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G\"{o}del-type universes in Palatini f(R) gravity · Around

2010

G\"{o}del-type universes in Palatini f(R) gravity

Santos, J., Reboucas, M. J., Oliveira, T. B. R. F.

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We examine the question as to whether the Palatini f(R) gravity theories permit space-times in which the causality is violated.

We show that every perfect-fluid G\"{o}del-type solution of Palatini f(R) gravity with density $\rho$ and pressure $p$ that satisfy the weak energy condition $\rho+p \geq 0$ is necessarily isometric to the G\"odel geometry, demonstrating therefore that these theories present causal anomalies in the form of closed time-like curves.
This result extends a theorem on G\"{o}del-type models to the framework of Palatini f(R) gravity theory.
We concretely examine the G\"odel-type perfect-fluid solutions in specific $f(R) = R - \alpha/R^{n}$ Palatini gravity theory, where the free parameters $\alpha$ and $n$ have been recently constrained by a diverse set of observational data.

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