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Extensions of the Stability Theorem of the Minkowski Space in General Relativity by Lydia Bieri ; Nina Zipser is a nonfiction available to read on EtoBox.

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<p>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 fo

Who reads Extensions of the Stability Theorem of the Minkowski Space in General Relativity?

Author

Lydia Bieri ; Nina Zipser

Publisher

American Mathematical Society ; International Press

Published

2009

Language

EN

ISBN

9780821848241

Category

nonfiction

Subjects

Mathematics, Science, Physics