Variational methods in loop quantum cosmologyF. 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