Trin Tragula General Relativity
General relativity, step by step. This is a mathematical description of the nuts-and-bolts of Einstein's general theory of relativity, with no gaps. I am concentrating on the nitty-gritty of tensor calculus including detailed derivations of tensor algebra, Christoffel symbols, and the Riemann curvature tensor. I will discuss black holes in some detail (the Schwarzschild metric), and plan to add discussion of gravitational waves and cosmology.
GRSS027 raising and lowering indices (replacement)
GRSS 158 black holes modification to flat space
GRSS 009 contravariant vector components
GRSS 189 Kruskal Szekeres part five
GRSS 133 Riemann revisited
cos 22 radial light rays and cosmological redshift part one
cos 16 solutions for q using the Einstein field equations
cos 26 equation of state part one
cos 27 equation of state part two
cos 34 density deficit of the universe
cos 24 cosmological redshift using linear approximation
cos 31 Friedmann equation
cos 19 flat space might have nontrivial global topology
cos 25 Einstein field equations for a needs an equation of state
cos 10 Ricci tensor components in civilized form
cos 30 equation of state for a photon gas
cos 13 stress energy scalar
cos 18 nonstandard topological embeddings of knots
cos 21 universe with saddle like curvature solution
cos 17 closed universe has spherical geometry
cos 06 trial metric for the cosmos
cos 38 vacuum dominated universe
cos 14 Ricci tensor with one upstairs and one downstairs index
cos 29 equation of state part four interpretation
cos 03 universal time coordinate in cosmology
cos 36 radiation dominated universe
cos 09 Riemann Christoffel curvature tensor by hand
cos 37 matter dominated universe
cos 08 Ricci tensor for the trial metric
cos 32 Friedmann equation with equation of state