Static phantom wormholes of finite size

Abstract

In this paper we derive new static phantom traversable wormholes by assuming a shape function with a quadratic dependence on the radial coordinate r. We mainly focus our study on wormholes sustained by exotic matter with positive energy density (as seen by any static observer) and a variable equation of state $p_r/\rho <-1$, dubbed phantom matter. Among phantom wormhole spacetimes extending to infinity, we show that a quadratic shape function allows us to construct static spacetimes of finite size, composed by a phantom wormhole connected to an anisotropic spherically symmetric distribution of dark energy. The wormhole part of the full spacetime does not fulfill the dominant energy condition, while the dark energy part does.

To be published in Physical Review D; 9 pages; 8 figures

References in corpus (4)

• New asymptotically flat phantom wormhole solutions
• N-dimensional static and evolving Lorentzian wormholes with cosmological constant
• Evolving Lorentzian wormholes supported by phantom matter and cosmological constant
• Evolving Lorentzian wormholes supported by phantom matter with constant state parameters

Cited by in corpus (4)

• Static and spherically symmetric wormholes in metric-affine theories of gravity
• Asymptotically flat wormhole solutions with variable equation-of-state parameter
• Some specific wormhole solutions in $f(R)$-modified gravity theory
• Static spherically symmetric wormhole with quadratic shape function and particle trajectories around it