Critical Combinations of Higher Order Terms in Einstein-Maxwell theory and Compactification

We discuss the role of a particular combination of higher derivative terms in higher dimensional theories, especially in the background of spontaneous compactification. We find that the special extension of Einstein-Maxwell theory with higher order terms admits interesting cosmological solutions.Comment: 18 pages, 3 figure

Emergent Einstein Universe under Deconstruction

We study self-consistent static solutions for an Einstein universe in a graph-based induced gravity. The one-loop quantum action is computed at finite temperature. In particular, we demonstrate specific results for the models based on cycle graphs.Comment: 15 pages, three figures, use ptpte