2015/11/30 by David Brizuela, Claus Kiefer, Manuel Kraemer +1 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #De Sitter space #De Sitter universe #Geometry #Gravitation #Invariant (physics) #Mathematical physics #Mathematics #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Universe #de Sitter invariant special relativity #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.93.104035
published as Phys. Rev. D 93, 104035 (2016) · 21 pages, 5 figures, clarifications and references added, version accepted for publication in Physical Review D
arxiv created 2016/04/21 · openalex publication_date 2016/05/17 · arxiv updated 2016/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present detailed calculations for quantum-gravitational corrections to the power spectra of gauge-invariant scalar and tensor perturbations during inflation. This is done by performing a semiclassical Born-Oppenheimer type of approximation to the Wheeler-DeWitt equation, from which we obtain a Schr"odinger equation with quantum-gravitational correction terms. As a first step, we perform our calculation for a de Sitter universe and find that the correction terms lead to an enhancement of power on the largest scales.