Possible resolution of a spacetime singularity with field
  transformations
  It is widely believed that classical gravity breaks down and quantum gravity
is needed to deal with a singularity. We show that there is a class of
spacetime curvature singularities which can be resolved with metric and matter
field transformations. As an example, we consider an anisotropic power-law
inflation model with scalar and gauge fields in which a space-like curvature
singularity exists at the beginning of time. First, we provide a transformation
of the metric to the flat geometry, i.e. the Minkowski metric. The
transformation removes the curvature singularity located at the origin of the
time. An essential difference from previous work in the literature is that the
origin of time is not sent to past infinity by the transformation but it
remains at a finite time in the past. Thus the geometry becomes extendible
beyond the singularity. In general, matter fields are still singular in their
original form after such a metric transformation. However, we explicitly show
that there is a case in which the singular behavior of the matter fields can be
completely removed by a re-definition of matter fields. Thus, for the first
time, we have resolved a class of initial cosmic singularities and successfully
extended the spacetime beyond the singularity in the framework of classical
gravity.
