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2012

Accelerated Expansion from Negative \Lambda

Hartle, James B., Hawking, S. W., Hertog, Thomas

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Wave functions specifying a quantum state of the universe must satisfy the constraints of general relativity, in particular the Wheeler-DeWitt equation (WDWE).

We show for a wide class of models with non-zero cosmological constant that solutions of the WDWE exhibit a universal semiclassical asymptotic structure for large spatial volumes.
A consequence of this asymptotic structure is that a wave function in a gravitational theory with a negative cosmological constant can predict an ensemble of asymptotically classical histories which expand with a positive effective cosmological constant.
This raises the possibility that even fundamental theories with a negative cosmological constant can be consistent with our low-energy observations of a classical, accelerating universe.

Accelerated Expansion from Negative \Lambda · Around

Built on

P. McFadden, K. Skenderis, Holography for Cosmology
Original
1967
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J. B. Hartle and S. W. Hawking, The Wave Function of the Universe,
1983
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A. Starobinsky, Isotropization of Arbitrary Cosmological Expansion given an Effective Cosmological Constant
1983
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C. Fefferman, C. R. Graham, Conformal Invariants
1985
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J.B. Hartle, Spacetime Quantum Mechanics and the Quantum Mechanics of Spacetime
1995
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J. M. Maldacena, The Large N N limit of superconformal field theories and supergravity
1998
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