Stable fixed points of the Einstein flow with positive cosmological constant

Asymptotics of solutions of the Einstein equations with positive cosmological constant

A positive cosmological constant simplifies the asymptotics of forever expanding cosmological solutions of the Einstein equations. In this paper a general mathematical analysis on the level of formal power series is carried out for vacuum spacetimes of any dimension and perfect fluid spacetimes with linear equation of state in spacetime dimension four. For equations of state stiffer than radiat...

Asymptotic Behaviour of the Einstein-vlasov System with a Positive Cosmological Constant

We study locally spatially homogeneous solutions of the EinsteinVlasov system with a positive cosmological constant. First the global existence of solutions of this system and the casual geodesic completeness are shown. Then the asymptotic behaviour of solutions in the future time is investigated in various aspects.

Static Spherically Symmetric Solutions of SU(2) Einstein Yang Mills Equations with Positive Cosmological Constant

Quantum gravity with a positive cosmological constant

A quantum theory of gravity is described in the case of a positive cosmological constant in 3 + 1 dimensions. Both old and new results are described, which support the case that loop quantum gravity provides a satisfactory quantum theory of gravity. These include the existence of a ground state, discoverd by Kodama, which both is an exact solution to the constraints of quantum gravity and has a...

Asymptotics and singularities in cosmological models with positive cosmological constant

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