Description
General relativity came to life in 1915, when Albert Einstein formulated his field equations. These unify space, time, and gravitation, where the latter acts through curvature. Thereby the laws of physics obtain a geometric nature. Mathematical general relativity investigates spacetimes, which are manifolds equipped with a Lorentzian metric obeying the related Einsteinmatter systems of nonlinear partial differential equations. The fruitful interactions of mathematics and physics in general relativity have produced breakthroughs in all the related research fields.
This volume includes 14 new articles presenting aspects of the most important general relativity research of the past 100 years. Among them we find cosmological and noncosmological questions, the Cauchy problem for the Einstein equations, stability results, black holes and their formation, gravitational waves and their memory effect, the concept of energy, and the asymptotics of spacetimes.
Through geometric analysis and advanced theory of nonlinear partial differential equations, longstanding problems have been solved lately that had remained locked since the beginnings of this beautiful theory of general relativity. Many more burning questions have been formulated and are yet to be answered.
This volume is part of the Surveys in Differential Geometry book series.
Publications
Pub. Date 
ISBN13 
ISBN10 
Medium 
Binding 
Size, Etc. 
Status 
List Price 
2015 Aug 
9781571463081 
1571463089 

hardcover 
7” x 10” 
In Print 
US$85.00 