Scalar Curvature Fluctuations on the Four-Sphere

Details Scalar Curvature Fluctuations on the Four-Sphere Scalar Curvature Fluctuations on the Four-Sphere

1997-03-18

arxiv.org/abs/gr-qc/9703046v1

Phys.Lett. B401 (1997) 254-257

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, RevTeX, 2 eps figures. Submitted to Phys. Lett. B

Scientific paper

10.1016/S0370-2693(97)00397-3

Two-point functions of the scalar curvature for metric fluctuations on the four-sphere are analysed. The two-point function for points separated by a fixed distance and for metrics of fixed volume is calculated using spacetime foam methods. This result can be used for comparison between the continuum approach to quantum gravity and numerical quantum gravity on the lattice. Pacs numbers: 04.60.Gw, 04.60.Nc, 04.62.+v

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