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The Borde–Guth–Vilenkin ( BGV) theorem is a theorem in physical cosmology which deduces that any universe that has, on average, been expanding throughout its history cannot be infinite in the past but must have a past spacetime boundary. [1] It is named after the authors Arvind Borde, Alan Guth and Alexander Vilenkin, who developed its ...
May 29, 2012 · In 2003, Tufts cosmologist Alexander Vilenkin and his colleagues, Arvind Borde, now a senior professor of mathematics at Long Island University, and Alan Guth, a professor of physics at MIT, proved a mathematical theorem showing that, under very general assumptions, the universe must, in fact, have had a beginning.
Oct 1, 2001 · Inflationary spacetimes are not past-complete. Arvind Borde, Alan H. Guth, Alexander Vilenkin. Many inflating spacetimes are likely to violate the weak energy condition, a key assumption of singularity theorems. Here we offer a simple kinematical argument, requiring no energy condition, that a cosmological model which is inflating -- or just ...
- Arvind Borde, Arvind Borde, Alan H. Guth, Alan H. Guth, Alexander Vilenkin
- 2003
Arvind Borde, Alan Guth and Alexander Vilenkin, “Inflationary Spacetimes are Incomplete in Past Directions,” Physical Review Letters 90 (2003): 1–4. ↩ George Ellis, Jeff Murugan and Christos Tsagas, “The Emergent Universe: An Explicit Construction,” Classical and Quantum Gravity 21 (2004): 233–50.
- Alexander Vilenkin
- 2015
Oct 1, 2001 · Inflation is not past-eternal. Arvind Borde, Alan H. Guth, Alexander Vilenkin. Many inflating spacetimes are likely to violate the weak energy condition, a key assumption of singularity theorems. Here we offer a simple kinematical argument, without assuming any energy condition, that a cosmological model that is inflating -- or just expanding ...
- A Borde, A H Guth, A Vilenkin
- 2001
Apr 18, 2003 · Arvind Borde 1 , Alan H Guth, Alexander Vilenkin Affiliation 1 Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USA.
Inflationary Spacetimes Are Incomplete in Past Directions
