Pitfalls in applying gravitomagnetism to galactic rotation curve modelling
Pitfalls in applying gravitomagnetism to galactic rotation curve modelling
The flatness of galaxy rotation curves at large radii is generally considered to be a significant piece of evidence in support of the existence of dark matter. Several studies have claimed that post-Newtonian corrections to the Newtonian equations of galaxy dynamics may remove (at least to some degree) the need for dark matter. A few recent studies have examined these claims, and identified errors in their reasoning. We add to this critique by giving what we consider to be particularly simple and transparent description of the errors made in these post-Newtonian calculations, some of which were of a rather technical nature, others more fundamental, e.g. the loss of the correct relativistic scaling, promoting small corrections to order unity changes. Our work reinforces the orthodoxy that post-Newtonian effects are indeed too small to significantly alter galactic rotation curves, and will hopefully serve as a useful guide for others, pointing out subtle errors that one might inadvertently make in such calculations.
dark matter, galaxy rotation curves, gravitomagnetism
Glampedakis, Kostas
a08893ef-dd87-4ccb-9d65-3fd6c40fccca
Ian Jones, David
b8f3e32c-d537-445a-a1e4-7436f472e160
22 June 2023
Glampedakis, Kostas
a08893ef-dd87-4ccb-9d65-3fd6c40fccca
Ian Jones, David
b8f3e32c-d537-445a-a1e4-7436f472e160
Glampedakis, Kostas and Ian Jones, David
(2023)
Pitfalls in applying gravitomagnetism to galactic rotation curve modelling.
Classical and Quantum Gravity, 40 (14), [147001].
(doi:10.1088/1361-6382/acdd4a).
Abstract
The flatness of galaxy rotation curves at large radii is generally considered to be a significant piece of evidence in support of the existence of dark matter. Several studies have claimed that post-Newtonian corrections to the Newtonian equations of galaxy dynamics may remove (at least to some degree) the need for dark matter. A few recent studies have examined these claims, and identified errors in their reasoning. We add to this critique by giving what we consider to be particularly simple and transparent description of the errors made in these post-Newtonian calculations, some of which were of a rather technical nature, others more fundamental, e.g. the loss of the correct relativistic scaling, promoting small corrections to order unity changes. Our work reinforces the orthodoxy that post-Newtonian effects are indeed too small to significantly alter galactic rotation curves, and will hopefully serve as a useful guide for others, pointing out subtle errors that one might inadvertently make in such calculations.
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2303.16679
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Accepted/In Press date: 9 June 2023
Published date: 22 June 2023
Additional Information:
Funding Information:
K G acknowledges support from research Grant PID2020-1149GB-I00 of the Spanish Ministerio de Ciencia e Innovación. D I J acknowledges support from the Science and Technologies Funding Council (STFC) via Grant No. ST/R00045X/1.
This is the Accepted Manuscript version of an article accepted for publication in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at DOI: 10.1088/1361-6382/acdd4a
Keywords:
dark matter, galaxy rotation curves, gravitomagnetism
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Local EPrints ID: 480483
URI: http://eprints.soton.ac.uk/id/eprint/480483
ISSN: 0264-9381
PURE UUID: fa5ddae7-767a-44db-8fcc-b54b28ffa6ab
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Date deposited: 03 Aug 2023 16:35
Last modified: 18 Mar 2024 02:50
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Author:
Kostas Glampedakis
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