Special standard static space–times

Topology of the Causal Boundary for Standard Static Spacetimes

The causal boundary of a strongly causal spacetime, introduced by Geroch, Kronheimer, and Penrose in [GKP], is a tool for examining the causal nature of a spacetime “at infinity”. As it is conformally invariant, it is a property of the conformal structure of the spacetime. The addition of the causal boundary to a spacetime results in an object whose structure might be most naturally characteriz...

Spherically Symmetric Static Spacetimes

In this paper we discuss matter inheritance collineations by giving a complete classification of spherically symmetric static spacetimes by their matter inheritance symmetries. It is shown that when the energy-momentum tensor is degenerate, most of the cases yield infinite dimensional matter inheriting symmetries. It is worth mentioning here that two cases provide finite dimensional matter inhe...

Multipole Moments of Static Spacetimes

Scalar Field Quantum Inequalities in Static Spacetimes

We discuss quantum inequalities for minimally coupled scalar fields in static spacetimes. These are inequalities which place limits on the magnitude and duration of negative energy densities. We derive a general expression for the quantum inequality for a static observer in terms of a Euclidean two-point function. In a short sampling time limit, the quantum inequality can be written as the flat...

Static Isotropic Spacetimes with Radially Imperfect Fluids

When solving the equations of General Relativity in a symmetric sector, it is natural to consider the same symmetry for the geometry and stress-energy. This implies that for static and isotropic spacetimes, the most general natural stress-energy tensor is a sum of a perfect fluid and a radial imperfect fluid component. In the special situations where the perfect fluid component vanishes or is a...