2015
DOI: 10.1088/0264-9381/32/7/075001
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Mathematical issues in eternal inflation

Abstract: Abstract. In this paper, we consider the problem of existence and uniqueness of solutions to the Einstein field equations for a spatially flat FLRW universe in the context of stochastic eternal inflation where the stochastic mechanism is modelled by adding a stochastic forcing term representing Gaussian white noise to the Klein-Gordon equation. We show that under these considerations, the KleinGordon equation actually becomes a stochastic differential equation. Therefore, the existence and uniqueness of soluti… Show more

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Cited by 5 publications
(2 citation statements)
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“…Some authors have argued that inflation is not truly eternal even in this case[53,54] 4. "Saddle-point" inflation models with odd exponent p can avoid eternal inflation through an appropriate choice of parameters[35], so we consider even powers of p.…”
mentioning
confidence: 99%
“…Some authors have argued that inflation is not truly eternal even in this case[53,54] 4. "Saddle-point" inflation models with odd exponent p can avoid eternal inflation through an appropriate choice of parameters[35], so we consider even powers of p.…”
mentioning
confidence: 99%
“…Owing to hotter-colder CMB rains, decreasing mass and volume of PL will equal to increasing ones of universe that cosmic average mass density [17] ~ 4.5×10 −31 g/cm 3 also roughly was of PL, implying that here, however, disagrees with big bang that the density will be lower as time went on, as eternal inflation in fact cannot be eternal [18],…”
Section: Cosmic Densitymentioning
confidence: 96%