Is the cosmic no hair conjecture true in the Einstein-Maxwell-dilaton system? (Q2730932)

The cosmic no hair conjecture states that under certain circumstances, cosmological solutions converge towards a space of constant curvature for large times. In most applications, this is related to inflationary cosmological models, and then the limit is the de Sitter space-time. NEWLINENEWLINENEWLINEIn the present paper, the authors restrict themselves to spherically symmetric space-times, and give several new versions of that no hair conjecture. Due to the high symmetry assumed, they are able to give strict proofs of their results. In contrast, for the general case, the conjecture is still under debate. NEWLINENEWLINENEWLINEAs matter, they assume an electromagnetic and a scalar field and they apply the effective theory of the superstring. They deal with the horizon, the gravitational collapse, and with asymptotically de Sitter spaces. Finally, the authors confirm their analytical results by numerical calculations.