Traversable Wormholes in Massive Gravity Theory

Abstract

Morris-Thorne wormhole or traversable wormhole (TWH) is wormhole which we are physically allowed to travel through. The main problem of this wormhole is that the exotic matter is needed as a constituent of the wormhole. The exotic matter is unknown for us with strong negative radial pressure, known here as wormhole tension. In general relativity (GR), negative pressure plays a role of wormhole tension, forbidding travelling through such a wormhole. The same problem is also found in a wormhole solution for GR with a cosmological constant. Here we consider it in the context of a modified gravitational theory so called massive gravity. Although, the massive gravity is constructed aiming in explaining the cosmic acceleration, the wormhole solution exists in this theory. Moreover, there are many free parameters in wormhole solution for the de Rham-Gabadadze-Tolley (dRGT) massive gravity. The necessity of the exotic matter can be alleviated. As a result, the wormhole with lower size of throat, tension as well as volume of exotic matter can be obtained in this work.

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