Regge calculus from a new angle

@article{Bahr2010ReggeCF,
  title={Regge calculus from a new angle},
  author={B. Bahr and B. Dittrich},
  journal={New Journal of Physics},
  year={2010},
  volume={12},
  pages={033010}
}
  • B. Bahr, B. Dittrich
  • Published 2010
  • Physics
  • New Journal of Physics
  • In Regge calculus, space-time is usually approximated by a tri- angulation with flat simplices. We present a formulation using simplices with constant sectional curvature adjusted to the presence of a cosmological constant. As we will show, such a formulation allows us to replace the length variables by three- or four-dimensional dihedral angles as basic variables. Moreover, we will introduce a first-order formulation, which, in contrast to using flat simplices, does not require any constraints… CONTINUE READING
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    References

    SHOWING 1-10 OF 37 REFERENCES
    Variation of Area Variables in Regge Calculus
    • 12
    • PDF
    First order Regge calculus
    • 54
    • Highly Influential
    • PDF
    Phase space descriptions for simplicial 4D geometries
    • 114
    • PDF
    Area Regge calculus and discontinuous metrics
    • 24
    • PDF
    Constraints on area variables in Regge calculus
    • 25
    • PDF
    Area?angle variables for general relativity
    • 121
    • PDF
    Improved and Perfect Actions in Discrete Gravity
    • 113
    • PDF
    A note on area variables in Regge calculus
    • 74
    • PDF