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

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dc.creatorCapozziello, S.
dc.creatorGarattini, R.
dc.date2007-02-14
dc.date.accessioned2026-07-07T11:01:42Z
dc.date.available2026-07-07T11:01:42Z
dc.descriptionIn 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.
dc.description16 pages, to appear in Class. Quant. Grav
dc.identifierhttps://arxiv.org/abs/gr-qc/0702075
dc.identifierhttp://arxiv.org/abs/gr-qc/0702075
dc.identifierClass.Quant.Grav.24:1627-1646,2007
dc.identifierdoi:10.1088/0264-9381/24/6/016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188030
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleThe cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint
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