2+1-dimensional traversable wormholes supported by positive energy

Abstract

We revisit the shapes of the throats of wormholes, including thin-shell wormholes (TSWs) in $2+1-$dimensions. In particular, in the case of TSWs this is done in a flat $2+1-$dimensional bulk spacetime by using the standard method of cut-and-paste. Upon departing from a pure time-dependent circular shape i.e., $r=a\left(t\right)$ for the throat, we employ a dependent closed loop of the form $r=R\left(t,\theta \right),$ and in terms of $R\left(t,\theta \right)$ we find the surface energy density $\sigma$ on the throat. For the specific convex shapes we find that the total energy which supports the wormhole is positive and finite. In addition to that we analyze the general wormhole's throat. By considering a specific equation of $r=R\left(\theta \right)$ instead of $r=r_0=const.,$ and upon certain choices of functions for $R\left(\theta \right)$ we find the total energy of the wormhole to be positive.

arXiv comment8 pages, 9 figures, final version to appear in EPJC

References in corpus (10)

• Traversable wormholes: Some simple examples
• Thin-shell wormholes: Linearization stability
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Geometric structure of the generic static traversable wormhole throat
• Traversable Wormholes in (2+1) and (3+1) Dimensions with a Cosmological Constant
• General formalism for the stability of thin-shell wormholes in 2+1 dimensions
• A new class of stable $(2+1)$ dimensional thin shell wormhole
• Stability of charged thin-shell wormholes in (2 + 1) dimensions
• Flare-out conditions in static thin-shell wormholes
• Thin-shell wormholes supported by total normal matter

Cited by in corpus (12)

• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Existence of traversable wormholes in the spherical stellar systems
• Asymmetric Thin-Shell Wormholes
• Thin shells in (2+1)-dimensional F(R) gravity
• 3+1-dimensional thin-shell wormhole with deformed throat can be supported by normal matter
• Thin-Shells and Thin-Shell Wormholes in New Massive Gravity
• 2+1-dimensional wormhole from a doublet of scalar fields
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• Hypocycloidal throat for 2+1-dimensional thin-shell wormholes
• Magnetic Morris-Thorne wormhole in 2+1-dimensions
• Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory
• Note on a thin-shell wormhole in extremal Reissner-Nordström geometry