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The Spectral Action and Cosmic Topology

Marcolli, Matilde and Pierpaoli, Elena and Teh, Kevin (2011) The Spectral Action and Cosmic Topology. Communications in Mathematical Physics, 304 (1). pp. 125-174. ISSN 0010-3616.

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The spectral action functional, considered as a model of gravity coupled to matter, provides, in its non-perturbative form, a slow-roll potential for inflation, whose form and corresponding slow-roll parameters can be sensitive to the underlying cosmic topology. We explicitly compute the non-perturbative spectral action for some of the main candidates for cosmic topologies, namely the quaternionic space, the Poincaré dodecahedral space, and the flat tori. We compute the corresponding slow-roll parameters and we check that the resulting inflation model behaves in the same way as for a simply-connected spherical topology in the case of the quaternionic space and the Poincaré homology sphere, while it behaves differently in the case of the flat tori. We add an appendix with a discussion of the case of lens spaces.

Item Type:Article
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URLURL TypeDescription ReadCube access Paper
Pierpaoli, Elena0000-0002-7957-8993
Additional Information:© 2011 Springer-Verlag. Received: 20 May 2010; Accepted: 21 October 2010; Published online: 22 February 2011. Communicated by A. Connes.
Issue or Number:1
Record Number:CaltechAUTHORS:20110509-092722190
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:23595
Deposited By: Tony Diaz
Deposited On:09 May 2011 23:25
Last Modified:18 Nov 2020 23:26

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