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_0 constant is obtained.
The cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint
GARATTINI, Remo;
2007-01-01
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_0 constant is obtained.File allegato/i alla scheda:
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