£96.66

Extensions of the Stability Theorem of the Minkowski Space in General Relativity 2009 (AMS/IP Studies in Advanced Mathematics)

Mathematical Analysis

Price data last checked 13 day(s) ago - will refresh soon

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

It has never been this cheap. We have no record of a lower price.

£97 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 78 days · 78 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 78 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £125 (43 days, 55.1%)

Price range: £97 - £125

Price levels: 2 different prices over 78 days

Description

This book consists of two independent works: Part I is 'Solutions of the Einstein Vacuum Equations', by Lydia Bieri. Part II is 'Solutions of the Einstein-Maxwell Equations', by Nina Zipser. A famous result of Christodoulou and Klainerman is the global nonlinear stability of Minkowski spacetime. In this book, Bieri and Zipser provide two extensions to this result. In the first part, Bieri solves the Cauchy problem for the Einstein vacuum equations with more general, asymptotically flat initial data, and describes precisely the asymptotic behavior. In particular, she assumes less decay in the power of $r$ and one less derivative than in the Christodoulou-Klainerman result. She proves that in this case, too, the initial data, being globally close to the trivial data, yields a solution which is a complete spacetime, tending to the Minkowski spacetime at infinity along any geodesic. In contrast to the original situation, certain estimates in this proof are borderline in view of decay, indicating that the conditions in the main theorem on the decay at infinity on the initial data are sharp. In the second part, Zipser proves the existence of smooth, global solutions to the Einstein-Maxwell equations. A nontrivial solution of these equations is a curved spacetime with an electromagnetic field. To prove the existence of solutions to the Einstein-Maxwell equations, Zipser follows the argument and methodology introduced by Christodoulou and Klainerman. To generalize the original results, she needs to contend with the additional curvature terms that arise due to the presence of the electromagnetic field $F$; in her case the Ricci curvature of the spacetime is not identically zero but rather represented by a quadratic in the components of $F$. In particular the Ricci curvature is a constant multiple of the stress-energy tensor for $F$. Furthermore, the traceless part of the Riemann curvature tensor no longer satisfies the homogeneous Bianchi equations but rather inhomogeneous equations including components of the spacetime Ricci curvature. Therefore, the second part of this book focuses primarily on the derivation of estimates for the new terms that arise due to the presence of the electromagnetic field.

Product Specifications

Format: hardcover
ASIN: 0821848232
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 15 September 2009
Listed Since: 30 May 2009

Barcode

No barcode data available

Extensions of the Stability Theorem of the Minkowski Space in General Relativity 2009 (AMS/IP Studies in Advanced Mathematics)

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution: (AMS-213) (Annals of Mathematics Studies, 213)

Covariance and Gauge Invariance in Continuum Physics: Application to Mechanics, Gravitation, and Electromagnetism: 73 (Progress in Mathematical Physics, 73)

Covariance and Gauge Invariance in Continuum Physics: Application to Mechanics, Gravitation, and Electromagnetism: 73 (Progress in Mathematical Physics, 73)

The Global Nonlinear Stability of Minkowski Space for Self-Gravitating Massive Fields: 3 (Series In Applied And Computational Mathematics)

Mathematical Theory of Black Holes in Higher Dimensions: 1031 (Lecture Notes in Physics, 1031)

Spacetime: Foundations of General Relativity and Differential Geometry: 59 (Lecture Notes in Physics Monographs, 59)

Springer Spacetime: General Relativity and Differential Geometry

Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (AMS-210) (Annals of Mathematics Studies, 210)

Curvature of Space and Time, with an Introduction to Geometric Analysis (Student Mathematical Library)

A Mathematical Journey to Relativity: Deriving Special and General Relativity with Basic Mathematics (UNITEXT for Physics)

Symmetries of Spacetimes and Riemannian Manifolds: 487 (Mathematics and Its Applications, 487)

General Relativity (Graduate Texts in Physics)

A College Course on Relativity and Cosmology

Geometry, Fields and Cosmology: Techniques and Applications: 88 (Fundamental Theories of Physics, 88)

Progress and Visions in Quantum Theory in View of Gravity: Bridging Foundations of Physics and Mathematics

Exact Solutions and Scalar Fields in Gravity: Recent Developments

Lectures on Mathematical Relativity: 66 (Mathematical Sciences Research Institute Publications, Series Number 66)

Geometry, Fields and Cosmology: Techniques and Applications: 88 (Fundamental Theories of Physics, 88)

Minkowski And Conformal Superspaces, The: The Classical And Quantum Descriptions

A Mathematical Journey to Relativity: Deriving Special and General Relativity with Basic Mathematics (UNITEXT for Physics)

CRC Press - The Cosmic Spacetime Astronomy Science Book

Understanding General Relativity: A First Course in Einstein's Amazing Theory

Yau: Seminar On Differential Geometry (Annals of Mathematics Studies, 102)

Homogeneous Relativistic Cosmologies (Princeton Series in Physics): 59