From the Flamm-Einstein-Rosen bridge to the modern renaissance of traversable wormholes

Abstract

We consider the possibility of multiply-connected spacetimes, ranging from the Flamm-Einstein-Rosen bridge, geons, and the modern renaissance of traversable wormholes. A fundamental property in wormhole physics is the flaring-out condition of the throat, which through the Einstein field equation entails the violation of the null energy condition. In the context of modified theories of gravity, it has also been shown that the normal matter can be imposed to satisfy the energy conditions, and it is the higher order curvature terms, interpreted as a gravitational fluid, that sustain these non-standard wormhole geometries, fundamentally different from their counterparts in general relativity. We explore interesting features of these geometries, in particular, the physical properties and characteristics of these `exotic spacetimes'.

20 pages. MG14 rapporteur article based on the AT3 parallel session. Includes a brief review of wormhole physics and of the contributions to the AT3 session

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• A Review of Stable, Traversable Wormholes in f (R) Gravity Theories
• Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes
• Characterising exotic matter driving wormhole
• Stress-energy tensor of quantized massive fields in static wormhole spacetimes
• Novel Casimir wormholes in Einstein gravity
• Static spherically symmetric wormhole with quadratic shape function and particle trajectories around it
• Unitary symmetries in wormhole geometry and its thermodynamics
• Stress-energy of the quantized fields in the spacetime of the Damour-Solodukhin wormhole
• Wormhole solutions in generalized Rastall gravity
• Wormhole restrictions from quantum energy inequalities
• Casimir Wormholes in Brans-Dicke Theory
• Quantum Gravity Wormholes and Topological Teleporter
• Wormholes and Teleporters
• Local solutions of General Relativity in the presence of the Trace Anomaly
• Tractor beams, pressor beams, and stressor beams in general relativity
• Josephson junction formed in the wormhole space time from the analysis for the critical temperature of Bose-Einstein condensate
• Trace anomaly contributions to semi-classical wormhole geometries