Edi Halyo
Published 2001-12-11, updated 2001-12-20Version 3
We derive the Cardy--Verlinde entropy formula for the field theory that lives on the boundary of an asymptotically de Sitter space with a black hole. The boundary theory which is not conformal has a monotonic $C$--function defined by the Casimir energy. The instability of the space due to Hawking radiation from the black hole corresponds to an RG flow from the IR to the UV during which $C$ increases. The endpoint of black hole evaporation is de Sitter space which is described by a conformal theory at the UV fixed point of the RG flow.
Comments: 16 pages in phyzzx.tex, the discussion in section 4 clarified, minor corrections, two references added; v3: the relation between time evolution and RG flow made explicit, Comments and references added
Journal: JHEP 0203 (2002) 009
Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordström de Sitter Space
The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in $SAdS_5$ Black Holes
Cardy-Verlinde Formula and Thermodynamics of Black Holes in de Sitter Spaces
