Inflationary spacetimes are not past-complete

  title={Inflationary spacetimes are not past-complete},
  author={Arvind Borde and Alan H. Guth and Alexander Vilenkin},
Arvind Borde, 2 Alan H. Guth, 3 and Alexander Vilenkin Institute of Cosmology, Department of Physics and Astronomy Tufts University, Medford, MA 02155, USA. Natural Sciences Division, Southampton College, NY 11968, USA. Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA. (Dated: January 11, 2003) 

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