https://doi.org/10.1140/epjp/s13360-020-00570-x
Regular Article
Gravitational field on the Lorentz tangent bundle: generalized paths and field equations
1
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
Received:
1
April
2020
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
