Nonlocal Gravity 1st Edition by Bahram Mashhoon ISBN 978-0198803805 0198803805
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Product details:
ISBN 10: 0198803805
ISBN 13: 978-0198803805
Author: Bahram Mashhoon
Relativity theory is based on a postulate of locality, which means that the past history of the observer is not directly taken into account. This book argues that the past history should be taken into account. In this way, nonlocality—in the sense of history dependence—is introduced into relativity theory. The deep connection between inertia and gravitation suggests that gravity could be nonlocal, and in nonlocal gravity the fading gravitational memory of past events must then be taken into account. Along this line of thought, a classical nonlocal generalization of Einstein’s theory of gravitation has recently been developed.
A significant consequence of this theory is that the nonlocal aspect of gravity appears to simulate dark matter. According to nonlocal gravity theory, what astronomers attribute to dark matter should instead be due to the nonlocality of gravitation. Nonlocality dominates on the scale of galaxies and beyond. Memory fades with time; therefore, the nonlocal aspect of gravity becomes weaker as the universe expands.
The implications of nonlocal gravity are explored in this book for gravitational lensing, gravitational radiation, the gravitational physics of the Solar System and the internal dynamics of nearby galaxies, as well as clusters of galaxies. This approach is extended to nonlocal Newtonian cosmology, where the attraction of gravity fades with the expansion of the universe. Thus far, scientists have only compared some of the consequences of nonlocal gravity with astronomical observations.
Table of 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 Approach
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 GR: Teleparallel Equivalent of GR
6.3 World Function
6.4 Nonlocal Gravity (NLG)
6.5 Nonlocal GR
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 h = 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 ŷ(||)
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 «λο
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
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Tags: Bahram Mashhoon, Nonlocal Gravity