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Description
In this work, we investigate various BTZ spacetimes [1] affected by linearized spherically symmetric perturbations of the metric analyzing the effects in the causal structure. In particular, we found that null rays can reach disconnected causal regions in the original background if there exists a violation of the averaged null energy condition (ANEC), generating a traversable wormhole [2]. The traversability of such wormholes is supported by recent ideas constructed in the context of the AdS/CFT Correspondence [3]. Both causal inconsistencies (closed time-like curves, time-traveling, warp drives, etc.) and exotic matter are absent in this specific setup.
References:
[1] Banados, M., Teitelboim, C., & Zanelli, J. (1992). Black hole in three-dimensional spacetime. Physical Review Letters, 69(13), 1849.
[2] Morris, M. S., Thorne, K. S., & Yurtsever, U. (1988). Wormholes, time machines, and the weak energy condition. Physical Review Letters, 61(13), 1446.
[3] Gao, P., Jafferis, D. L., & Wall, A. C. (2017). Traversable wormholes via a double trace deformation. Journal of High Energy Physics, 2017(12), 151; Caceres, E., Misobuchi, A. S., & Xiao, M. L. (2018). Rotating traversable wormholes in AdS. Journal of High Energy Physics, 2018(12), 5.