R + αR n inflation in higher-dimensional space-times

Higher Dimensional Charged Rotating Solutions in (A)dS Space-times

We present a class of solutions to the Einstein-Maxwell equations in d–dimensions, all of which are asymptotically (anti)–de Sitter space-times. They describe electrically charged rotating solutions, which are generalizations of those found by Lemos (gr-qc/9404041). These solutions have toroidal, planar or cylindrical horizons and can be interpreted as black holes, or black strings/branes. We c...

On naked singularities in higher dimensional Vaidya space - times

We investigate the end state of gravitational collapse of null fluid in higher dimensional space-times. Both naked singularities and black holes are shown to be developing as final outcome of the collapse. The naked singularity spectrum in collapsing Vaidya region (4D) gets covered with increase in dimensions and hence higher dimensions favor black hole in comparison to naked singularity. The C...

Five-Dimensional Space-Times

Assisted Chaotic Inflation in Higher Dimensional Theories

We address the problem of the large initial field values in chaotic inflation and propose a remedy in the framework of the so-called assisted inflation. We demonstrate that a 4-dimensional theory of multiple, scalar fields with initial field values considerably below the Planck scale, can give rise to inflation even though none of the individual scalar fields are capable of driving inflation. T...

THE STRONG PERRON INTEGRAL IN THE n-DIMENSIONAL SPACE R

In this paper, we introduce the SP -integral and the SPα-integral defined on an interval in the n-dimensional Euclidean space Rn. We also investigate the relationship between these two integrals.