Recently, it has been shown by Lobo, Parsaei and Riazi (LPR) that phantom
energy with $\omega =p_{r}/\rho <-1$ could support phantom wormholes. Several
classes of such solutions have been derived by them. While the inner spacetime
is represented by asymptotically flat phantom wormhole that have repulsive
gravity, it is most likely to be unstable to perturbations. Hence, we consider
a situation, where a phantom wormhole is somehow trapped inside a Schwarzschild
sphere across a thin shell. Applying the method developed by Garcia, Lobo and
Visser (GLV), we shall exemplify that the shell can possess zones of stability
depending on certain constraints. It turns out that zones corresponding to
"force" constraint are more restrictive than those from the "mass" constraint.
We shall also enumerate the interior energy content by using the gravitational
energy integral proposed by Lynden-Bell, Katz and Bi% \v{c}\'ak. It turns out
that, even though the interior mass is positive, the integral implies repulsive
energy. This is consistent with the phantom nature of interior matter.Comment: 10 pages, 3 figures, Indian J Phys 201
In this paper, we wish to investigate certain observable effects in the recently obtained wormhole solution of the EiBI theory, which generalizes the zero mass Ellis-Bronnikov wormhole of general relativity. The solutions of EiBI theory contain an extra parameter κ having the inverse dimension of the cosmological constant Λ, and is expected to modify various general relativistic observables such as the masses of wormhole mouths, tidal forces and light deflection. A remarkable result is that a non-zero κ could prevent the tidal forces in the geodesic orthonormal frame from becoming arbitrarily large near a small throat radius (r 0 ∼ 0) contrary to what happens near a small Schwarzschild horizon radius (M ∼ 0). The role of κ in the flare-out and energy conditions is also analysed, which reveals that the energy conditions are violated. We show that the exotic matter in the EiBI wormhole cannot be interpreted as phantom (ω = pr ρ < −1) or ghost field φ of general relativity due to the fact that both ρ and p r are negative for all κ.
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