Static and dynamic traversable wormholes

Abstract

The aim of this work is to discuss the effects found in static and dynamic wormholes that occur as a solution of Einstein equations in general relativity. The ground is prepared by presentation of "faster than light" effects, historical perspective, wormhole definition and contemporary directions in wormhole research. Then the focus is narrowed to Morris-Thorne framework for static spherically symmetric wormhole. Energy conditions being a fundamental component in wormhole physics are discussed in detail, their definition, most common violations and attempts to exocit matter quantification. Two types of dynamic wormholes, evolving and rotating, together with their variations are considered. Computer algebra and Cartan calculus are used to obtain detailed solutions.