Title: Possible resolution of a spacetime singularity with field
transformations

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Abstract:

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It is widely believed that classical gravity breaks down and quantum
gravity is needed to deal with a singularity. In this talk, 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