Quantum effects in a rotating spacetime
Eugen Radu (Faculty of Physics, Albert-Ludwigs-University, Freiburg,, Germany), Dumitru Astefanesei (Department of Physics, McGill University,, Montreal, Canada)
TL;DR
This paper investigates quantum scalar fields in G"odel spacetime, deriving key quantities and concluding that quantum effects cannot resolve causality violations inherent in this rotating universe model.
Contribution
It provides explicit calculations of the effective action and field fluctuations in G"odel spacetime, showing quantum effects do not eliminate causality violations.
Findings
Quantum effects do not remove causality violations.
Explicit formulas for effective action and fluctuations are derived.
Quantum scalar fields are analyzed in a rotating spacetime context.
Abstract
The behavior of a arbitrary coupled quantum scalar field is studied in the background of the G\"odel spacetime. Closed forms are derived for the effective action and the vacuum expectation value of quadratic field fluctuations by using -function regularization. Based on these results, we argue that causality violation presented in this spacetime can not be removed by quantum effects.
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