Erratum: Imparting to a Bianchi type II space-time [J. Math. Phys. <b>2</b>
                  <b>7</b>, 417 (1986)]

Rebouças, M. J.; D'Olival, J. B. S.

doi:10.1063/1.526992

Cited by 1 publication

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“…Apart from the perfect fluid that gave rise to the original Gödel solutions, extra fields, i.e. vector [4] [5] [6], scalar [7], spinor [8] (and their combinations [9] [10] [11]) and even tachyon fields [12], were gradually introduced. Higher-derivative gravitational terms were also considered in an attempt to introduce quantum corrections to Einstein's theory of gravity [13].…”

Section: Introductionmentioning

confidence: 99%

Gödel-type universes in string-inspired charged gravity

Kanti

Vayonakis²

1999

Phys. Rev. D

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We consider a string-inspired, gravitational theory of scalar and electromagnetic fields and we investigate the existence of axially-symmetric, Gödel-type cosmological solutions. The neutral case is studied first and an "extreme" Gödel-type rotating solution, that respects the causality, is determined. The charged case is considered next and two new configurations for the, minimally-coupled to gravity, electromagnetic field are presented. Another configuration motivated by the expected distribution of currents and charges in a rotating universe is studied and shown to lead to a Gödel-type solution for a space-dependent coupling function. Finally, we investigate the existence of Gödel-type cosmological solutions in the framework of the one-loop corrected superstring effective action and we determine the sole configuration of the electromagnetic field that leads to such a solution. It turns out that, in all the charged cases considered, Closed Timelike Curves do appear and the causality is always violated.

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