Mathematics
Scientific paper
Nov 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977rspsa.357..381b&link_type=abstract
Royal Society (London), Proceedings, Series A, vol. 357, no. 1690, Nov. 4, 1977, p. 381-394. Research supported by the Science R
Mathematics
28
Curvature, Quantum Theory, Relativity, Space-Time Functions, Universe, Mass Distribution, Stress Tensors, Vacuum, Vectors (Mathematics)
Scientific paper
We evaluate the vacuum stress tensor for a massless scalar quantum field in a general Robertson-Walker background spacetime, and that for a massive field in the special case of the Einstein universe, using covariant point-splitting regularization. A comparison is made with previous partial results of Ford, and Dowker and Critchley. It is shown that the stress tensor expectation value is a local, geometrical object in the massless case, and its explicit form is fixed by using the known value of the conformal anomaly. The existence of a type of vacuum entropy and temperature is demonstrated for the static models with space curvature.
Bunch T. S.
Davies Paul C. W.
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