The cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint

Abstract

In the framework of ADM formalism, it is possible to find out eigenvalues of the WDW equation with the meaning of vacuum states, i.e. cosmological constants, for f(R) theories of gravity, where f(R) is a generic analytic function of the Ricci curvature scalar R. The explicit calculation is performed for a Schwarzschild metric where one-loop energy is derived by the zeta function regularization method and a renormalized running Lambda constant is obtained.

16 pages, to appear in Class. Quant. Grav

References in corpus (3)

• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Lectures on Mathematical Cosmology
• Multigravity and Space Time Foam

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