Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-06-30
Phys.Rev.D79:064027,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, 21 eps figures
Scientific paper
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.
Gonzalez Jose A.
Guzman Siddharta F.
Montelongo-Garcia N.
Zannias Thomas
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