Stability by Linearization of Einstein s Field Equation

The concept of linearization stability arises when one compares the solutions to a linearized equation with solutions to the corresponding true equation. This requires a new definition of linearization stability adapted to Einstein's equation. However, this new definition cannot be applied dire...

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Autori principali: Girbau, Joan (Autore), Bruna, Lluís (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Edizione:1st ed. 2010.
Serie:Progress in Mathematical Physics 58
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Edition sous un autre format:• Stability by linearization of Einstein's field equation, Joan Girbau, Lluís Bruna, Basel, Birkhäuser, 2010, 1 vol. (xv-208 p.), Progress in mathematical physics, 978-3-03-460303-4, Texte imprimé
• Stability by Linearization of Einstein's Field Equation, Texte imprimé, 9783034603096
• Stability by linearization of Einstein's field equation, Joan Girbau, Lluís Bruna, Basel, Birkhäuser, 2010, 1 vol. (xv-208 p.), Progress in mathematical physics, 978-3-03-460303-4
Descrizione
Riassunto:The concept of linearization stability arises when one compares the solutions to a linearized equation with solutions to the corresponding true equation. This requires a new definition of linearization stability adapted to Einstein's equation. However, this new definition cannot be applied directly to Einstein's equation because energy conditions tie together deformations of the metric and of the stress-energy tensor. Therefore, a background is necessary where the variables representing the geometry and the energy-matter are independent. This representation is given by a well-posed Cauchy problem for Einstein's field equation. This book establishes a precise mathematical framework in which linearization stability of Einstein's equation with matter makes sense. Using this framework, conditions for this type of stability in Robertson-Walker models of the universe are discussed
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Archives Springer e-books (Licence nationale)
ISBN:9783034603041
ISSN:2197-1846
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