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
Presenter:
Brandon Mattingly
(Baylor University)
Authors:
Brandon Mattingly
(Baylor University)
Abinash Kar
(Baylor University)
MD Ali
(Baylor University)
Andrew Baas
(Baylor University)
Caleb Elmore
(Baylor University)
Cooper Watson
(Baylor University, Baylor University)
Bahram Shakerin
(Baylor University)
Eric Davis
(Institute for Advanced Studies-Austin, Baylor University)
Gerald B. Cleaver
(Baylor University)
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 [1]. 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.
[1] 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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