Gravity of a static massless scalar field and a limiting Schwarzschild-like geometry

Abstract

We study a set of static solutions of the Einstein equations in presence of a massless scalar field and establish their connection to the Kantowski-Sachs cosmological solutions based on some kind of duality transformations. The physical properties of the limiting case of an empty hyperbolic spacetime (pseudo-Schwarzschild geometry) are analyzed in some detail.

arXiv comment13 pages, 4 figures

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• Influence of Electromagnetic Field on Hyperbolically Symmetric Source
• Non-static hyperbolicallly symmetric fluids
• Quantum cosmology of a Bianchi III LRS geometry coupled to a source free electromagnetic field
• Generalized unimodular gravity in Friedmann and Kantowski-Sachs universes
• Regular Friedmann Universes and Matter Transformations
• Again About Singularity Crossing In Gravitation And Cosmology
• Causal classification of pathological Misner-type spacetimes