It takes the average reader 3 hours and 14 minutes to read The Global Nonlinear Stability Of Minkowski Space For Self-gravitating Massive Fields by Lefloch Philippe G
Assuming a reading speed of 250 words per minute. Learn more
This book is devoted to the Einstein's field equations of general relativity for self-gravitating massive scalar fields. We formulate the initial value problem when the initial data set is a perturbation of an asymptotically flat, spacelike hypersurface in Minkowski spacetime. We then establish the existence of an Einstein development associated with this initial data set, which is proven to be an asymptotically flat and future geodesically complete spacetime. Contents: IntroductionOverview of the Hyperboloidal Foliation MethodFunctional Analysis on Hyperboloids of Minkowski SpacetimeQuasi-Null Structure of the Einstein-Massive Field System on HyperboloidsInitialization of the Bootstrap ArgumentDirect Control of Nonlinearities in the Einstein EquationsDirect Consequences of the Wave Gauge ConditionSecond-Order Derivatives of the Spacetime MetricSup-Norm Estimate Based on CharacteristicsLow-Order Refined Energy Estimate for the Spacetime MetricLow-Order Refined Sup-Norm Estimate for the Metric and Scalar FieldHigh-Order Refined L² EstimatesHigh-Order Refined Sup-Norm EstimatesLow-Order Refined Energy Estimate for the Scalar FieldAppendices: Revisiting the Wave-Klein-Gordon ModelSup-Norm Estimate for the Wave EquationsSup-Norm Estimate for the Klein-Gordon EquationCommutator Estimates for the Hyperboloidal FrameBibliography Readership: Graduate students and researchers interested in mathematical general relativity. Keywords: General Relativity;Einstein Equations;Massive Field;Minkowski Space;Nonlinear Global Stability;Hyperboloidal Foliation MethodReview: Key Features: This is the first mathematical result on the global nonlinear stability of matter fields in general relativityProvide a framework to treat other matter fields such as the massive Yang-Mills fields which are of particular importance in physics
The Global Nonlinear Stability Of Minkowski Space For Self-gravitating Massive Fields by Lefloch Philippe G is 188 pages long, and a total of 48,504 words.
This makes it 63% the length of the average book. It also has 59% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 25 minutes to read The Global Nonlinear Stability Of Minkowski Space For Self-gravitating Massive Fields aloud.
The Global Nonlinear Stability Of Minkowski Space For Self-gravitating Massive Fields is suitable for students ages 10 and up.
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