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arXiv · 2004.00356

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

Alkiviadis Triantafyllopoulos·Emmanuel Kapsabelis·Panayiotis Stavrinos
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Abstract

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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Alkiviadis Triantafyllopoulos, Emmanuel Kapsabelis, Panayiotis Stavrinos. 2020-04-01. Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations. https://doi.org/10.1140/epjp/s13360-020-00570-x

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