|
Showing 1 - 2 of
2 matches in All Departments
The main goal of this work is to revisit the proof of the global
stability of Minkowski space by D. Christodoulou and S. Klainerman,
[Ch-KI]. We provide a new self-contained proof of the main part of
that result, which concerns the full solution of the radiation
problem in vacuum, for arbitrary asymptotically flat initial data
sets. This can also be interpreted as a proof of the global
stability of the external region of Schwarzschild spacetime. The
proof, which is a significant modification of the arguments in
[Ch-Kl], is based on a double null foliation of spacetime instead
of the mixed null-maximal foliation used in [Ch-Kl]. This approach
is more naturally adapted to the radiation features of the Einstein
equations and leads to important technical simplifications. In the
first chapter we review some basic notions of differential geometry
that are sys tematically used in all the remaining chapters. We
then introduce the Einstein equations and the initial data sets and
discuss some of the basic features of the initial value problem in
general relativity. We shall review, without proofs,
well-established results concerning local and global existence and
uniqueness and formulate our main result. The second chapter
provides the technical motivation for the proof of our main
theorem.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.