Gravitational theoretical development supporting MOND

Chadwick, EA; Hodgkinson, TF; McDonald, GS

Abstract

Conformal geometry is considered within a general relativistic framework. An invariant distant for proper time is defined and a parallel displacement is applied in the distorted space-time, modifying Einstein’s equation appropriately. A particular solution is introduced for the covariant acceleration potential that matches the observed velocity distribution at large distances from the Galactic Center, i.e. modified Newtonian dynamics. This explicit solution of a general framework that allows both curvature and explicit local expansion of space-time, thus reproduces the observed flattening of galaxys’ rotation curves without the need to assume the existence of dark matter. The large distance expansion rate is found to match the speed of a spherical shock wave.

Citation

Chadwick, E., Hodgkinson, T., & McDonald, G. (2013). Gravitational theoretical development supporting MOND. Physical Review D - Particles, Fields, Gravitation and Cosmology, 88(024036), https://doi.org/10.1103/PhysRevD.88.024036

• Journal Article Type: Article
• Publication Date: Jul 23, 2013
• Deposit Date: Aug 8, 2014
• Publicly Available Date: Apr 5, 2016
• Journal: Physical Review D (particles, fields, gravitation, and cosmology)
• Print ISSN: 1550-7998
• Electronic ISSN: ISSN-1550-2368
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 88
• Issue: 024036
• DOI: https://doi.org/10.1103/PhysRevD.88.024036
• Publisher URL: http://dx.doi.org/10.1103/PhysRevD.88.024036
• Related Public URLs: http://journals.aps.org/prd/
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