@InProceedings{RochaMariMalhLudw:2019:ExGrAp,
               author = "Rocha, Fl{\'a}via and Marinho J{\'u}nior, Rubens and Malheiro, 
                         Manuel and Ludwig, Gerson Otto",
          affiliation = "{Instituto Tecnol{\'o}gico da Aeron{\'a}utica (ITA)} and 
                         {Instituto Tecnol{\'o}gico da Aeron{\'a}utica (ITA)} and 
                         {Instituto Tecnol{\'o}gico da Aeron{\'a}utica (ITA)} and 
                         {Instituto Nacional de Pesquisas Espaciais (INPE)}",
                title = "Extended gravitomagnetism applied to mercury perihelium advance 
                         and bending of light",
                 year = "2019",
         organization = "Encontro naiconal de F{\'{\i}}sica de Part{\'{\i}}culas e 
                         Campos, 40.",
             abstract = "The gravitoelectromagnetic (GEM) equations were developed in 1928 
                         by Joseph Lense and Hans Thirring, which used the linearized 
                         Einstein field equations valid for a weak field scheme along with 
                         a low velocity approximation. From this linearization it is 
                         possible to define four equations analogous to Maxwells equations, 
                         in which the mass is the perfect analogue of the electric charge. 
                         This leads to a new concept in which a current of mass can 
                         generate a gravitomagnetic field similar to the magnetic field 
                         induced by a charge current in electromagnetism. In the Newtonian 
                         limit terms of 1/c3 are neglected, while in the of gravitomagnetic 
                         approximation the terms of order 1/c4 are neglected and for static 
                         sources this theory reduces to the Newtonian case which does not 
                         gives the correct value for the perihelion advance. However, in 
                         this work will be presented corrections up to 1/c4 and within this 
                         approximation we get 4/3 of the correct value for the Mercurys 
                         perihelion advance and the exact value for the deflection of 
                         light, thus showing that higher order corrections approach the 
                         general relativistic result. We called the expansion up to order 
                         1/c4 of extended gravitomagnetism.",
  conference-location = "Campos do Jord{\~a}o, SP",
      conference-year = "01-05 set.",
             language = "en",
        urlaccessdate = "23 maio 2024"
}