Thin gravitating defects with conical singularities in higher codimensions and with generalized Israel matching conditions are known to be inconsistent for generic energy-momentum. A way to remove this inconsistency is proposed and is realized for an axially symmetric gravitating codimensiontwo defect in six dimensional Einstein gravity. By varying with respect to the brane embedding fields, al...

We present a new solution in the heterotic M–theory in which the metric depends on (cosmic) time. The solution preserves N = 1 supersymmetry in 4 dimensions in the leading order of the κ2/3 expansion. It is the first example of the time–dependent supersymmetric solution in M–theory on S/ZZ2. It describes expanding 4–dimensional space–time with shrinking orientifold interval and static Calabi–Ya...

Neutrinos are the among the most abundant particles in the universe. This means that they have a profound impact on many different aspects of cosmology, from the question of leptogenesis in the very early universe, over big bang nucleosynthesis, to late time structure formation. At late times (T ∼<TEW) neutrinos mainly influence cosmology because of their energy density and, even later, their m...

We investigate higher-dimensional $$\Delta$$ -systems indexed by finite sets of ordinals, isolating a particular definition thereof and proving version the classical -system lemma. focus in on systems that consist which case useful order-theoretic uniformities can be ensured. then present three applications these to problems involving interplay between forcing partition relations reals.

Generalized Friedmann equations governing the cosmological evolution inside a thick brane embedded in a five-dimensional Anti-de Sitter spacetime are derived. These equations are written in terms of four-dimensional effective brane quantities obtained by integrating, along the fifth dimension, over the brane thickness. In the case of a Randall-Sundrum type cosmology, different limits of these e...