2014/09/30 by Adam J. Christopherson, Ellie Nalson, Karim A. Malik · 9 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Curvature #Friedmann–Lemaître–Robertson–Walker metric #Gauge theory #Geometry #Mathematical physics #Perturbation (astronomy) #Physics #Quantum mechanics #Scalar field #Spacetime #Theoretical physics #astro-ph.CO #gr-qc
paper · pdf · doi:10.1088/0264-9381/32/7/075005
published in Classical and Quantum Gravity 32(7), 075005 (IOP Publishing) · 10 pages; v2: 11 pgs, added appendix, typos corrected. version to appear in Class. Quantum Grav
arxiv created 2015/02/28 · openalex publication_date 2015/03/09 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Working with perturbations about a Friedmann–Lemaître–Robertson–Walker spacetime, we compute the gauge-invariant curvature perturbation to second order solely in terms of scalar field fluctuations. Using the curvature perturbation on uniform density hypersurfaces as our starting point, we give our results in terms of field fluctuations in the flat gauge, incorporating both large and small scale behaviour. For ease of future numerical implementation, we give our result in terms of the scalar field fluctuations and their time derivatives.