Abstract
AbstractWe study the particle trajectories in the recently proposed five dimensional warped (generalized) Ellis–Bronnikov spacetime (5D-WGEB) (which does not require exotic matter) as well as it’s four dimensional counterpart (4D-GEB) in detail and conduct a comparative study. Analytical approach provides conditions which determines three types of trajectories (trapped, returning and crossing) for both 4D and 5D spacetimes. Notably in 5D geometry existence of trapped trajectories become highly sensitive to the initial conditions. We have solved the timelike geodesic equations numerically and presented the trajectories graphically along with corresponding geodesic potentials. We thus distinguished the roles of the so-called wormhole parameter and the warping factor regarding their effects on the trajectories and embedding as such. Interestingly, the 5D-WGEB model shows the localization of massive particles around the location of the brane for growing warp factor and runaway trajectories for decaying warp factor.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference98 articles.
1. M. Visser, Lorentzian Wormholes: From Einstein to Hawking (AIP Press, New York, 1995)
2. F.S.N. Lobo (ed.), Wormholes, Warp Drives and Energy Conditions (Springer, New York, 2017)
3. A. Einstein, N. Rosen, The particle problem in the general theory of relativity. Phys. Rev. 48, 73–77 (1935)
4. J.A. Wheeler, On the nature of quantum geometrodynamics. Ann. Phys. 2, 604–614 (1957)
5. M.D. Kruskal, Maximal extension of Schwarzschild metric. Phys. Rev. 119, 1743–1745 (1960)