Phys. Rev. D 63, 064021 (2001) [6 pages]Quantum cosmology with a curvature squared action
A. K. Sanyal *
B. Modak † Received 28 April 2000; revised 25 October 2000; published 20 February 2001 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. ©2001 The American Physical Society
URL: http://link.aps.org/abstract/PRD/v63/e064021
* Permanent address: Relativity and Cosmology Research Centre, Department of Physics, Jadavpur University, Calcutta - 700 032, India. Email address: aks@juphys.ernet.in
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