A Review of the N-bound and the Maximal Mass Conjectures Using NUT-Charged dS Spacetimes

Details A Review of the N-bound and the Maximal Mass Conjectures Using NUT-Charged dS Spacetimes A Review of the N-bound and the Maximal Mass Conjectures Using NUT-Charged dS Spacetimes

2004-08-07

arxiv.org/abs/hep-th/0408058v2

Int.J.Mod.Phys. A19 (2004) 3987-4036

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, 17 figures, a few typos corrected, addendum added with regard to some references that were later brought to our atte

Scientific paper

10.1142/S0217751X04019822

The proposed dS/CFT correspondence remains an intriguing paradigm in the context of string theory. Recently it has motivated two interesting conjectures: the entropic N-bound and the maximal mass conjecture. The former states that there is an upper bound to the entropy in asymptotically de Sitter spacetimes, given by the entropy of pure de Sitter space. The latter states that any asymptotically de Sitter spacetime cannot have a mass larger than the pure de Sitter case without inducing a cosmological singularity. Here we review the status of these conjectures and demonstrate their limitation. We first describe a generalization of gravitational thermodynamics to asymptotically de Sitter spacetimes, and show how to compute conserved quantities and gravitational entropy using this formalism. From this we proceed to a discussion of the N-bound and maximal mass conjectures. We then illustrate that these conjectures are not satisfied for certain asymptotically de Sitter spacetimes with NUT charge. We close with a presentation of explicit examples in various spacetime dimensionalities.

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