0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations

Buy Now

The Evolution Problem in General Relativity (Paperback, Softcover reprint of the original 1st ed. 2003) Loot Price: R1,916 Discovery Miles 19 160 You Save: R188 (9%)

This item is a special order that could take a long time to obtain.

The Evolution Problem in General Relativity (Paperback, Softcover reprint of the original 1st ed. 2003): Sergiu Klainerman,...
The Evolution Problem in General Relativity (Paperback, Softcover reprint of the original 1st ed. 2003): Sergiu Klainerman,...

Share your images

The Evolution Problem in General Relativity (Paperback, Softcover reprint of the original 1st ed. 2003)

Sergiu Klainerman, Francesco Nicolo

Series: Progress in Mathematical Physics, 25

 (sign in to rate)
List price R2,104 Loot Price R1,916 Discovery Miles 19 160 You Save R188 (9%)

Bookmark and Share

Our supplier does not have stock of this product at present, but we can create a special order for you. Alternatively, if you add it to your wishlist we will send you an email message should it become available from stock. Special orders from this supplier are normally fulfilled within 31 - 41 working days. Please note:

  • Special order items cannot be combined on an order with other items.
  • Special orders can sometimes take significantly longer than this estimate and sometimes our suppliers may be unable to fill a special order.
  • We cannot accept returns of special order titles.
  • If we haven't been able to get the product for you within about 3 months, we will automatically cancel the order and fully refund any payments that you have made.

New to special orders? Find out more.

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.

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Progress in Mathematical Physics, 25
Release date: September 2011
First published: 2003
Authors: Sergiu Klainerman • Francesco Nicolo
Dimensions: 234 x 156 x 21mm (L x W x T)
Format: Paperback - Trade
Pages: 404
Edition: Softcover reprint of the original 1st ed. 2003
ISBN-13: 978-1-4612-7408-7
Barcode: 9781461274087
Categories: Books > Science & Mathematics > Mathematics > Applied mathematics
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Physics
Books > Science & Mathematics > Physics > General
LSN: 1-4612-7408-7

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

Loyalty partners