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. Stern
  • Published 5 March 2009
  • Physics
  • Physical Review D
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… 

Gauge Theories on a Noncommutative Poisson Manifold as Spacetime

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

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

Emergent Abelian Gauge Fields from Noncommutative Gravity

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

Noncommutative gauge theory using a covariant star product defined between Lie-valued differential forms

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

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)

References

SHOWING 1-10 OF 78 REFERENCES

Noncommutative D=4 gravity coupled to fermions

We present a noncommutative extension of Einstein-Hilbert gravity in the context of twist-deformed space-time, with a -product associated to a quite general triangular Drinfeld twist. In particular

String theory and noncommutative geometry

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally

Noncommutative AdS3 with quantized cosmological constant

We examine a recent deformation of three-dimensional anti-de Sitter gravity based on noncommutative Chern–Simons theory with gauge group U(1, 1) × U(1, 1). In addition to a noncommutative analogue of

Lorentz Invariance and the Gravitational Field

An argument leading from the Lorentz invariance of the Lagrangian to the introduction of the gravitational field is presented. Utiyama's discussion is extended by considering the 10‐parameter group

General Relativity with Spin and Torsion: Foundations and Prospects

A generalization of Einstein's gravitational theory is discussed in which the spin of matter as well as its mass plays a dynamical role. The spin of matter couples to a non-Riemannian structure in

Particlelike solutions to classical noncommutative gauge theory

We construct perturbative static solutions to the classical field equations of noncommutative $U(1)$ gauge theory for the three cases: (a) space-time noncommutativity, (b) space-space

A gravity theory on noncommutative spaces

A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter θ. The algebraic relations remain the same, whereas the

Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review

We present the state of the art regarding the relation between the physics of Quantum Black Holes and Noncommutative Geometry. We start with a review of models proposed in the literature for

Noncommutative Einstein-Maxwell pp-waves

The field equations coupling a Seiberg-Witten electromagnetic field to noncommutative gravity, as described by a formal power series in the noncommutativity parameters theta(alpha beta), is

Noncommutative supergravity in D=3 and D=4

We present a noncommutative D=3, N=1 supergravity, invariant under diffeomorphisms, local U(1,1) noncommutative \star-gauge transformations and local \star-supersymmetry. Its commutative limit is the
...