@Article{Ludwig:2021:GaRoCu,
author = "Ludwig, Gerson Otto",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)}",
title = "Galactic rotation curve and dark matter according to
gravitomagnetism",
journal = "European Physical Journal C",
year = "2021",
volume = "81",
number = "2",
pages = "e186",
month = "Feb.",
abstract = "Historically, the existence of dark matter has been postulated to
resolve discrepancies between astrophysical observations and
accepted theories of gravity. In particular, the measured rotation
curve of galaxies provided much experimental support to the dark
matter concept. However, most theories used to explain the
rotation curve have been restricted to the Newtonian potential
framework, disregarding the general relativistic corrections
associated with mass currents. In this paper it is shown that the
gravitomagnetic field produced by the currents modifies the
galactic rotation curve, notably at large distances. The coupling
between the Newtonian potential and the gravitomagnetic flux
function results in a nonlinear differential equation that relates
the rotation velocity to the mass density. The solution of this
equation reproduces the galactic rotation curve without recourse
to obscure dark matter components, as exemplified by three
characteristic cases. A bi-dimensional model is developed that
allows to estimate the total mass, the central mass density, and
the overall shape of the galaxies, while fitting the measured
luminosity and rotation curves. The effects attributed to dark
matter can be simply explained by the gravitomagnetic field
produced by the mass currents.",
doi = "10.1140/epjc/s10052-021-08967-3",
url = "http://dx.doi.org/10.1140/epjc/s10052-021-08967-3",
issn = "1434-6044",
language = "en",
targetfile = "ludwig_galactic.pdf",
urlaccessdate = "20 maio 2024"
}