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  1. It is named after the authors Arvind Borde, Alan Guth and Alexander Vilenkin, who developed its mathematical formulation in 2003. The BGV theorem is also popular outside physics, especially in religious and philosophical debates.

  2. 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.

  3. Apr 20, 1997 · Erika Duncan profile of Arvind Borde, physicist at Southampton College who is expert in highly abstract relativity theory; interview; photos (M) ... Alan Guth, Andrei Linde and Alexander Vilenkin ...

  4. In 1982, Paul Steinhardt presented the first model of eternal inflation, Vilenkin showed that eternal inflation is generic. Furthermore, working with Arvind Borde and Alan Guth, he developed the BordeGuthVilenkin theorem, showing that a period of inflation must have a beginning and that a period of time must precede it.

  5. 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.

    • Arvind Borde, Arvind Borde, Alan H. Guth, Alan H. Guth, Alexander Vilenkin
    • 2003
  6. The Borde-Guth-Vilenkin Theorem. T he obstruction may be found in the Borde-Guth-Vilenkin (BGV) theorem. 8 Loosely speaking, our theorem states that if the universe is, on average, expanding, then its history cannot be indefinitely continued into the past. More precisely, if the average expansion rate is positive along a given world line, or ...

  7. Jul 6, 2017 · In 2003, Arvind Borde of Long Island University, Alan Guth and Alex Vilenkin proved a theorem, which implies that even though inflation is eternal to the future, it cannot be eternal to the past and must have had some sort of a beginning.

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