The book will appeal to graduate students and researchers in mathematics and mathematical physics interested in the connections between geometric analysis and general relativity. It builds a bridge from foundational coursework to more specialized results in the field for graduate students beginning their study of the Einstein constraints equations.
The book will appeal to graduate students and researchers in mathematics and mathematical physics interested in the connections between geometric analysis and general relativity. It builds a bridge from foundational coursework to more specialized results in the field for graduate students beginning their study of the Einstein constraints equations.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Justin Corvino is Marshall R. Metzgar Professor in the Department of Mathematics at Lafayette College, Pennsylvania. He earned his Ph.D. at Stanford in 2000 under the direction of Richard M. Schoen after completing his undergraduate degree at the Massachusetts Institute of Technology (MIT). He was previously an NSF Postdoctoral Research Fellow and Tamarkin Assistant Professor at Brown University. He spent the fall of 2008 at the Mittag-Leffler Institute in Sweden as a Fulbright Fellow. He has authored or co-authored numerous journal articles in geometric analysis and mathematical physics.
Inhaltsangabe
Preface Notation and conventions 1. Special relativity and Minkowski spacetime 2. The Einstein equation 3. Basics of Lorentzian causality 4. The Penrose singularity theorem 5. The Einstein constraint equations 6. Scalar curvature deformation and the Einstein constraint equations Excursus: first and second variation of area 7. Asymptotically flat solutions of the Einstein constraint equations 8. On the center of mass and constant mean curvature surfaces of asymptotically flat initial data sets 9. On the Riemannian Penrose inequality References Index.
Preface Notation and conventions 1. Special relativity and Minkowski spacetime 2. The Einstein equation 3. Basics of Lorentzian causality 4. The Penrose singularity theorem 5. The Einstein constraint equations 6. Scalar curvature deformation and the Einstein constraint equations Excursus: first and second variation of area 7. Asymptotically flat solutions of the Einstein constraint equations 8. On the center of mass and constant mean curvature surfaces of asymptotically flat initial data sets 9. On the Riemannian Penrose inequality References Index.
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