Singular inflation

Inflation , Singular Instantons and Eleven Dimensional Cosmology

We investigate cosmological solutions of eleven dimensional supergravity compactified on a squashed seven manifold. The effective action for the four dimensional theory contains scalar fields describing the size and squashing of the compactifying space. The potential for these fields consists of a sum of exponential terms. We derive a criterion for an exponential potential to give rise to infla...

Open inflation and the singular boundary

The singularity in Hawking and Turok’s model of open inflation has some appealing properties. We suggest that this singularity should be regularized with matter. The singular instanton can then be obtained as the limit of a family of “no-boundary” solutions where both the geometry and the scalar field are regular. Using this procedure, the contribution of the singularity to the Euclidean action...

Verified Branch and Bound for Singular Linear and Nonlinear Programs – An Epsilon-Inflation Process

Linear and nonlinear programs are often ill-posed, or approximately ill-posed. However, current commercial software often is constructed with implicit assumptions of well-posedness built in. The result is that such software returns just one of many possible solutions, without any indication that singularity or approximate singularity exists. This is illustrated by applying several commercial pa...

Inflation, Singular Instantons and Eleven Dimensional Cosmology Typeset Using Revt E X

We investigate cosmological solutions of eleven dimensional supergravity compactified on a squashed seven manifold. The effective action for the four dimensional theory contains scalar fields describing the size and squashing of the compactifying space. The potential for these fields consists of a sum of exponential terms. At early times only one such term is expected to dominate. The condition...

The Relation Between Inflation and Inflation Uncertainty In Iran