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Unbounded Entropy in Spacetimes with Positive Cosmological Constant

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Abstract

In theories of gravity with a positive cosmological constant, we consider product solutions with flux, of the form (A)dS p ×S q. Most solutions are shown to be perturbatively unstable, including all uncharged dS p ×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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Authors and Affiliations

  1. Institute for Theoretical Physics, UCSB, Santa Barbara, California, 93106

    Raphael Bousso & Oliver DeWolfe

  2. Perimeter Institute for Theoretical Physics, 35 King Street North, Waterloo, Ontario, NSJ 2W9, Canada

    Robert C. Myers

  3. Department of Physics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

    Robert C. Myers

  4. Department of Physics, McGill University, Montreal, Quebec, H3A 2T8, Canada

    Robert C. Myers

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  1. Raphael Bousso
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  2. Oliver DeWolfe
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  3. Robert C. Myers
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Bousso, R., DeWolfe, O. & Myers, R.C. Unbounded Entropy in Spacetimes with Positive Cosmological Constant. Foundations of Physics 33, 297–321 (2003). https://doi.org/10.1023/A:1023733106589

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