Plane symmetric thin-shell wormholes: Solutions and stability

Abstract

Using the cut-and-paste procedure, we construct static and dynamic plane symmetric wormholes by surgically grafting together two spacetimes of plane symmetric vacuum solutions with a negative cosmological constant. These plane symmetric wormholes can be interpreted as domain walls connecting different universes, having planar topology, and upon compactification of one or two coordinates, cylindrical topology or toroidal topology, respectively. A stability analysis is carried out for the dynamic case by taking into account specific equations of state, and a linearized stability analysis around static solutions is also explored. It is found that thin shell wormholes made of a dark energy fluid or of a cosmological constant fluid are stable, while thin shell wormholes made of phantom energy are unstable.

Thin-shell wormholes supported by total normal matter

“…This is possible if the perturbation process occurs slowly enough, in which all the intermediate states can also be considered as static equilibrium points. Therefore the EoS after the perturbation reads (21) and…”

Thin-shell wormholes with charge in F(R) gravity

“…Stability studies of spherically symmetric thin-shell wormholes, with a linearized equation of state at the throat, have been performed under radial perturbations by several authors ( [8][9][10][11][12][13][14][15][16] and references therein). Plane and cylindrical thin-shell wormholes were also analyzed [16][17][18][19][20][21][22][23][24]. The Chaplygin gas and its generalizations a e-mail: eiroa@iafe.uba.ar b e-mail: gfigueroa@iafe.uba.ar were used to model the exotic matter supporting wormholes [25][26][27][28][29][30].…”

Noncommutative Wormholes in f(R) Gravity with Lorentzian Distribution

“…The possibility of two way travel in time becomes theoretically possible when the two regions belong to the same spacetime, such phenomenon is time machine. The wormhole spacetime has been investigated in the literature in various schemes such as a non-static axially symmetric wormhole [1], wormholes with cylindrical symmetry [2], wormholes supported by a cosmological constant [3], thin-shell wormholes [4], and electrically charged static wormholes [5] (For a review see [6]). Morris and Thorne [7] suggested the idea of a traversable wormhole suitable for travel by humans for interstellar journey and beyond.…”