The Einstein-Klein-Gordon Coupled System : : Global Stability of the Minkowski Solution: (AMS-213) / / Benoît Pausader, Alexandru D. Ionescu.
A definitive proof of global nonlinear stability of Minkowski spacetime as a solution of the Einstein-Klein-Gordon equationsThis book provides a definitive proof of global nonlinear stability of Minkowski spacetime as a solution of the Einstein-Klein-Gordon equations of general relativity. Along the...
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2022] ©2022 |
| Year of Publication: | 2022 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
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Ionescu, Alexandru D., author. aut http://id.loc.gov/vocabulary/relators/aut The Einstein-Klein-Gordon Coupled System : Global Stability of the Minkowski Solution: (AMS-213) / Benoît Pausader, Alexandru D. Ionescu. Princeton, NJ : Princeton University Press, [2022] ©2022 1 online resource (308 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 213 Frontmatter -- Contents -- 1 Introduction -- 2 The Main Construction and Outline of the Proof -- 3 Preliminary Estimates -- 4 The Nonlinearities Nhαβ and Nψ -- 5 Improved Energy Estimates -- 6 Improved Profile Bounds -- 7 The Main Theorems -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star A definitive proof of global nonlinear stability of Minkowski spacetime as a solution of the Einstein-Klein-Gordon equationsThis book provides a definitive proof of global nonlinear stability of Minkowski spacetime as a solution of the Einstein-Klein-Gordon equations of general relativity. Along the way, a novel robust analytical framework is developed, which extends to more general matter models. Alexandru Ionescu and Benoît Pausader prove global regularity at an appropriate level of generality of the initial data, and then prove several important asymptotic properties of the resulting spacetime, such as future geodesic completeness, peeling estimates of the Riemann curvature tensor, conservation laws for the ADM tensor, and Bondi energy identities and inequalities.The book is self-contained, providing complete proofs and precise statements, which develop a refined theory for solutions of quasilinear Klein-Gordon and wave equations, including novel linear and bilinear estimates. Only mild decay assumptions are made on the scalar field and the initial metric is allowed to have nonisotropic decay consistent with the positive mass theorem. The framework incorporates analysis both in physical and Fourier space, and is compatible with previous results on other physical models such as water waves and plasma physics. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) General relativity (Physics) General relativity (Physics). Klein-Gordon equation. Mathematical physics. Quantum field theory. SCIENCE / Physics / Mathematical & Computational. bisacsh Addition. Algebraic structure. Antiderivative. Approximation. Asymptote. Asymptotic analysis. Bending. Big O notation. Bootstrapping (statistics). Calculation. Cauchy distribution. Coefficient. Combination. Compact space. Complex number. Computation. Conserved quantity. Coordinate system. Coordinate-free. Covariant derivative. Derivative. Differential operator. Dispersion relation. Einstein field equations. Energy functional. Equation. Estimation. Exponential growth. Foliation. Fourier analysis. Fourier transform. Function (mathematics). Function space. General relativity. Geodesic. Geodesics in general relativity. Geographic coordinate system. Geometry. Global analysis. Globality. High frequency. Hyperboloid. Hypersurface. Hypothesis. Implementation. Ingredient. Integration by parts. Interpolation inequality. Klein–Gordon equation. Light cone. Local coordinates. Mathematical optimization. Metric tensor (general relativity). Metric tensor. Minkowski space. Momentum. Monograph. Monotonic function. Nonlinear system. Optics. Parametrization. Partial differential equation. Pointwise. Poisson bracket. Quantity. Remainder. Result. Riemann curvature tensor. Scalar field. Scattering. Schwarzschild metric. Scientific notation. Second fundamental form. Simultaneous equations. Small data. Small number. Sobolev space. Soliton. Space. Stability theory. Stress–energy tensor. Support (mathematics). Symmetrization. Theorem. Time derivative. Timelike Infinity. Trace (linear algebra). Two-dimensional space. Vacuum. Vector field. Very low frequency. Pausader, Benoît, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English 9783110993899 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 9783110994810 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Mat.Sc, Geosc 2022 English 9783110993448 Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Mat.Sc, Geosc 2022 9783110993219 ZDB-23-DPC Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2022 9783110749731 print 9780691233048 https://doi.org/10.1515/9780691233031?locatt=mode:legacy https://www.degruyter.com/isbn/9780691233031 Cover https://www.degruyter.com/document/cover/isbn/9780691233031/original |
