




96 pages, 9x6 inches
Jan
2001 Hardcover
ISBN 1589490002
US$38 

Buy It 

This book presents, in a natural and
beautiful way, the general relativity as a scheme for
describing the gravitational field and the equations it
obeys. Starting from physical motivations, curved
coordinates are introduced, and then the notion of an
affine connection field is added. At a later step, the
metric field is added. One then sees clearly how space
and time get more and more structure, until finally
Einstein's field equations logically come out. Many
applications of the theory are briefed and the readers
are referred to a carefully prepared literature list for
further details. However, extra attention is paid to an
application on gravitational radiation which may become
important in the near future but somehow is omitted from
introductory text books a bit too often. This book,
authored by a master theoretical physicist, serves well
as a textbook for an elementary course in General
Relativity.
"... a very elegant
book on the theoretical foundations of General Relativity ... very
reminiscent of Dirac's monograph but modernized ... am pleased to
recommend 't Hooft's book highly ... "
 George Smoot (UC Berkeley)
" ... this text to be far superior to
Dirac's General Theory of Relativity ... 't Hooft's direct and rather
elegant style will find many supporters."
Donald Marolf (Syracuse U),
Physics Today July issue (2001).
" ... a concise and lucid entry point to Einstein theory, written
by one of the prominent researchers in theoretical physics ... a useful
and handy reference to students whishing to get a quick access to the
essential ideas of general relativity"  Marc Henneaux (U
Libre de Bruxelles) in
a book review
published in journal General Relativity and Gravitation
Vol.34 No. 1 (2002)


Prologue
Literature
Ch.1 Summary of the theory of
Special Relativity. Notations.
Ch.2 The Eotvos experiments and
the equivalence principle.
Ch.3 The constantly accelerated
elevator. Rindler space.
Ch.4 Curved coordinates.
Ch.5 The affine connection.
Riemann curvature. 
Ch.6 The metric tensor.
Ch.7 The
perturbative expansion and Einstein's law of
gravity.
Ch.8 The action
principle.
Ch.9 Special coordinates.
Ch.10 Electromagnetism.
Ch.11 The Schwarzschild
solution.
Ch.12 Mercury and light
rays in the Schwarzschild metric.
Ch.13 Generalizations of
the Schwarzschild solution.
Ch.14 The
RobertsonWalker metric.
Ch.15 Gravitational
radiation. 

Gerard 't Hooft, a professor at Institute for
Theoretical Physics Utrecht University, is a world class
physicist. He has made profound contributions to many
research areas such as gauge theories in elementary
particle physics, quantum gravity and black holes, and
fundamental aspects of quantum physics. Among numerous
rewards and prizes that Professor 't Hoof has received,
is the 1999 Nobel Prize in Physics, shared with
Professor Martinus J.G. Veltman, for elucidating the
quantum structure of electroweak interactions in physics
(the Academy citation). The books authored by Professor
't Hooft include Under the Spell of the Gauge
Principle (1994) and In Search of the Ultimate
Building Blocks (1996).



