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. Key Topics ́ð Historical origins of the spacetime notion ́ð Basic ideas of special and general relativity ́ð Nature of time and gravity ́ð Mathematical structures ́ð Physical and astrophysical implications ́ð Observational status of the two relativity theories, ́ð Various approaches to unify general relativity and quantum physics. Features ́ð Concise, clear and coherent presentation ́ð Research and application-oriented ́ð Includes recent developments ́ð Exhaustive references to approved data ́ð All chapters with summaries ́ð A resource for graduate students, researchers and teachers in the field

Abhay Ashtekar and Vesselin Petkov

Ashtekar, Abhay; Petkov, Vesselin

Spektrum Akademischer Verlag. in Springer-Verlag GmbH

Springer Berlin Heidelberg, Berlin, Heidelberg

Steinkopff. in Springer-Verlag GmbH

Springer London, Limited

EBL-Schweitzer, Online-ausg, Berlin, Heidelberg, 2014

1, Berlin, Heidelberg, 2014

Springer Handbooks, 2014

Germany, Germany

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. Key Topics? Historical origins of the spacetime notion? Basic ideas of special and general relativity? Nature of time and gravity? Mathematical structures? Physical and astrophysical implications? Observational status of the two relativity theories,? Various approaches to unify general relativity and quantum physics. Features? Concise, clear and coherent presentation? Research and application-oriented? Includes recent developments? Exhaustive references to approved data? All chapters with summaries? A resourse for graduate students, researchers and teachers in the field

3.2 Lorentz Transformations in Two Dimensions3.3 Inertial Coordinates in Four Dimensions; 3.4 Vectors; 3.5 Proper Time; 3.6 Four-Acceleration; 3.7 Visual Observation; 3.8 Operational Definition of Mass; 3.9 Maxwell's Equations; References; 4 Acceleration and Gravity: Einstein's Principle of Equivalence; 4.1 Prologue; 4.2 The Role of the Equivalence Principle in General Relativity; 4.3 Experimental Tests; 4.4 Relativistic Definition of Acceleration; 4.5 Accelerating Frame in Minkowski Spacetime; 4.6 Concluding Remarks; References; 5 The Geometry of Newton's and Einstein's Theories

Preface; About the Editors; List of Authors; Contents; List of Abbreviations; Part A Introduction to Spacetime Structure; 1 From Æther Theory to Special Relativity; 1.1 Space and Time in Classical Mechanics; 1.2 Relativity in Classical Mechanics; 1.3 The Theory of Light and Absolute Motion; 1.4 Einstein's Special Relativity; 1.5 Relativistic Mechanics; 1.6 Conclusion; References; 2 The Historical Origins of Spacetime; 2.1 Poincaré's Theory of Gravitation; 2.2 Minkowski's Path to Spacetime; 2.3 Spacetime Diagrams; References; 3 Relativity Today; 3.1 Operational Definitions

7.4 Rigid Motion of a Continuous Medium7.5 Rate of Strain Tensor; 7.6 Examples of Rigid Motion; 7.7 Rigid Motion Without Rotation; 7.8 Rigid Rotation; 7.9 Generalized Uniform Acceleration and Superhelical Motions; 7.10 A Brief Conclusion; References; 8 Physics as Spacetime Geometry; 8.1 Foundational Knowledge and Reality of Spacetime; 8.2 Four-Dimensional Physics as Spacetime Geometry; 8.3 Propagation of Lightin Noninertial Reference Frames in Spacetime; References; 9 Electrodynamics of Radiating Charges in a Gravitational Field; 9.1 The Dynamics of a Charged Particle

5.1 Guide to Chapter5.2 Geometry; 5.3 Newtonian Mechanics I; 5.4 Newtonian Mechanics II; 5.5 Special Relativity; 5.6 Absolute and Dynamical Variables; Covariance; 5.7 General Relativity; 5.8 Cosmology; References; 6 Time in Special Relativity; 6.1 The Spacetime of Prerelativistic Physics; 6.2 The Spacetime Structure of Special Relativity; 6.3 Philosophical Issues; References; Part B Foundational Issues; 7 Rigid Motion and Adapted Frames; 7.1 Rigid Rod in Special Relativity; 7.2 Frame for an Accelerating Observer; 7.3 General Motion of a Continuous Medium

9.2 Schott Energy as Electromagnetic Field Energy9.3 Pre-Acceleration and Schott Energy; 9.4 Energy Conservation During Runaway Motion; 9.5 Schott Energy and Radiated Energy of a Freely Falling Charge; 9.6 Noninvariance of Electromagnetic Radiation; 9.7 Other Equations of Motion; 9.8 Conclusion; References; 10 The Nature and Origin of Time-Asymmetric Spacetime Structures; 10.1 The Time Arrow of Gravitating Systems; 10.2 Black Hole Spacetimes; 10.3 Thermodynamicsand Fate of Black Holes; 10.4 Expansion of the Universe; 10.5 Quantum Gravity; References

This new Springer handbook has authoritative, detailed chapters addressing the physics, mathematics, experimental evidence, and cosmological implications of the profound idea that gravity is not a force but is caused by the curvature of space-time

11 Teleparallelism: A New Insight into Gravity

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