This
book continues our exploration of the most profound theory of science,
Einstein’s General Theory of Relativity.
All of modern astrophysics and cosmology stands on
the foundation of General Relativity that is best expressed in tensors.
This book, and its sequel, General Relativity 4: Astrophysics &
Cosmology, present the clearest, most
comprehensible, and most complete introduction to the tensor calculus
of differential topology, which Einstein used to explain the cosmos.
Derivations that are difficult to find elsewhere, are all collected
here and explained in detail.
This book presents all the principle tensors of
General Relativity, and explains how these are computed and utilized.
We apply our new expertise to:
 the derivation of
the Schwarzchild
metric
 the bending of
starlight
 stable and unstable
orbits around
black holes
 the massenergy
tensor
 the precession of
Mercury and
binary pulsars.
Those who love
mathematical challenges need look no
further. Others can bypass the appendices, which contain the most
advanced material.
Example

....
it stretches space radially, as illustrated above. Here, the massive
body warps space, surrounding itself with this
funnelshaped geometry. Any circle around the funnel would have a
larger diameter than in flat space. Instead of going “straight across”,
the diameter would run down into the funnel and up the other side


