Reference frames in general relativity and the galactic rotation curves

Costa, L. Filipe O.; Natário, José; Frutos-Alfaro, F.; Soffel, Michael

doi:10.1103/physrevd.108.044056

Cited by 3 publications

(1 citation statement)

References 117 publications

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“…Ω = const) dust [24]. A recent analysis by Costa et al [25] shows that this solution contains singularities along the axis, namely a pair of NUT rods and a cosmic string; we remember that a Newman-Unti-Tamburino (NUT) spacetime is a solution of Einstein's equations that generlises the Schwarzschild solution since, in addition to the mass parameter, it contains a second parameter, the so-called NUT charge, that can be interpreted as gravitomagnetic monopole (see e.g. Jefremov and Perlick [26] and references therein).…”

Section: Jcap02(2024)025 4 Discussion and Conclusionmentioning

confidence: 95%

Stationary rotating and axially symmetric dust systems as peculiar General Relativistic objects

Ruggiero

2024

J. Cosmol. Astropart. Phys.

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We study an exact solution of Einstein's equations describing a self-gravitating system, made of dust, distributed with axial symmetry and in stationary rotation, and we prove that this type of system has no Newtonian analogue. In a low-energy limit, its existence depends on the solution of a Grad-Shafranov equation in vacuum which can be interpreted as a Laplace equation for the toroidal component of the gravitomagnetic potential; in particular, in this system the relativistic rotational effects are of the order of magnitude of Newtonian ones. We therefore argue that this exact solution should contain singularities and discuss the possible consequences of using such a system as simplified model for galactic dynamics.

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Section: Jcap02(2024)025 4 Discussion and Conclusionmentioning

confidence: 95%

Stationary rotating and axially symmetric dust systems as peculiar General Relativistic objects

Ruggiero

2024

J. Cosmol. Astropart. Phys.

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Pitfalls in applying gravitomagnetism to galactic rotation curve modelling

Glampedakis

Jones

2023

Class. Quantum Grav.

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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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Relativistic effects cannot explain galactic dynamics

Costa,

Natário

2024

Phys. Rev. D

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Reference frames in general relativity and the galactic rotation curves

Cited by 3 publications

References 117 publications

Stationary rotating and axially symmetric dust systems as peculiar General Relativistic objects

Stationary rotating and axially symmetric dust systems as peculiar General Relativistic objects

Pitfalls in applying gravitomagnetism to galactic rotation curve modelling

Relativistic effects cannot explain galactic dynamics

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