Einstein and Moller Energy-Momentum Distributions for the Static Regular Simpson-Visser Space-Time

Energy-momentum localization for the four-dimensional static and spherically symmetric, regular Simpson-Visser black hole solution is studied by use of the Einstein and Moller energy-momentum complexes. According to the particular values of the parameter of the metric, the static Simpson-Visser solution can possibly describe the Schwarzschild black hole solution, a regular black hole solution with a one-way spacelike throat, a one-way wormhole solution with an extremal null throat, or a traversable wormhole solution of the Morris-Thorne type. In both prescriptions it is found that all the momenta vanish, and the energy distribution depends on the mass m, the radial coordinate r, and the parameter a of the Simpson-Visser metric. Several limiting cases of the results obtained are discussed, while the possibility of astrophysically relevant applications to gravitational lensing issues is pointed out.