Alternative actions for quantum gravity and the intrinsic rigidity of the space-time
Jun, 199621 pages
Published in:
- Nucl.Phys.B 486 (1997) 390-412
e-Print:
- hep-th/9606140 [hep-th]
Report number:
- NBI-HE-96-22
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Abstract:
Using the Steiner-Weyl expansion formula for parallel manifolds and the so called gonihedric principle we find a large class of discrete integral invariants which are defined on simplicial manifolds of various dimensions. These integral invariants include the discrete version of the Hilbert-Einstein action found by Regge and alternative actions which are linear with respect to the size of the manifold. In addition the concept of generalized deficit angles appear in a natural way and is related to higher order curvature terms. These angles may be used to introduce various aspects of rigidity in simplicial quantum gravity.Note:
- 21 pages, Latex (uses psfig.sty and pictex.sty), five figures Report-no: NBI-HE-96-22
- 02.10.Rn
- 02.40.Ky
- 04.20.Cv
- 04.60.+n
- Simplicial gravity
- Integral invariants
- Rigidity of space-time
- Membranes
- quantum gravity: simplex
- field theory: action
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