Abstract
When Morris and Thorne first proposed that wormholes might be actual physical structures suitable for interstellar travel, they needed to pay close attention to certain traversability conditions such as low tidal forces, which placed severe constraints on the wormhole geometry. Even more problematical was the need for "exotic matter" resulting from the unavoidable violation of the null energy condition required to hold a wormhole open. The purpose of this paper is to overcome these problems by starting with the charged wormhole model of Kim and Lee and assuming a noncommutative-geometry background: the violation of the null energy condition can be attributed to the latter, while the electric charge allows the reduction of the tidal forces to acceptable levels without invoking the trivial zero-tidal-force assumption.
Highlights
Wormholes are handles or tunnels in spacetime that link widely separated regions of our Universe or different universes altogether
When Morris and Thorne first proposed that wormholes might be actual physical structures suitable for interstellar travel, they needed to pay close attention to certain traversability conditions such as low tidal forces, which placed severe constraints on the wormhole geometry
The purpose of this paper is to overcome these problems by starting with the charged wormhole model of Kim and Lee and assuming a noncommutative-geometry background: the violation of the null energy condition can be attributed to the latter, while the electric charge allows the reduction of the tidal forces to acceptable levels without invoking the trivial zero-tidal-force assumption
Summary
Wormholes are handles or tunnels in spacetime that link widely separated regions of our Universe or different universes altogether. Proposed the following line element for the wormhole spacetime:. For all null vectors kα , where Tαβ is the stress-energy tensor. Matter that violates this condition is referred to as “exotic” in Ref. [1], Morris and Thorne discussed the tidal forces that a traveler would be subjected to and subsequently put the following constraint on the red-. ( ) shift function: Φ′(r ) ≤ g⊕ c2 1− b (r ) r The feasibility of this assumption will be discussed later. Einstein-GaussBonnet wormholes satisfying the weak energy condition are studied in Ref. [6], while higher-dimensional evolving wormholes satisfying the null energy condition are discussed in Ref. It was noted in Ref. [8] that the zero-tidal-force assumption is incompatible with quantum field theory in classical general relativity
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