Title

Canonical and Quantum FRW Cosmological Solutions in M-theory

Abstract

We present a canonical and quantum cosmological investigation of a spatially flat, four-dimensional Friedmann-Robertson-Walker (FRW) model that is derived from the M-theory effective action obtained originally by Billyard, Coley, Lidsey and Nilsson (BCLN). The analysis makes use of two sets of canonical variables, the Shanmugadhasan gauge-invariant canonical variables and the 'hybrid' variables which diagonalize the Hamiltonian. We find the observables and discuss in detail the phase space of the classical theory. In particular, a region of phase space exists that describes a four-dimensional FRW spacetime first contracting from a strong-coupling regime and then expanding to a weak-coupling regime, while the internal space always contracts. We find the quantum solutions of the model and obtain the positive norm Hilbert space of states. Finally, the correspondence between wavefunctions and classical solutions is outlined.

Department(s)

Physics

Sponsor(s)

FCT (Fundação para a Ciência e Tecnologia)
United States. Department of Energy

Comments

This work is supported by grants ESO/PROJ/1258/98, CERN/P/FIS/15190/1999, Sapiens-Proj32327/99. MC is partially supported by the FCT grant Praxis XXI BPD/20166/99. This work is supported in part by funds provided by the US Department of Energy (DOE) under cooperative research agreement DE-FC02-94ER40818

International Standard Serial Number (ISSN)

0264-9381

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 Institute of Physics - IOP Publishing, All rights reserved.

Share

 
COinS