Eleven Spherically Symmetric Constant Density Solutions with Cosmological Constant

Eleven spherically symmetric constant density solutions with cosmological constant

Einstein’s field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on as an exterior field. Another solution describes a decreasing pressure model with exterior Schwarzschild-de Sitter spacetime having decreasing group orbits a...

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

Spherical symmetric charged solution with cosmological constant

A spherically symmetric charged ideal fluid solution of Einstein field equation is given in the presence of the cosmological constant and two well known example of this type of solution is presented. If the matter is confined in a region, the exterior spacetime is considered as RN-de Sitter (Reissner-Nordström de Sitter) and to complete solution matching conditions are examined. We show that th...

A Classification of Spherically Symmetric Static Solutions of SU(2) Einstein Yang Mills Equations with Non-negative Cosmological Constant

We categorize the global structure of spherically symmetric static solutions of Einstein SU(2)-Yang Mills equations with positive cosmological constant that are smooth at the origin.

Axially Symmetric Cosmological Models with Perfect Fluid and Cosmological Constant∗

In this paper we will study the qualitative behavior of three anisotropic and homogeneous models: Kantowski-Sachs, Bianchi I and Bianchi III universes, with pressureless and cosmological constant. We conclude stating that, this models undergo isotropisation, except for the KantowskiSachs model (Ωk0 > 0) with ΩΛ0 < ΩΛM and for the Bianchi III (Ωk0 < 0) with ΩΛ0 < ΩΛM . To appear in Proceedings o...