Noncommutative-geometry wormholes without exotic matter

Abstract

A fundamental property of Morris-Thorne wormholes is the so-called flare-out condition that automatically results in a violation of the null energy condition (NEC) in classical general relativity. By contrast, in $f(R)$ modified gravity, the material threading the wormhole may actually satisfy the NEC, while, at the same time, the effective stress-energy tensor arising from the modified theory violates the NEC, thereby sustaining the wormhole. It is shown in this paper that noncommutative geometry, an offshoot of string theory, can be viewed as a special case of $f(R)$ gravity and can therefore sustain a wormhole without the use of exotic matter. It also provides a motivation for the choice of $f(R)$ in the modified gravitational theory.

arXiv comment6 pages, no figures

References in corpus (6)

• Noncommutative geometry inspired Schwarzschild black hole
• Wormhole geometries in f(R) modified theories of gravity
• Feynman Path Integral on the Noncommutative Plane
• Noncommutative geometry inspired dirty black holes
• Traversable wormholes sustained by an extra spatial dimension
• Accounting for the large radial tension in Morris-Thorne wormholes