T < T * , preventing us from realising a separation of...
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