Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations
Autor: | Triantafyllopoulos, Alkiviadis, Kapsabelis, Emmanuel, Stavrinos, Panayiotis |
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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 |
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