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arXiv · 0712.3246

Extracting the Cosmological Constant from the Wheeler DeWitt Equation in a Modified Gravity Theory

Remo Garattini
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Abstract

We discuss how to extract information about the cosmological constant from the Wheeler-DeWitt equation, considered as an eigenvalue of a Sturm-Liouville problem. A generalization to a f(R)theory is taken under examination. The equation is approximated to one loop with the help of a variational approach with Gaussian trial wave functionals. We use a zeta function regularization to handle with divergences. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation.

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Remo Garattini. 2007-12-19. Extracting the Cosmological Constant from the Wheeler DeWitt Equation in a Modified Gravity Theory. https://doi.org/10.1088/1751-8113/41/16/164057

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