# Particle Classification and Dynamics in GL(2,C) Gravity

@article{Stern2009ParticleCA, title={Particle Classification and Dynamics in GL(2,C) Gravity}, author={A Stern}, journal={Physical Review D}, year={2009}, volume={79}, pages={105017} }

A relatively simple approach to noncommutative gravity utilizes the gauge theory formulation of general relativity and involves replacing the Lorentz gauge group by a larger group. This results in additional field degrees of freedom which either must be constrained to vanish in a nontrivial way or require physical interpretation. With the latter in mind, we examine the coupling of the additional fields to point particles. Nonstandard particle degrees of freedom should be introduced in order to…

## 6 Citations

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We construct a model of internal gauge theory deflned on a noncommutative Poisson manifold considered as space-time. A covariant star product between Lie algebra valued difierential forms is…

### Gauge Theories on a Noncommutative Poisson Manifold as Spacetime

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We construct a model of internal gauge theory defined on a noncommutative Poisson manifold considered as space-time. A covariant star product between Lie algebra valued differential forms is…

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We construct exact solutions to noncommutative gravity following the formula- tion of Chamseddine and show that they are in general accompanied by Abelian gauge fields which are first order in the…

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We develop an internal gauge theory using a covariant star product. The space-time is a symplectic manifold endowed only with torsion but no curvature. It is shown that, in order to assure the…

### A Clifford Cl(5, C) Unified Gauge Field Theory of Conformal Gravity, Maxwell and U(4) × U(4) Yang-Mills in 4D

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A Clifford Cl(5, C) Unified Gauge Field Theory of Conformal Gravity, Maxwell and U(4) × U(4) Yang-Mills in 4D is rigorously presented extending our results in prior work. The $${Cl(5, C) = Cl(4, C)…

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