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: X11.00005 : Properties of Wormhole Solutions of Einstein’s field equations for the Levi-Civita metric
11:33 AM–11:45 AM
View Presentation Abstract
Cooper K Watson
Cooper K Watson
Eric W Davis
(Institute for Advanced Studies at Austin)
CASPER-Center for Astrophysics Space Physics and Engineering Research, EUCOS-Early Universe Cosmology and Strings
Previous investigations of the Levi-Civita (LC) Effect  in the polarizable vacuum have shown that the spacetime geometry of the spatial part of the LC metric  describes a three-metric of a hypercylinder S2 x Ɍ that can be interpreted as a special class of wormhole . This hypercylinder metric has a position dependent gravitational potential possessing no asymptotically flat region, no flared-out wormhole mouth and no wormhole throat. From the Einstein field equations, we derive the non-trivial curvature invariants of a LC metric. We examine these curvature invariants to determine the similarities and differences of the LC metric to the better known metrics of Lorentzian Traversable Wormholes .
 H.E. Puthoff, Claudio Maccone, E.W. Davis, “Levi-Civita Effect in the polarizable vacuum (PV) representation of general relativity,” arXiv:0403064 [physics.gen-ph].
 M. Morris and K. Thorn, Am. J. Phys. 56 (1988) 395.
 C. Maccone, “SETI Via Wormholes,” Proc. 47th Intern’l Astronautical Fed. (IAF) Congress, Beijing, 1996.
 B. Mattingly, A. Kar, M.D. Ali, A. Baas, C. Elmore, C. Watson, B. Shakerin, E. Davis, G. Cleaver, “Curvature Invariants for Lorentzian Traversable Wormholes,” arXiv:1806.10985[gr-gc].
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