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Progress in Relativity

Progress in Relativity
Author: Calin Gheorghe Buzea
Publisher: BoD – Books on Demand
Total Pages: 267
Release: 2020-06-17
Genre: Science
ISBN: 1789853575

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This volume deals with extensions of special relativity, general relativity, and their applications in relation to intragalactic and extragalactic dynamics. The book comprises chapters authored by various researchers and edited by an expert active in the relativity research area. It provides a thorough overview of the latest research efforts by international authors on relativity, opening new possible research paths for further novel developments.


Physical Relativity

Physical Relativity
Author: Harvey R. Brown
Publisher: Oxford University Press
Total Pages: 240
Release: 2005-11-24
Genre: Language Arts & Disciplines
ISBN: 0199275831

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Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the 'principle theory' approach inspired by the logic of thermodynamics. A handful of physicists and philosophers have over the last century likewise expressed doubts about Einstein'streatment of the relativistic behaviour of rigid bodies and clocks in motion in the kinematical part of his great paper, and suggested that the dynamical understanding of length contraction and time dilation intimated by the immediate precursors of Einstein is more fundamental. Harvey Brown both examines andextends these arguments (which support a more 'constructive' approach to relativistic effects in Einstein's terminology), after giving a careful analysis of key features of the pre-history of relativity theory. He argues furthermore that the geometrization of the theory by Minkowski in 1908 brought illumination, but not a causal explanation of relativistic effects. Finally, Brown tries to show that the dynamical interpretation of special relativity defended in the book is consistent with therole this theory must play as a limiting case of Einstein's 1915 theory of gravity: the general theory of relativity.Appearing in the centennial year of Einstein's celebrated paper on special relativity, Physical Relativity is an unusual, critical examination of the way Einstein formulated his theory. It also examines in detail certain specific historical and conceptual issues that have long given rise to debate in both special and general relativity theory, such as the conventionality of simultaneity, the principle of general covariance, and the consistency or otherwise of the special theory withquantum mechanics. Harvey Brown' s new interpretation of relativity theory will interest anyone working on these central topics in modern physics.


The Evolution Problem in General Relativity

The Evolution Problem in General Relativity
Author: Sergiu Klainerman
Publisher: Springer Science & Business Media
Total Pages: 395
Release: 2012-12-06
Genre: Science
ISBN: 146122084X

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The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. Christodoulou and S. Klainerman, [Ch-KI]. We provide a new self-contained proof of the main part of that result, which concerns the full solution of the radiation problem in vacuum, for arbitrary asymptotically flat initial data sets. This can also be interpreted as a proof of the global stability of the external region of Schwarzschild spacetime. The proof, which is a significant modification of the arguments in [Ch-Kl], is based on a double null foliation of spacetime instead of the mixed null-maximal foliation used in [Ch-Kl]. This approach is more naturally adapted to the radiation features of the Einstein equations and leads to important technical simplifications. In the first chapter we review some basic notions of differential geometry that are sys tematically used in all the remaining chapters. We then introduce the Einstein equations and the initial data sets and discuss some of the basic features of the initial value problem in general relativity. We shall review, without proofs, well-established results concerning local and global existence and uniqueness and formulate our main result. The second chapter provides the technical motivation for the proof of our main theorem.


Science Progress

Science Progress
Author:
Publisher:
Total Pages: 790
Release: 1917
Genre: Research
ISBN:

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Research in Progress

Research in Progress
Author: University of North Carolina (1793-1962)
Publisher:
Total Pages: 128
Release: 1924
Genre: Research
ISBN:

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Research in Progress

Research in Progress
Author: North Carolina State University. Graduate School
Publisher:
Total Pages: 866
Release: 1920
Genre:
ISBN:

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Progress in Mathematical Relativity, Gravitation and Cosmology

Progress in Mathematical Relativity, Gravitation and Cosmology
Author: Alfonso García-Parrado
Publisher: Springer Science & Business Media
Total Pages: 457
Release: 2013-11-26
Genre: Mathematics
ISBN: 3642401570

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This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held in Guimarães, Portugal, September 2012. It features more than 70 papers on a range of topics in general relativity and gravitation, from mathematical cosmology, numerical relativity and black holes to string theory and quantum gravity. Under the title "Progress in Mathematical Relativity, Gravitation and Cosmology," ERE 2012 was attended by an exceptional international list of over a hundred participants from the five continents and over forty countries. ERE is organized every year by one of the Spanish or Portuguese groups working in this area and is supported by the Spanish Society of Gravitation and Relativity (SEGRE). This book will be of interest to researchers in mathematics and physics.


Research in Progress

Research in Progress
Author:
Publisher:
Total Pages: 208
Release: 1923
Genre: Research
ISBN:

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100 Years of Relativity

100 Years of Relativity
Author: Abhay Ashtekar
Publisher: World Scientific
Total Pages: 527
Release: 2005
Genre: Science
ISBN: 9812700986

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Thanks to Einstein''s relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century. Contributions here include summaries of radical changes in the notions of space and time that are emerging from quantum field theory in curved space-times (Ford), string theory (T Banks), loop quantum gravity (A Ashtekar), quantum cosmology (M Bojowald), discrete approaches (Dowker, Gambini and Pullin) and twistor theory (R Penrose).


Progress in Relativity, Gravitation, Cosmology

Progress in Relativity, Gravitation, Cosmology
Author: Valeri V. Dvoeglazov
Publisher: Nova Science Publishers
Total Pages: 188
Release: 2014-05-14
Genre: Quantum cosmology
ISBN: 9781613248867

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