Nonlocal Gravity Simulates Dark Matter

Abstract

A nonlocal generalization of Einstein's theory of gravitation is constructed within the framework of the translational gauge theory of gravity. In the linear approximation, the nonlocal theory can be interpreted as linearized general relativity but in the presence of "dark matter" that can be simply expressed as an integral transform of matter. It is shown that this approach can accommodate the Tohline-Kuhn treatment of the astrophysical evidence for dark matter.

5 pages RevTex, v3: new material and references added, abstract somewhat extended

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• Nonlocal Gravity: The General Linear Approximation
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• Gauge Theory of Gravity and Spacetime
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• Conservation of energy-momentum of matter as the basis for the gauge theory of gravitation
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• Thermodynamic Gravity and the Schrodinger Equation
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• Dynamic Dark Energy from the Local Limit of Nonlocal Gravity
• Galaxy rotation curves in the $\mu$-deformation based approach to dark matter
• Anisotropic Cosmology in the Local Limit of Nonlocal Gravity
• An Improved Cosmological Model
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• Effectively nonlocal metric-affine gravity
• Taxonomy for Physics Beyond Quantum Mechanics
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• Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity
• Local Limit of Nonlocal Gravity: Cosmological Perturbations
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• Generalized nonlocal gravity framework based on Poincaré gauge theory
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• Dwarf galaxies in non-local gravity
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