0:55
cos 00 introduction
Trin Tragula General Relativity
4:56
cos 01 sign conventions and uniformity of the cosmological fluid
4:23
cos 02 homogeneity and isotropy of the universe
7:15
cos 03 universal time coordinate in cosmology
9:41
cos 04 comoving distance
2:43
cos 05 Hubble expansion
cos 06 trial metric for the cosmos
9:11
cos 07 Christoffel symbols for the trial metric
5:44
cos 08 Ricci tensor for the trial metric
18:03
cos 09 Riemann Christoffel curvature tensor by hand
5:10
cos 10 Ricci tensor components in civilized form
6:57
cos 11 Einstein field equations with total stress energy
12:22
cos 12 stress energy tensor with one downstairs index
1:47
cos 13 stress energy scalar
17:31
cos 14 Ricci tensor with one upstairs and one downstairs index
6:11
cos 15 equation for q derived from Einstein field equations
12:31
cos 16 solutions for q using the Einstein field equations
9:07
cos 17 closed universe has spherical geometry
11:35
cos 18 nonstandard topological embeddings of knots
6:17
cos 19 flat space might have nontrivial global topology
6:27
cos 20 circumference of circle radius r is less than 2 pi r
4:35
cos 21 universe with saddle like curvature solution
7:56
cos 22 radial light rays and cosmological redshift part one
5:55
cos 23 cosmological redshift part two
13:10
cos 24 cosmological redshift using linear approximation
8:54
cos 25 Einstein field equations for a needs an equation of state
14:14
cos 26 equation of state part one
13:09
cos 27 equation of state part two
7:14
cos 28 equation of state part three
10:46
cos 29 equation of state part four interpretation
4:40
cos 30 equation of state for a photon gas
6:10
cos 31 Friedmann equation
6:02
cos 32 Friedmann equation with equation of state
6:04
cos 33 critical density of the universe determines its curvature
4:16
cos 34 density deficit of the universe
3:56
cos 35 Friedmann equations in form suitable for solution
cos 36 radiation dominated universe
2:41
cos 37 matter dominated universe
1:52
cos 38 vacuum dominated universe
