@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"
}