%0 Journal Article %T A New Version of the Lambda-CDM Cosmological Model, with Extensions and New Calculations %A Jan Helm %J Journal of Modern Physics %P 193-238 %@ 2153-120X %D 2024 %I Scientific Research Publishing %R 10.4236/jmp.2024.152011 %X This article gives a state-of-the-art description of the cosmological Lambda-CDM model and in addition, presents extensions of the model with new calculations of background and CMB functions. Chapters 1-4 describe the background part of the model, i.e. the evolution of scale factor and density according to the Friedmann equations, and its extension, which results in a correction of the Hubble parameter, in agreement with new measurements (Cepheids-SNIa and Red-Giants). Based on this improved background calculation presented in chapters 5-9 the perturbation part of the model, i.e. the evolution of perturbation and structure according to the perturbed Einstein equations and continuity-Euler equations, and the power spectrum of the cosmic microwave background (CMB) is calculated with a new own code. %K Lambda-DCM %K Friedmann Equations %K CMB %K Metric Perturbation %K Hubble Parameter %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=131295