Effective gravitational equations induced by quantum effects of a scalar field in the Bianchi type IX spaces

Autor: E. N. Kirillova
Rok vydání: 2008
Předmět:
Zdroj: Russian Physics Journal. 51:792-798
ISSN: 1573-9228
1064-8887
DOI: 10.1007/s11182-009-9119-5
Popis: The effective gravitational equations induced by quantum effects of a scalar field in the Bianchi type IX space-time are derived in the present work. The curvature tensor components and their combinations are calculated in the Bianchi type IX spaces. To estimate a one-loop effective action, the asymptotic Schwinger-DeWitt perturbative formula with consideration of terms up to the second order is used. Quantum corrections involve the fourth-order derivative of the metric; as a consequence, the background gravitational action also includes terms up to the fourth-order derivatives of the metric.
Databáze: OpenAIRE