Attractors, universality, and inflation

Universality of supersymmetric attractors.

The macroscopic entropy-area formula for supersymmetric black holes in N=2,4,8 theories is found to be universal: in d=4 it is always given by the square of the largest of the central charges extremized in the moduli space. The proof of universality is based on the fact that the doubling of unbroken supersymmetry near the black hole horizon requires that all central charges other than Z=M vanis...

The inflation of nonautonomous systems and their pullback attractors ∗ †

2 Perturbed dynamics of parametrized systems 7 2.1 The inflation of cocycle dynamics . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1.1 Inflation through differential inclusions . . . . . . . . . . . . . . . . . 7 2.1.2 Inflation through additive controls . . . . . . . . . . . . . . . . . . . . 8 2.1.3 Inflation through chain–connectedness . . . . . . . . . . . . . . . . . 8 2.2 Inflated p...

The inflation of attractors and their discretization: the autonomous case∗

The effects of perturbation or discretization on a maximal attractor of autonomous dynamical systems is now well understood, with the perturbed or discretized system having a nearby maximal attractor [5, 7, 10]. In contrast, for nonautonomous systems the very concept of a nonautonomous attractor itself is still undergoing intensive development and perturbation or discretization results have bee...

The Relation Between Inflation and Inflation Uncertainty In Iran

Inflation and Eternal Inflation

The basic workings of inflationary models are summarized, along with the arguments that strongly suggest that our universe is the product of inflation. The mechanisms that lead to eternal inflation in both new and chaotic models are described. Although the infinity of pocket universes produced by eternal inflation are unobservable, it is argued that eternal inflation has real consequences in te...