Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations
General Relativity and Quantum Cosmology
2020-07-23 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2004.00356,
title = {Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations},
author = {Alkiviadis Triantafyllopoulos and Emmanuel Kapsabelis and Panayiotis Stavrinos},
journal= {arXiv preprint arXiv:2004.00356},
year = {2020}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:2006.05913