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Curated by: eigenchris (146 videos)
Full relativity playlist: https://www.youtube.com/playlist?list=PLJHszsWbB6hqlw73QjgZcFh4DrkQLSCQa Powerpoint slide files: https://github.com/eigenchris/MathNotes/tree/master/Relativity Leave me a tip: https://ko-fi.com/eigenchris Links/Sources: Sean Carroll's 15-page PDF on cosmology: https://preposterousuniverse.com/wp-content/uploads/grnotes-eight.pdf PDF with derivation of "3rd" Friedmann Equation based on Adiabatic expansion (page 19): https://www.uio.no/studier/emner/matnat/astro/nedlagte-emner/AST4220/h09/course-material/lectures.pdf Article on Conservation of Energy in General Relativity: https://math.ucr.edu/home/baez/physics/Relativity/GR/energy_gr.html de Sitter's 1917 paper: https://academic.oup.com/mnras/article/78/1/3/1239878 Video on mathematics of de Sitter space: https://www.youtube.com/watch?v=dZ-4REivxRU Equation for de Sitter space: https://en.wikipedia.org/wiki/De_Sitter_space#Definition Equation for embedding Anti-de Sitter space: https://en.wikipedia.org/wiki/Anti-de_Sitter_space#Definition_and_properties PDF building up dS and AdS space from the basics: http://3dhouse.se/ingemar/relteori/Kurs.pdf Physics Stack exchange post about values of cosmological parameters: https://physics.stackexchange.com/questions/314660/to-what-accuracy-do-we-know-the-value-of-the-cosmological-constant Chronology of the Universe: https://en.wikipedia.org/wiki/Chronology_of_the_universe Dark Energy Survey (estimated cosmological parameters): https://en.wikipedia.org/wiki/Dark_Energy_Survey Video intro to Dark Energy Survey: https://www.youtube.com/watch?v=4TkyxLENS5Q Dr Becky talks about Dark Energy Survey: https://www.youtube.com/watch?v=IHMFDxLcMYs Cosmic Inflation: https://en.wikipedia.org/wiki/Inflation_(cosmology) "Gravity in a Nutshell" by A. Zee also has chapters on de Sitter and anti-de Sitter spacetimes (IX.10 and IX.11) Sources for the estimations of cosmological parameters: WMAP: https://arxiv.org/pdf/0803.0732.pdf BOOMERanG: https://arxiv.org/pdf/astro-ph/0004404.pdf Planck: https://en.wikipedia.org/wiki/Lambda-CDM_model#Parameters Other topics I didn't cover: Killing Vectors: https://en.wikipedia.org/wiki/Killing_vector_field Kerr Metric (rotating black holes): https://en.wikipedia.org/wiki/Kerr_metric Einstein-Hilbert Action (Lagrangian formulation of GR): https://en.wikipedia.org/wiki/Einstein%E2%80%93Hilbert_action 0:00 Introduction 1:04 Review of FLRW metric and Perfect Fluid 3:09 Friedmann Equations Derivation 7:04 "3rd" Friedmann Equation (conservation of energy) 8:25 Universes dominated by matter, radiation, dark energy 14:25 Einstein Static Universe 17:51 de Sitter / anti-de Sitter Universes 25:16 Cosmological parameters 28:02 Cosmological Models with Λ = 0 33:08 Cosmological Models with Λ ≠ 0 36:43 The model for our universe 39:17 Conclusion