AdS Ellis wormholes with scalar field

Abstract In this paper, we study the spherically symmetric traversable wormholes supported by a phantom field in the anti-de Sitter (AdS) asymptotic spacetime. We couple an additional complex scalar field into this wormhole spacetime and study the physical properties of this model. Despite coupling the scalar matter field, these wormholes remain massless and symmetric for reflection of the radial coordinate $$r \rightarrow -r.$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>r</mml:mi> <mml:mo>→</mml:mo> <mml:mo>-</mml:mo> <mml:mi>r</mml:mi> <mml:mo>.</mml:mo> </mml:mrow> </mml:math> The solution possesses a finite Noether charge Q , which varies as a function of frequency $$\omega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ω</mml:mi> </mml:math> with changes in the cosmological constant $$\Lambda $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Λ</mml:mi> </mml:math> and the throat size $$r_0.$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>r</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo>.</mml:mo> </mml:mrow> </mml:math> Under specific conditions, an approximate “event horizon” will appear at the throat.