Gravitational field on the Lorentz tangent bundle: generalized paths and field equations
Section of Astrophysics, Astronomy and Mechanics, Department of Physics, National and Kapodistrian University of Athens, Panepistimiopolis, 15784, Athens, Greece
2 Department of Mathematics, National and Kapodistrian University of Athens, Panepistimiopolis, 15784, Athens, Greece
Accepted: 29 June 2020
Published online: 10 July 2020
We investigate the dynamics of gravitational field and particles in a generalized framework of a Lorentz tangent bundle. By variating an appropriate action for each case, we obtain generalized forms of paths and generalized field equations for a Sasaki-type metric. We show that Stokes theorem is modified with respect to general relativity due to local anisotropy and the presence of a nonlinear connection which induces an adapted basis in our space.
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