The curious case of the Buchdahl-Land-Sultana-Wyman-Ibañez-Sanz spacetime

Abstract

We revisit Wyman's "other" scalar field solution of the Einstein equations and its Sultana generalization to positive cosmological constant, which has a finite 3-space and corresponds to a special case of a stiff fluid solution proposed by Buchdahl and Land and, later, by Ibañez and Sanz to model relativistic stars. However, there is a hidden cosmological constant and the peculiar geometry prevents the use of this spacetime to model relativistic stars.

11 pages, 3 figures

References in corpus (2)

• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Asymptotic flatness and Hawking quasilocal mass

Cited by in corpus (1)

• A new approach to the thermodynamics of scalar-tensor gravity