Unbounded entropy in spacetimes with positive cosmological constant

Details Unbounded entropy in spacetimes with positive cosmological constant Unbounded entropy in spacetimes with positive cosmological constant

2002-05-08

arxiv.org/abs/hep-th/0205080v2

Found.Phys. 33 (2003) 297-321

Physics

High Energy Physics

High Energy Physics - Theory

25 pages; v2: references added

Scientific paper

In theories of gravity with a positive cosmological constant, we consider product solutions with flux, of the form (A)dS_p x S^q. Most solutions are shown to be perturbatively unstable, including all uncharged dS_p x S^q spacetimes. For dimensions greater than four, the stable class includes universes whose entropy exceeds that of de Sitter space, in violation of the conjectured "N-bound". Hence, if quantum gravity theories with finite-dimensional Hilbert space exist, the specification of a positive cosmological constant will not suffice to characterize the class of spacetimes they describe.

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