Gravity of a static massless scalar field and a limiting Schwarzschild-like geometry
arXiv:gr-qc/0512122 · doi:10.1142/S0218271806009121
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.
13 pages, 4 figures