Static space–times naturally lead to quasi-pseudometrics

Static space-times naturally lead to quasi-pseudometrics

The standard 4-dimensional Minkowski space-time of special relativity is based on the 3-dimensional Euclidean metric. In 1967, H. Busemann showed that similar static space-time models can be based on an arbitrary metric space. In this paper, we search for the broadest possible generalization of a metric under which a construction of a static spacetime leads to a physically reasonable space-time...

Special Relativity-Type Space-Times Naturally Lead to Quasi-Pseudometrics

The standard 4-dimensional Minkowski space-time of special relativity is based on the 3-dimensional Euclidean metric. In 1967, H. Busemann showed that similar space-time models can be based on an arbitrary metric space. In this paper, we search for the broadest possible generalization of a metric under which a construction similar to Minkowski space-time leads to a physically reasonable space-t...

Spacetimes admitting quasi-conformal curvature tensor

‎The object of the present paper is to study spacetimes admitting‎ ‎quasi-conformal curvature tensor‎. ‎At first we prove that a quasi-conformally flat spacetime is Einstein‎ ‎and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying‎ ‎Einstein's field equation with cosmological constant is covariant constant‎. ‎Next‎, ‎we prove that if the perfect flui...

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