Kinks, energy conditions and closed timelike curves

Details Kinks, energy conditions and closed timelike curves Kinks, energy conditions and closed timelike curves

2000-07-24

arxiv.org/abs/gr-qc/0007065v1

Int.J.Mod.Phys. D9 (2000) 531-541

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTex, 1 figure, to appear in IJMPD

Scientific paper

10.1142/S0218271800000475

A link between the possibility of extending a geodessically incomplete kinked spacetime to a spacetime which is geodesically complete and the energy conditions is discussed for the case of a cylindrically-symmetric spacetime kink. It is concluded that neither the strong nor the weak energy condition can be satisfied in the four-dimensional example, though the latter condition may survive on the transversal sections of such a spacetime. It is also shown that the matter which propagates quantum-mechanically in a kinked spacetime can always be trapped by closed timelike curves, but signaling connections between that matter and any possible observer can only be made of totally incoherent radiation, so preventing observation of causality violation.

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