Quantum cosmology with a curvature squared action

Details Quantum cosmology with a curvature squared action Quantum cosmology with a curvature squared action

2001-06-30

arxiv.org/abs/gr-qc/0107001v1

Phys.Rev.D63:064021,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, revtex

Scientific paper

10.1103/PhysRevD.63.064021

The correct quantum description for a curvature squared term in the action can be obtained by casting the action in the canonical form with the introduction of a variable which is the negative of the first derivative of the field variable appearing in the action, only after removing the total derivative terms from the action. We present the Wheeler-DeWitt equation and obtain the expression for the probability density and current density from the equation of continuity. Furthermore, in the weak energy limit we obtain the classical Einstein equation. Finally we present a solution of the wave equation.

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