Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations

Autor: Triantafyllopoulos, Alkiviadis, Kapsabelis, Emmanuel, Stavrinos, Panayiotis
Rok vydání: 2020
Předmět:
Zdroj: Eur. Phys. J. Plus 135 (2020) 557
Druh dokumentu: Working Paper
DOI: 10.1140/epjp/s13360-020-00570-x
Popis: 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.
Comment: 13 pages. arXiv admin note: text overlap with arXiv:2006.05913
Databáze: arXiv