AdS Ellis wormholes with scalar field
Abstract
In this paper, we study the spherically symmetric traversable wormholes with a scalar field supported by a phantom field in the anti-de Sitter (AdS) asymptotic spacetime. Despite coupling the scalar matter field, these wormholes remain massless and symmetric for reflection of the radial coordinate r → -r. The solution possesses a finite Noether charge Q, which varies as a function of frequency ω with changes in the cosmological constant and the throat size r0. Under specific conditions, an approximate ``event horizon'' will appear at the throat.
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