One-loopf(R) gravity in de Sitter universe

2005/01/31 by Guido Cognola, E. Elizalde, Emilio Elizalde +4 · 9 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter space #De Sitter universe #Effective action #Gravitation #Loop quantum gravity #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Schwarzschild radius #Theoretical physics #Universe #astro-ph #de Sitter–Schwarzschild metric #gr-qc #hep-th

paper · pdf · doi:10.1088/1475-7516/2005/02/010

published as JCAP 0502:010,2005 · 25 pages, Latex file. Discussion enlarged, new references added. Version accepted in JCAP

arxiv created 2005/02/14 · openalex publication_date 2005/02/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

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, which allows us to study in detail the possibility of (de)stabilization of the de Sitter background by quantum effects. The one-loop effective action may also be useful for the study of the constant curvature black hole nucleation rate and it provides a plausible way of resolving the cosmological constant problem.

Citations

• Palatini formulation of modified gravity with lnR terms
• TWO-LOOP APPROACH TO THE EFFECTIVE ACTION IN QUANTUM GRAVITY
• GAUGE DEPENDENCE OF THE EFFECTIVE AVERAGE ACTION IN EINSTEIN GRAVITY
• Adiabatic regularization of the graviton stress-energy tensor in de Sitter space-time
• Pair production of topological anti-de Sitter black holes
• Black holes with unusual topology
• Is cosmic speed-up due to new gravitational physics?
• Entropy and universality of the Cardy-Verlinde formula in a dark energy universe

Cited by

• Bouncing universe with the modified gravity coupled to the Weyl tensor
• Energy distribution in f (R) gravity
• Matter density perturbations in modified gravity models with arbitrary coupling between matter and geometry
• The generalized second law of thermodynamics for interacting f(R) gravity
• Solutions for f(R) gravity coupled with electromagnetic field
• Renormalization group flow off(R)gravity
• Modified gravity as an alternative for ΛCDM cosmology
• Observational tests of a two parameter power-law class modified gravity in Palatini formalism
• A viable model for modified gravity
• Homogeneous Cosmologies in Generalized Modified Gravity