Soldered Bundle Background for the De Sitter Top

Abstract

We prove that the mathematical framework for the de Sitter top system is the de Sitter fiber bundle. In this context, the concept of soldering associated with a fiber bundle plays a central role. We comment on the possibility that our formalism may be of particular interest in different contexts including MacDowell-Mansouri theory, two time physics and oriented matroid theory.

12 pages, Latex; some improvements introduced, reference added, typos corrected

References in corpus (2)

• Towards an Ashtekar formalism in eight dimensions
• Hamiltonian Noether theorem for gauge systems and two time physics

Cited by in corpus (4)

• Spinning particles in Schwarzschild-de Sitter space-time
• Cosmological Solutions with Torsion in a Model of de Sitter Gauge Theory of Gravity
• De Sitter spacetimes with torsion in the model of dS gauge theory of gravity
• On Torsion-free Vacuum Solutions of the Model of de Sitter Gauge Theory of Gravity (II)