ENERGY–MOMENTUM PRESCRIPTIONS IN GENERAL SPHERICALLY SYMMETRIC SPACETIMES

Abstract

In this paper we investigate Einstein, Landau–Lifshitz, Papapetrou, Weinberg, and Møller energy–momentum prescriptions in general spherically symmetric spacetimes. We show that for two special but not unusual classes of general spherically symmetric spacetimes, several energy–momentum prescriptions in Schwarzschild Cartesian coordinates lead to some coincidences in energy distribution. We also obtain that for a special class of spherically symmetric metrics Møller and Einstein energy–momentum prescriptions give the same result for energy distribution if and only if it has a specific dependence on radial coordinate.