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

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

2007-02-14

arxiv.org/abs/gr-qc/0702075v1

Class.Quant.Grav.24:1627-1646,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, to appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/24/6/016

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.

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