On Wormholes supported by phantom energy

Abstract

By a combination of analytical and numerical techniques, we demonstrate the existence of spherical, asymptotically flat traversable wormholes supported by exotic matter whose stress tensor relative to the orthonormal frame of Killing observers takes the form of a perfect fluid possessing anisotropic pressures and subject to linear equations of state: $\tau =\lambda \rho c^2$, $P=\mu \rho c^2$. We show that there exists a four parameter family of asymptotically flat spherical wormholes parametrized by the area of the throat A(0), the gradient $\Lambda (0)$ of the red shift factor evaluated at the throat as well as the values of $(\lambda ,\mu )$. The latter are subject to restrictions: $\lambda >1$ and $2\mu >\lambda$ or $\lambda <0$ and $2\mu <-|\lambda |$. For particular values of $(\lambda ,\mu )$, the stress tensor may be interpreted as representing a phantom configuration, while for other values represents exotic matter. All solutions have the property that the two asymptotically flat ends posses finite ADM mass.

12 pages, 21 eps figures

References in corpus (4)

• Non-Local Modification of Gravity and the Cosmological Constant Problem
• Lorentz-violating graviton masses: getting around ghosts, low strong coupling scale and VDVZ discontinuity
• Effective Lagrangian and Topological Interactions in Supersolids
• On the Structure of the Effective Potential for a Spherical Wormhole

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• Exact solutions of Brans-Dicke wormholes in the presence of matter
• General constraints on Horndeski wormhole throats
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• Dark sector impact on gravitational collapse of an electrically charged scalar field
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• Wormhole Formation with Gravitational Particle Creation Mechanism