Bulletin of the American Physical Society
APS April Meeting 2019
Volume 64, Number 3
Saturday–Tuesday, April 13–16, 2019; Denver, Colorado
Session X11: Exact Solutions and Mathematical Relativity
10:45 AM–12:09 PM,
Tuesday, April 16, 2019
Sheraton Room: Governor's Square 17
Sponsoring Unit: DGRAV
Chair: Sam Gralla, University of Arizona
Abstract: X11.00003 : Curvature Invariants for Lorentzian Traversable Wormholes
11:09 AM–11:21 AM
(Baylor University, Baylor University)
(Institute for Advanced Studies-Austin, Baylor University)
Gerald B. Cleaver
A process for using curvature invariants is applied as a new means to evaluate the traversability of Lorentzian wormholes. This approach was formulated by Henry, Overduin and Wilcomb for Black Holes in Reference . Curvature invariants are independent of coordinate basis, so the process is free of coordinate mapping distortions. The fourteen G'eh'eniau and Debever (GD) invariants are calculated and the non-zero, independent curvature invariant functions are plotted. Three example traversable wormhole metrics (i) thin-shell flat-face, (ii) spherically symmetric Morris and Thorne, and (iii) thin-shell Schwarzschild wormholes are investigated and are demonstrated to be traversable.
 Henry, R. C., Overduin, J. and Wilcomb K. (2016), "A New Way to See Inside Black Holes," arXiv:1512.02762v2 [gr-qc].
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