Decoupling Inflation From the String Scale - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: When Inflation is embedded in a fundamental theory, such as string theory, ittypically begins when the Universe is already substantially larger than thefundamental scale such as the one defined by the string length scale. This isnaturally explained by postulating a pre-inflationary era, during which thesize of the Universe grew from the fundamental scale to the initialinflationary scale. The problem then arises of maintaining the presumedinitial spatial homogeneity throughout this era, so that, when it terminates,Inflation is able to begin in its potential-dominated state. Linde has proposedthat a spacetime with compact negatively curved spatial sections can achievethis, by means of chaotic mixing. Such a compactification will however lead toa Casimir energy, which can lead to effects that defeat the purpose unless thecoupling to gravity is suppressed. We estimate the value of this couplingrequired by the proposal, and use it to show that the pre-inflationaryspacetime is stable, despite the violation of the Null Energy Conditionentailed by the Casimir energy.



Author: Brett McInnes

Source: https://arxiv.org/







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