Regge calculus from a new angle
Abstract
In Regge calculus, space-time is usually approximated by a triangulation 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. These considerations could be useful for the construction of quantum gravity models with a cosmological constant.
- Publication:
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New Journal of Physics
- Pub Date:
- March 2010
- DOI:
- 10.1088/1367-2630/12/3/033010
- arXiv:
- arXiv:0907.4325
- Bibcode:
- 2010NJPh...12c3010B
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 8 pages