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Phys. Rev. D 66, 123503 (2002) [17 pages]

Supergravity, dark energy, and the fate of the universe

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Renata Kallosh1, Andrei Linde1, Sergey Prokushkin1, and Marina Shmakova2
1Department of Physics, Stanford University, Stanford, California 94305-4060
2SLAC, Stanford University, Stanford, California 94309

Received 30 August 2002; published 18 December 2002

We propose a description of dark energy and acceleration of the universe in extended supergravities with de Sitter (dS) solutions. Some of them are related to M theory with noncompact internal spaces. Masses of ultralight scalars in these models are quantized in units of the Hubble constant: m2=nH2. If the dS solution corresponds to a minimum of the effective potential, the universe eventually becomes dS space. If the dS solution corresponds to a maximum or a saddle point, which is the case in all known models based on N=8 supergravity, the flat universe eventually stops accelerating and collapses to a singularity. We show that in these models, as well as in the simplest models of dark energy based on N=1 supergravity, the typical time remaining before the global collapse is comparable to the present age of the universe, t=O(1010)yr. We discuss the possibility of distinguishing between various models and finding our destiny using cosmological observations.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.123503
DOI:
10.1103/PhysRevD.66.123503
PACS:
98.80.Cq, 04.65.+e, 11.25.-w