@TechReport{Ludwig:2020:VaFo,
               author = "Ludwig, Gerson Otto",
                title = "Extended gravitoelectromagnetism. I. Variational formulation",
          institution = "Instituto Nacional de Pesquisas Espaciais",
                 year = "2020",
                 type = "RPQ",
               number = "INPE-18382-RPQ/941",
              address = "S{\~a}o Jos{\'e} dos Campos",
                 note = "{Conv{\^e}nio INPE/CNEN.}",
             keywords = "gravitoeletromagnetismo, princ{\'{\i}}pio variacional, fluido 
                         relativ{\'{\i}}stico, equa{\c{c}}{\~o}es de movimento.",
             abstract = "Gravitoelectromagnetic (GEM) field theory is considered in the 
                         framework of Hamilton's principle. A variational formulation based 
                         on this principle describes the dynamics of a fully-relativistic 
                         perfect fluid in the presence of the gravitoelectromagnetic field 
                         in at space, leading to the de nition of the fluid and field 
                         energy-momentum tensors. A fully relativistic Cauchy invariant for 
                         a compressible uid immersed in the gravitoelectromagnetic field is 
                         demonstrated. The gravitoelectromagnetic uid equations of motion 
                         are written in covariant form suited for calculating higher-order 
                         relativistic eects. The integral form of the conservation theorems 
                         is presented, as well as the equations that describe the 
                         excitation of gravitoelectromagnetic waves.",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)}",
             language = "en",
                pages = "30",
                  ibi = "8JMKD3MGP3W34R/43QQHDH",
                  url = "http://urlib.net/ibi/8JMKD3MGP3W34R/43QQHDH",
           targetfile = "publicacao.pdf",
        urlaccessdate = "09 maio 2024"
}