Gravity of a static massless scalar field and a limiting Schwarzschild-like geometry
M. Gaudin, V. Gorini, A. Kamenshchik, U. Moschella, V. Pasquier
TL;DR
This paper explores static solutions of Einstein's equations with a massless scalar field, revealing their relation to Kantowski-Sachs cosmologies and analyzing the properties of a limiting hyperbolic spacetime geometry.
Contribution
It introduces a connection between scalar field solutions and Kantowski-Sachs cosmologies, and examines the properties of a limiting pseudo-Schwarzschild geometry.
Findings
Identification of duality transformations linking solutions
Analysis of the pseudo-Schwarzschild geometry's properties
Connection between scalar field solutions and cosmological models
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.
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