On Mapping Properties of the General Relativistic Constraints Operator in Weighted Function Spaces, with Applications PDF Download

Author: Piotr T. Chruściel
Publisher:
ISBN:
Category : Function spaces
Languages : en
Pages : 118

View

Book Description
In this book, the authors prove perturbation and gluing results for solutions of the general relativistic constraints with controlled boundary behavior or asymptotic behavior. This is obtained by a study of the linearized equation in weighted spaces a la Corvino-Schoen. Among other methods, this can be used to prove existence of non-trivial asymptotically simple vacuum space-times. The book is suitable for graduate students and research mathematicians interested in analysis.

Author: Juan A. Valiente Kroon
Publisher: Cambridge University Press
ISBN: 1009291343
Category : Science
Languages : en
Pages : 627

View

Book Description
This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.

Author: Mark Lʹvovich Agranovskiĭ
Publisher: American Mathematical Soc.
ISBN: 0821851977
Category : Mathematics
Languages : en
Pages : 314

View

Book Description
The papers in this volume cover a wide variety of topics in differential geometry, general relativity, and partial differential equations. In addition, there are several articles dealing with various aspects of Lie groups and mathematics physics. Taken together, the articles provide the reader with a panorama of activity in general relativity and partial differential equations, drawn by a number of leading figures in the field. The companion volume (Contemporary Mathematics, Volume 553) is devoted to function theory and optimization.

Author: Sergio Cacciatori
Publisher: Springer Nature
ISBN: 3030180611
Category : Science
Languages : en
Pages : 359

View

Book Description
This book is based on lectures given at the first edition of the Domoschool, the International Alpine School in Mathematics and Physics, held in Domodossola, Italy, in July 2018. It is divided into two parts. Part I consists of four sets of lecture notes. These are extended versions of lectures given at the Domoschool, written by well-known experts in mathematics and physics related to General Relativity. Part II collects talks by selected participants, focusing on research related to General Relativity.

Author: Piotr T. Chrusciel
Publisher: Birkhäuser
ISBN: 3034879539
Category : Science
Languages : en
Pages : 487

View

Book Description
The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out. Background material on techniques in PDE theory, differential geometry, and causal theory is provided.

Author: James M. Nester
Publisher: World Scientific
ISBN: 9812772928
Category : Science
Languages : en
Pages : 433

View

Book Description
The ICGA series of conferences is specially aimed to serve the needs of the workers in this research area in the Asia-Pacific region. The previous conferences of this series have attracted a growing number of local, regional and international participants. 2005 was an auspicious year. Not only was it the International Year of Physics, commemorating Einstein''s great achievements of 1905, it also was the anniversary of Einstein''s development of General Relativity: he submitted the final form of his field equations on 25 November, 1915. Nine decades years later, around 40 Taiwan-based participants were joined by over 40 distinguished visitors from Canada, China, France, Japan, Korea, Russia, and the USA, and this volume includes many of the papers that were presented. The depth and breadth of these contributions reflect the high quality of the meeting and the development of the field in the Asia-Pacific region. Sample Chapter(s). Chapter 1: Progress in Testing Newtonian Inverse Square Law (234 KB). Contents: Experimental Tests of Gravity; Numerical Relativity; Cosmology; Astrophysics; Quantum Gravity; Classical Gravity. Readership: Graduate students and researchers in astrophysics, gravitation, cosmology and theoretical physics.

Author: Lizhen Ji
Publisher: Springer
ISBN: 3319600397
Category : Mathematics
Languages : en
Pages : 664

View

Book Description
This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.

Author: Jörg Frauendiener
Publisher: Springer
ISBN: 354033484X
Category : Science
Languages : en
Pages : 288

View

Book Description
General relativity ranks among the most accurately tested fundamental theories in all of physics. Deficiencies in mathematical and conceptual understanding still exist, hampering further progress. This book collects surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods.

Author: Abhay Ashtekar
Publisher: Springer
ISBN: 3642419925
Category : Science
Languages : en
Pages : 883

View

Book Description
The Springer Handbook of Spacetime is dedicated to the ground-breaking paradigm shifts embodied in the two relativity theories, and describes in detail the profound reshaping of physical sciences they ushered in. It includes in a single volume chapters on foundations, on the underlying mathematics, on physical and astrophysical implications, experimental evidence and cosmological predictions, as well as chapters on efforts to unify general relativity and quantum physics. The Handbook can be used as a desk reference by researchers in a wide variety of fields, not only by specialists in relativity but also by researchers in related areas that either grew out of, or are deeply influenced by, the two relativity theories: cosmology, astronomy and astrophysics, high energy physics, quantum field theory, mathematics, and philosophy of science. It should also serve as a valuable resource for graduate students and young researchers entering these areas, and for instructors who teach courses on these subjects. The Handbook is divided into six parts. Part A: Introduction to Spacetime Structure. Part B: Foundational Issues. Part C: Spacetime Structure and Mathematics. Part D: Confronting Relativity theories with observations. Part E: General relativity and the universe. Part F: Spacetime beyond Einstein.

Author: Alma L. Albujer
Publisher: Springer Nature
ISBN: 3031053796
Category : Mathematics
Languages : en
Pages : 323

View

Book Description
This proceedings volume gathers selected, revised papers presented at the X International Meeting on Lorentzian Geometry (GeLoCor 2021), virtually held at the University of Córdoba, Spain, on February 1-5, 2021. It includes surveys describing the state-of-the-art in specific areas, and a selection of the most relevant results presented at the conference. Taken together, the papers offer an invaluable introduction to key topics discussed at the conference and an overview of the main techniques in use today. This volume also gathers extended revisions of key studies in this field. Bringing new results and examples, these unique contributions offer new perspectives to the original problems and, in most cases, extend and reinforce the robustness of previous findings. Hosted every two years since 2001, the International Meeting on Lorentzian Geometry has become one of the main events bringing together the leading experts on Lorentzian geometry. In this volume, the reader will find studies on spatial and null hypersurfaces, low regularity in general relativity, conformal structures, Lorentz-Finsler spacetimes, and more. Given its scope, the book will be of interest to both young and experienced mathematicians and physicists whose research involves general relativity and semi-Riemannian geometry.