Abstract

Many authors have published in the field of relativistic fluid mechanics (Von LAUE, 1911) (HALBWACHS, 1960) (PICHON, 1965) (LICHNEROWICZ, 1966) (BRUHAT, 1966) (MARLE, 1969) (ARZELIES, 1971) (MAHJOUB, 1971) (REZZOLLA et al., 2013) (DISVONZI, 2014) (DERRADI et al., 2016). However, the demonstrations carried out are subject to caution, either due to errors, or by the use of the BOLTZMANN equation or the principle of least action associated with the Lagrangian (FONTEIX et al., 2020). The conference presented at the previous SFGP congress (CAMARGO et al., 2019) was based on the results of a publication (FONTEIX et al., 2020). The aim was to write the energy, momentum and matter balances in special relativity, for continuous fluid mixtures (ARZELIES, 1971). Contrary to custom, these assessments were demonstrated using 2 principles. The first is well known, it is the inseparability of space and time during a change of inertial frame (MINKOWSKI, 1907). The second is our original proposal: in the Tangent Inertial Frame of a flat space-time, the equations of the relativistic dynamics of continuous fluid mixtures and those of classical physics are identical. Thanks to this, we were able to integrate relativistic gravitation (BRAGINSKY et al., 1992) (Mc DONALD, 1997) (TARTAGLIA et al., 2004) in flat space-time (not curved) and electromagnetism. However, we had not considered nuclear reactions and quantum phenomena (SCHULMAN, 1980), nor approached relativistic thermodynamics (STRUCHTRUP, 1998). We will not do it more here, but we will see in the present conference if it is possible, based on the previous results, to make experiments whose results differ significantly from those carried out on earth, namely experiments carried out in the fastest usable vehicle currently available: the International Space Station (ISS).

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