Randall–Sundrum II cosmology, AdS/CFT, and the bulk black hole

Arthur Hebecker, John March-Russell
2001 Nuclear Physics B  
We analyse the cosmology of a brane world model where a single brane carrying the standard model fields forms the boundary of a 5-dimensional AdS bulk (the Randall-Sundrum II scenario). We focus on the thermal radiation of bulk gravitons, the formation of the bulk black hole, and the holographic AdS/CFT definition of the RSII theory. Our detailed calculation of bulk radiation reduces previous estimates to a phenomenologically acceptable, although potentially visible level. In late cosmology, in
more » ... which the Friedmann equation depends linearly on the energy density ρ, only about 0.5 is lost to the black hole or, equivalently, to the 'dark radiation' (Ω_d,N≃ 0.005 at nucleosynthesis). The preceding, unconventional ρ^2 period can produce up to 5 The AdS/CFT correspondence provides an equivalent description of late RSII cosmology. We show how the AdS/CFT formulation can reproduce the ρ^2 correction to the standard treatment at low matter density. However, the 4-dimensional effective theory of CFT + gravity breaks down due to higher curvature terms for energy densities where ρ^2 behaviour in the Friedmann equation is usually predicted. We emphasize that, in going beyond this energy density, the microscopic formulation of the theory becomes essential. For example, the pure AdS_5 and string-motivated AdS_5^5 definitions differ in their cosmological implications.
doi:10.1016/s0550-3213(01)00286-3 fatcat:qgw2uqvklngazfc7iu57rcrr4i