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Gravitational theoretical development supporting MOND

Chadwick, EA; Hodgkinson, TF; McDonald, GS

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Authors

TF Hodgkinson



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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