Einstein Gravity in a Nutshell
eBook - PDF

Einstein Gravity in a Nutshell

Anthony Zee

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eBook - PDF

Einstein Gravity in a Nutshell

Anthony Zee

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About This Book

An ideal introduction to Einstein's general theory of relativity This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere.

  • Provides an accessible introduction to Einstein's general theory of relativity
  • Guides readers from Newtonian mechanics to the frontiers of modern research
  • Emphasizes symmetry and the Einstein-Hilbert action
  • Covers topics not found in standard textbooks on Einstein gravity
  • Includes interesting historical asides
  • Features numerous exercises and detailed appendices
  • Ideal for students, physicists, and scientifically minded lay readers
  • Solutions manual (available only to teachers)

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658
|
IX.
Aspects
of
Gravity
M
d
–2,1
AdS
d
w
Figure
3
A
slice
of
AdS
d
at
some
specific
value
of
w
is
the
(d
1
)
-dimensional
Minkowskian
spacetime
M
d
2,1
.
w
0
r
w
r
w
r
0
UV
IR
Figure
4
The
head
and
toes
of
a
human
of
physical
size
l
located
at
w
and
lined
up
along
the
x
-axis
are
separated
by
x
=
w
l
.
IR
=
infrared;
UV
=
ultraviolet.
You
might
have
noticed
that
combinations
such
as
w
+
1
w
in
(13)
are
practically
begging
us
to
write
w
as
an
exponential
and
introduce
cosh
and
sinh.
Indeed,
set
w
=
Le
u/L
in
(16)
and
write
ds
2
=
e
2
u
L
dt
2
+
dx
2
+
dy
2
+
dz
2
+
du
2
(18)
Note
that
the
coordinate
u
ranges
from
−∞
to
+∞
.
We
will
use
this
form
in
chapter
X.2
in
our
discussion
of
brane
worlds.
By
now
it
is
clear
how
the
Poincar´
e
coordinates
are
to
be
defined
for
AdS
d
.
(Compare
and
contrast
with
what
we
had
for
dS
d
.)
Let

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