Mixed boundary conditions in Euclidean quantum gravity
Abstract
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.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- November 1995
- DOI:
- 10.1088/0264-9381/12/11/004
- arXiv:
- arXiv:gr-qc/9506092
- Bibcode:
- 1995CQGra..12.2715E
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 17 pages, plain-tex