Christian G. Boehmer, Tiberiu Harko, Francisco S. N. Lobo
In this work, we explore the possibility that static and spherically
symmetric traversable wormhole geometries are supported by modified
teleparallel gravity or f(T) gravity, where T is the torsion scalar.
Considering the field equations with an off-diagonal tetrad, a plethora of
asymptotically flat exact solutions are found, that satisfy the weak and the
null energy conditions throughout the spacetime. More specifically, considering
T=0, we find the general conditions for a wormhole satisfying the energy
conditions at the throat and present specific examples. Secondly, considering
specific choices for the f(T) form and for the redshift and shape functions,
several solutions of wormhole geometries are found that satisfy the energy
conditions throughout the spacetime. As in their general relativistic
counterparts, these f(T) wormhole geometries present far-reaching physical and
cosmological implications, such as being theoretically useful as shortcuts in
spacetime and for inducing closed timelike curves, possibly violating
causality.
View original:
http://arxiv.org/abs/1110.5756
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