Distributional Energy-momentum Densities of Schwarzschild Space-time
نویسنده
چکیده
For Schwarzschild space-time, distributional expressions of energy-momentum densities and of scalar concomitants of the curvature tensors are examined for a class of coordinate systems which includes those of the Schwarzschild and of Kerr-Schild types as special cases. The energy-momentum density e T (x) of the grav-itational source and the gravitational energy-momentum pseudo-tensor density e t have the expressions e T (x) = ?Mc 2 0 0 (3) (x) and e t = 0, respectively. In expressions of the curvature squares for this class of coordinate systems, there are terms like (3)
منابع مشابه
ar X iv : g r - qc / 9 70 70 29 v 1 1 4 Ju l 1 99 7 Distributional Energy - Momentum Densities of Schwarzschild Space - Time Toshiharu Kawai
For Schwarzschild space-time, distributional expressions of energy-momentum densities and of scalar concomitants of the curvature tensors are examined for a class of coordinate systems which includes those of the Schwarzschild and of KerrSchild types as special cases. The energy-momentum density T̃ ν μ (x) of the gravitational source and the gravitational energy-momentum pseudo-tensor density t̃ ...
متن کاملEnergy-momentum and angular momentum densities in gauge theories of gravity
In the Poincaré gauge theory of gravity, which has been formulated on the basis of a principal fiber bundle over the space-time manifold having the covering group of the proper orthochronous Poincaré group as the structure group, we examine the tensorial properties of the dynamical energy-momentum density Tk μ and the “spin” angular momentum density Skl μ of the gravitational field. They are bo...
متن کاملar X iv : g r - qc / 9 80 50 33 v 1 1 1 M ay 1 99 8 Schwarzschild Space - Time in Gauge Theories of Gravity
In Poincaré gauge theory of gravity and in Poincaré gauge theory of gravity, we give the necessary and sufficient condition in order that the Schwarzschild spacetime expressed in terms of the Schwarzschild coordinates is obtainable as a torsionless exact solution of gravitational field equations with a spinless point-like source having the energy-momentum density T̃ ν μ (x) = −Mc2δ 0 μ δ ν 0 δ(3...
متن کاملSimulation of a Helium Atmospheric Plasma Jet Using Fluid Equations
In this study, a cold atmospheric He plasma jet is investigated. The jet is of dielectric barrier discharge type, consisting of a dielectric tube with two metal ring electrodes. The continuity, momentum and energy conservation equations as well as the Poisson equation for obtaining the potential and the electric field, accompanied with the ideal gas laws, are used for the simulation. The result...
متن کاملEnergy associated with a static spherically symmetric nonsingular black hole
We evaluate the energy distributions of the Dymnikova space-time using the Weinberg, Papapetrou, and Møller energy-momentum complexes. This result sustain the importance of the energy-momentum complexes in the evaluation of the energy distribution of a given space-time. To compare the energy distributions obtained by using several definitions, these results show that the Einstein, Tolman, and W...
متن کامل