Ellis wormholes in anti-de Sitter space
Jose Luis Blázquez-Salcedo, Xiao Yan Chew, Jutta Kunz, Dong-han Yeom
Abstract
Abstract We construct traversable wormholes with anti-de Sitter asymptotics supported by a phantom field. These wormholes are massless and symmetric with respect to reflection of the radial coordinate $$\eta \rightarrow - \eta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>η</mml:mi> <mml:mo>→</mml:mo> <mml:mo>-</mml:mo> <mml:mi>η</mml:mi> </mml:mrow> </mml:math> . Their circumferential radius decreases monotonically from radial infinity to their single throat. Analogous to their asymptotically flat counterparts, these anti-de Sitter wormholes possess an unstable radial mode.
Topics & Concepts
WormholePhysicsMassless particleAnti-de Sitter spaceMathematical physicsDe Sitter spaceInfinityDe Sitter universeRADIUSde Sitter invariant special relativitySpace (punctuation)Classical mechanicsReflection (computer programming)Monotonic functionTheoretical physicsGeneral relativityEnergy conditionEinstein field equationsMathematical analysisCosmologyEinsteinde Sitter–Schwarzschild metricFive-dimensional spaceMathematicsTheory of relativityCircular symmetryCritical radiusPoint (geometry)Spectral Theory in Mathematical PhysicsGeometric Analysis and Curvature FlowsHolomorphic and Operator Theory