2010/08/31 by Sergiu I. Vacaru, Sergiu I Vacaru
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Brane cosmology #General relativity #Geometric Analysis and Curvature Flows #Gravitation #Gravitational field #Lorentz covariance #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Observable #Phenomenology (philosophy) #Quantum gravity #Spacetime #gr-qc #hep-th #math-ph #math.DG #math.MP
paper · pdf · doi:10.1088/0264-9381/28/21/215001
published as Class. Quant. Grav.28:215991, 2011 · latex2e, 11pt, 34 pages, the version accepted to Class. Quant. Grav
arxiv created 2011/08/22 · openalex publication_date 2011/09/20 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A consistent theory of quantum gravity (QG) at Planck scale almost sure contains manifestations of Lorentz local symmetry violations (LV) which may be detected at observable scales. This can be effectively described and classified by models with nonlinear dispersions and related Finsler metrics and fundamental geometric objects (nonlinear and linear connections) depending on velocity/ momentum variables. We prove that the trapping brane mechanism provides an accurate description of gravitational and matter field phenomena with LV over a wide range of distance scales and recovering in a systematic way the general relativity (GR) and local Lorentz symmetries. In contrast to the models with extra spacetime dimensions, the Einstein-Finsler type gravity theories are positively with nontrivial nonlinear connection structure, nonholonomic constraints and torsion induced by generic off-diagonal coefficients of metrics, and determined by fundamental QG and/or LV effects.