**PART
I: The
Special Theory of
Relativity**
- Physical
meaning of
geometrical
propositions
- The system of co-ordinates
- Space and time in classical
mechanics
- The Galileian system of
co-ordinates
- The principle of relativity (in
the restricted
sense)
- The theorem of the addition of
velocities employed
in classical mechanics
- The apparent
incompatibility of
the law of
propagation of light with the principle of relativity
- On
the idea of time in physics
- The relativity of
simultaneity
- On the relativity of the
conception of distance
- The Lorentz transformation
- The behaviour of measuring-rods
and clocks in motion
- Theorem of the addition of
velocities. The
experiment of Fizeau
- The heuristic value of the
theory
of relativity
- General results of the theory
- Experience and the special theory
of relativity
- Minkowski's four-dimensional space
**PART
II: The
General Theory of
Relativity**
- Special
and general principle of
relativity
- The gravitational field
- The
equality of inertial and
gravitational mass as
an argument for the general postulate of relativity
- In
what respects are the
foundations of classical
mechanics and of the special theory of relativity unsatisfactory?
- A few inferences from the general
principle of
relativity
- Behaviour of clocks and
measuring-rods on a
rotating body of reference
- Euclidean and
non-Euclidean
continuum
- Gaussian co-ordinates
- The
space-time continuum of the
special theory of
relativity considered as a Euclidean continuum
- The
space-time continuum of the
general theory of
relativity is not a Euclidean continuum
- Exact
formulation of the general
principle of
relativity
- The solution of the problem of
gravitation on the
basis of the general principle of relativity
** PART III: Considerations
on the
Universe as a Whole**
- Cosmological
difficulties of
Newton's theory
- The possibility of a "finite" and
yet "unbounded"
universe
- The structure of space according
to the general
theory of relativity
Appendix 1: Simple
derivation of the Lorentz
transformation Appendix
2: Minkowski's
four-dimensional
space "world" Appendix
3: The experimental
confirmation of
the general theory
of relativity a) motion of the
perihelion of
Mercury b) deflection
of light by a
gravitational field c)
displacement of spectral
lines
towards the red a) the field b) the concept of
space in the
general theory of
relativity c) generalised
theory of
gravitation |