This article is cited in 19 papers

Vilkovisky effective action in quantum gravity with matter

S. D. Odyntsov


Abstract: The single-loop Vilkovisky effective action in Einstein quantum gravity with matter in de Sitter space and in $R^2$ gravity with matter in flat space is obtained. It is shown that in de Sitter space the obtained effective action contains an imaginary part, indicating, in general, the presence of vacuum instability.

Received: 10.11.1988

 English version: Theoretical and Mathematical Physics, 1990, 82:1, 45–51

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