Chronology Protection in Generalized Godel Spacetime

TL;DR

This paper investigates the behavior of a scalar field in generalized Godel spacetime and finds potential divergences at the chronology horizon, supporting the idea that nature prevents time travel paradoxes.

Contribution

It provides a detailed calculation of the effective action and stress energy tensor in generalized Godel spacetime using zeta-function regularization, supporting the chronology protection conjecture.

Findings

Renormalized stress energy tensor may diverge at the chronology horizon

Supports the chronology protection conjecture

Uses zeta-function regularization for effective action calculation

Abstract

The effective action of a free scalar field propagating in the generalized Godel spacetime is evaluated by the zeta-function regularization method. From the result we show that the renormalized stress energy tensor may be divergent at the chronology horizon. This gives a support to the chronology protection conjecture.