Magnetic reconnection can he interpreted as a process in which the ele
ctromagnetic field is frozen into a four-velocity field in Minkowski s
pace. For reconnection to occur the four-velocity held has to be a spe
cial type of stagnation flow. Prescribing this type of dow in a finite
spatial domain allows the modelling of localized reconnection events
and the investigation of examples of reconnection in regions without m
agnetic nulls. In the present contribution, we start with a simple twi
sted magnetic flux tube. Reconnection occuring along a part of the axi
s of the tube results in a structure of the magnetic held which is a s
uperposition of a two-dimensional X-type magnetic field well-known fro
m stationary 2D reconnection models, and a component resulting from th
e magnetic field parallel to the axis. For localized reconnection, the
latter component of the magnetic held evolves in a non-trivial way. T
his evolution is important for the spatial variation of the parallel e
lectric field integrated along the magnetic field lines. The integrate
d electric held gives an upper limit for the energy to which particles
can he accelerated in a reconnection event and its distribution shows
to be localized in very thin structures.