Boosts in an arbitrary direction and maximal causal velocities in a deformed Minkowski space
High Energy Physics - Theory
2007-05-23 v1 General Relativity and Quantum Cosmology
Abstract
We discuss boosts in a deformed Minkowski space, i.e. a four-dimensional space-time with metric coefficients depending on non-metric coordinates (in particular on the energy). The general form of a boost in an arbitrary direction is derived in the case of space anisotropy. Two maximal 3-vector velocities are mathematically possible, an isotropic and an anisotropic one. However, only the anisotropic velocity has physical meaning, being invariant indeed under deformed boosts.
Keywords
Cite
@article{arxiv.hep-th/0505032,
title = {Boosts in an arbitrary direction and maximal causal velocities in a deformed Minkowski space},
author = {Fabio Cardone and Alessio Marrani and Roberto Mignani},
journal= {arXiv preprint arXiv:hep-th/0505032},
year = {2007}
}
Comments
24 pages. Slightly improved version with respect to the published one (some misprints corrected, Ref.s added, Eq.s revised, comments made)