Keywords:
Gravity.
;
Electronic books.
Description / Table of Contents:
Relativity theory assumes locality, without accounting for the observer's past history. This book introduces nonlocality, or history dependence, into relativity theory. Inertia and gravitation are deeply tied, suggesting gravity may be nonlocal. The gravitational memory of past events must then be taken into account.
Type of Medium:
Online Resource
Pages:
1 online resource (251 pages)
Edition:
1st ed.
ISBN:
9780192525956
Series Statement:
International Series of Monographs on Physics Series ; v.167
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=4854100
DDC:
531/.14
Language:
English
Note:
Cover -- Preface -- Contents -- 1 Introduction -- 1.1 Lorentz Invariance -- 1.2 Hypothesis of Locality -- 1.3 General Relativity and Locality -- 1.4 Fundamental Observers -- 2 Acceleration-Induced Nonlocality -- 2.1 Accelerated Observers -- 2.2 Frequency Measurement -- 2.3 Radiating Charged Particle -- 2.4 Acceleration Scales -- 2.5 Applications of Locality -- 2.6 Bohr-Rosenfeld Principle -- 2.7 Nonlocal Ansatz -- 2.8 Nonlocal Relativity -- 2.9 Appendix: Resolvent Kernel -- 3 Acceleration Kernel -- 3.1 Local Field Determination -- 3.2 Can Light Stand Completely Still? -- 3.3 Determination of the Kernel -- 3.4 Nonlocal Field Determination -- 3.5 Confrontation with Experiment -- 3.6 Nonlocal Electrodynamics -- 3.7 Nonlocal Special Relativity -- 3.8 Nonlocal Field Equation -- 4 Toward Nonlocal Gravitation -- 4.1 Linearized Gravitational Radiation in GR -- 4.2 Uniformly Rotating Observer -- 4.3 Nonlocal Gravitational Wave Equation -- 4.4 Acceleration-Induced Nonlocality and Gravitation -- 4.5 Nonlocal Gravity: Analogy with Electrodynamics -- 5 Extension of General Relativity -- 5.1 Fundamental Observers in Minkowski Spacetime -- 5.2 Fundamental Observers in Curved Spacetime -- 5.3 Measurement of Weitzenböck's Torsion -- 6 Field Equation of Nonlocal Gravity -- 6.1 Riemannian Curvature of Spacetime -- 6.2 GRǁ: Teleparallel Equivalent of GR -- 6.3 World Function -- 6.4 Nonlocal Gravity (NLG) -- 6.5 Nonlocal GRǁ -- 6.6 Nonlocal GR -- 6.7 Effective Dark Matter -- 7 Linearized Nonlocal Gravity -- 7.1 Linear Approximation of Nonlocal Gravity -- 7.2 Causal Reciprocal Kernel -- 7.3 Linearized Field Equation with hµν,ν = 0 -- 7.4 Newtonian Limit -- 7.5 Beyond the Newtonian Limit -- 7.6 Gravitational Field of a Stationary Source -- 7.7 Light Deflection due to a Uniformly Moving Mass -- 7.8 Gravitation and Nonlocality.
,
7.9 Appendix A: Constitutive Relation of NLG -- 7.10 Appendix B: Liouville-Neumann Method -- 7.11 Appendix C: Calculation of q(|ξ|) -- 7.12 Appendix D: Light Deflection Integrals -- 8 Nonlocal Gravity and Dark Matter -- 8.1 Solar System -- 8.2 Spiral Galaxies -- 8.3 Chandra X-Ray Clusters of Galaxies -- 8.4 Virial Theorem -- 8.5 Dark Matter -- 8.6 Effective Dark Matter -- 8.7 Galaxies and Nonlocal Gravity -- 9 Linearized Gravitational Waves in Nonlocal Gravity -- 9.1 Nonlocal Wave Equation -- 9.2 Propagation of Gravitational Waves with λ ≪ λ0 -- 9.3 Dark Source -- 9.4 Gravitational Radiation Flux -- 10 Nonlocal Newtonian Cosmology -- 10.1 Nonlocal Newtonian Cosmological Model -- 10.2 Cosmological Background -- 10.3 Jeans Instability -- 10.4 Nonlocal Analog of the Zel'dovich Solution -- 10.5 An Exact Solution -- 10.6 Appendix A: Distention of Massive Early-Type Galaxies with Decreasing z -- 10.7 Appendix B: Instability of the Exact Solution -- Bibliography -- Index.
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