Europhys. Lett.
Volume 75, Number 5, September 2006
Page(s) 702 - 708
Section General
Published online 21 July 2006
Europhys. Lett., 75 (5), pp. 702-708 (2006)
DOI: 10.1209/epl/i2006-10166-9

Variational methods in loop quantum cosmology

F. Shojai and A. Shojai

Department of Physics, University of Tehran - Tehran, Iran and Max Planck Institute for Gravitational Physics - Golm, Potsdam, Germany

received 8 March 2006; accepted in final form 5 July 2006
published online 21 July 2006

An action functional for the loop quantum cosmology difference equation is presented. It is shown that by guessing the general form of the solution and optimizing the action functional with respect to the parameters in the guessed solution one can obtain approximate solutions which are reasonably good.

04.60.Pp - Loop quantum gravity, quantum geometry, spin foams.
98.80.Qc - Quantum cosmology.
02.30.Xx - Calculus of variations.

© EDP Sciences 2006