The boundary of Gödel's spacetime and the chronology protection conjecture

P. Pitanga

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arXiv · 1201.1129

The boundary of Gödel's spacetime and the chronology protection conjecture

P. Pitanga

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Abstract

We present a homogenous anisotropic conformal spacetime manifold that provide an example of Hawking's chronology protection conjecture in three-dimensional gravity theory. The solution is based upon the fact that the seven-dimensional group of the automorphism of the Heisenberg motion group H1{\times}U(1), modulo discrete sub-group Γ, is the symmetry group of the sub-Riemannian (SR)- manifold, boundary of the Cauchy-Riemann (CR)-manifold, allowing the existence of positive mass, momentum, angular-momentum and timelike-translation. It is shown that many mirror symmetric self-similar Gödel's surfaces are hidden behind a Cauchy spacelike surface so that causality violation is not visible from outside.

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P. Pitanga. 2012-01-09. The boundary of Gödel's spacetime and the chronology protection conjecture. https://arxiv.org/abs/1201.1129

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