A
Arvind Borde
Researcher at Tufts University
Publications - 11
Citations - 1649
Arvind Borde is an academic researcher from Tufts University. The author has contributed to research in topics: Inflation (cosmology) & Gravitational singularity. The author has an hindex of 8, co-authored 11 publications receiving 1504 citations. Previous affiliations of Arvind Borde include Case Western Reserve University & Long Island University.
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Inflationary spacetimes are incomplete in past directions.
TL;DR: A simple kinematical argument is offered that a cosmological model which is inflating--or just expanding sufficiently fast--must be incomplete in null and timelike past directions, and a bound on the integral of the Hubble parameter over a past-directed timelikes or null geodesic is obtained.
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Eternal inflation and the initial singularity
Arvind Borde,Alexander Vilenkin +1 more
TL;DR: It is shown that a physically reasonable spacetime that is eternally inflating to the future must possess an initial singularity.
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Regular black holes and topology change
Arvind Borde,Arvind Borde +1 more
TL;DR: In this paper, the conditions under which singularity-free black holes can exist were clarified and it was shown that in a large class of spacetimes that satisfy the weak energy condition, the existence of a regular black hole requires topology change.
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Open and closed universes, initial singularities, and inflation.
TL;DR: The existence of initial singularities in expanding universes is proved without assuming the timelike convergence condition, which means that a recent result on initial singularity in open, future-eternal, inflating spacetimes may not be extended to include many closed universes.
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Violation of the weak energy condition in inflating spacetimes
Arvind Borde,Alexander Vilenkin +1 more
TL;DR: In this article, it was shown that many future-eternal inflating spacetimes are likely to violate the weak energy condition and may not enforce any of the known averaged conditions either.