| language |
English |
| format |
eBook |
| author |
Ionescu, Alexandru D., Ionescu, Alexandru D., Pausader, Benoît, |
| spellingShingle |
Ionescu, Alexandru D., Ionescu, Alexandru D., Pausader, Benoît, The Einstein-Klein-Gordon Coupled System : Global Stability of the Minkowski Solution: (AMS-213) / Annals of Mathematics Studies ; Frontmatter -- Contents -- 1 Introduction -- 2 The Main Construction and Outline of the Proof -- 3 Preliminary Estimates -- 4 The Nonlinearities Nhαβ and Nψ -- 5 Improved Energy Estimates -- 6 Improved Profile Bounds -- 7 The Main Theorems -- Bibliography -- Index |
| author_facet |
Ionescu, Alexandru D., Ionescu, Alexandru D., Pausader, Benoît, Pausader, Benoît, Pausader, Benoît, |
| author_variant |
a d i ad adi a d i ad adi b p bp |
| author_role |
VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Pausader, Benoît, Pausader, Benoît, |
| author2_variant |
b p bp |
| author2_role |
VerfasserIn VerfasserIn |
| author_sort |
Ionescu, Alexandru D., |
| title |
The Einstein-Klein-Gordon Coupled System : Global Stability of the Minkowski Solution: (AMS-213) / |
| title_sub |
Global Stability of the Minkowski Solution: (AMS-213) / |
| title_full |
The Einstein-Klein-Gordon Coupled System : Global Stability of the Minkowski Solution: (AMS-213) / Benoît Pausader, Alexandru D. Ionescu. |
| title_fullStr |
The Einstein-Klein-Gordon Coupled System : Global Stability of the Minkowski Solution: (AMS-213) / Benoît Pausader, Alexandru D. Ionescu. |
| title_full_unstemmed |
The Einstein-Klein-Gordon Coupled System : Global Stability of the Minkowski Solution: (AMS-213) / Benoît Pausader, Alexandru D. Ionescu. |
| title_auth |
The Einstein-Klein-Gordon Coupled System : Global Stability of the Minkowski Solution: (AMS-213) / |
| title_alt |
Frontmatter -- Contents -- 1 Introduction -- 2 The Main Construction and Outline of the Proof -- 3 Preliminary Estimates -- 4 The Nonlinearities Nhαβ and Nψ -- 5 Improved Energy Estimates -- 6 Improved Profile Bounds -- 7 The Main Theorems -- Bibliography -- Index |
| title_new |
The Einstein-Klein-Gordon Coupled System : |
| title_sort |
the einstein-klein-gordon coupled system : global stability of the minkowski solution: (ams-213) / |
| series |
Annals of Mathematics Studies ; |
| series2 |
Annals of Mathematics Studies ; |
| publisher |
Princeton University Press, |
| publishDate |
2022 |
| physical |
1 online resource (308 p.) |
| contents |
Frontmatter -- Contents -- 1 Introduction -- 2 The Main Construction and Outline of the Proof -- 3 Preliminary Estimates -- 4 The Nonlinearities Nhαβ and Nψ -- 5 Improved Energy Estimates -- 6 Improved Profile Bounds -- 7 The Main Theorems -- Bibliography -- Index |
| isbn |
9780691233031 9783110993899 9783110994810 9783110993448 9783110993219 9783110749731 9780691233048 |
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Q - Science |
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QC - Physics |
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QC174 |
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QC 3174.26 W28 I583 42022 |
| url |
https://doi.org/10.1515/9780691233031?locatt=mode:legacy https://www.degruyter.com/isbn/9780691233031 https://www.degruyter.com/document/cover/isbn/9780691233031/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
530 - Physics |
| dewey-ones |
530 - Physics |
| dewey-full |
530.11 |
| dewey-sort |
3530.11 |
| dewey-raw |
530.11 |
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530.11 |
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10.1515/9780691233031?locatt=mode:legacy |
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1301549360 |
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The Einstein-Klein-Gordon Coupled System : Global Stability of the Minkowski Solution: (AMS-213) / |
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tag="653" ind1=" " ind2=" "><subfield code="a">Theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Time derivative.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Timelike Infinity.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Trace (linear algebra).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Two-dimensional space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vacuum.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vector field.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Very low frequency.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pausader, Benoît, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield 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