Mixed Boundary Conditions in Euclidean Quantum Gravity

Details Mixed Boundary Conditions in Euclidean Quantum Gravity Mixed Boundary Conditions in Euclidean Quantum Gravity

1995-07-02

arxiv.org/abs/gr-qc/9506092v1

Class.Quant.Grav. 12 (1995) 2715-2722

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, plain-tex

Scientific paper

10.1088/0264-9381/12/11/004

This paper studies a new set of mixed boundary conditions in Euclidean quantum gravity. These involve, in particular, Robin boundary conditions on the perturbed 3-metric and hence lead, by gauge invariance, to Robin conditions on the whole ghost 1-form. The corresponding trace anomaly is evaluated in the case of flat Euclidean 4-space bounded by a 3-sphere. In general, this anomaly differs from the ones resulting from other local or non-local boundary conditions studied in the recent literature.

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