One-loop<i>f</i>(<i>R</i>) gravity in de Sitter universe
Guido CognolaDipartimento di Fisica, Università di Trento and Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Trento, ItalyE. ElizaldeConsejo Superior de Investigaciones Científicas (ICE/CSIC) and Institut d’Estudis Espacials de Catalunya (IEEC), Campus UAB, Fac Ciencies, Torre C5-Par-2a pl, E-08193 Bellaterra, Barcelona, SpainShin’ichi NojiriDepartment of Applied Physics, National Defence Academy, Hashirimizu, Yokosuka 239-8686, JapanSergei D. OdintsovICREA and Institut d’Estudis Espacials de Catalunya (IEEC), Campus UAB, Fac Ciencies, Torre C5-Par-2a pl, E-08193 Bellaterra, Barcelona, SpainSergio ZerbiniDipartimento di Fisica, Università di Trento and Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Trento, Italy
2005en
ABI
Abstract
Motivated by the dark energy issue, the one-loop quantization approach for a family of relativistic cosmological theories is discussed in some detail. Specifically, general $f(R)$ gravity at the one-loop level in a de Sitter universe is investigated, extending a similar program developed for the case of pure Einstein gravity. Using generalized zeta regularization, the one-loop effective action is explicitly obtained off-shell, what allows to study in detail the possibility of (de)stabilization of the de Sitter background by quantum effects. The one-loop effective action maybe useful also for the study of constant curvature black hole nucleation rate and it provides the plausible way of resolving the cosmological constant problem.
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