Energy-Momentum distributions of cylindrical black hole in rainbow gravity

In this study, the energy-momentum localization problem is addressed within the framework of rainbow gravity. Considering the black string black hole, one of the cylindrical black hole models, energy-momentum distributions are obtained for Einstein, Bergmann-Thomson, and Landau-Liftshitz prescriptions in rainbow gravity. All prescriptions' energy densities are non-zero and depend on the rainbow functions, while the momentum distributions are zero. It has been observed that space-time energy does not depend on the energy of the test particle for some particular choices of rainbow functions. The results obtained for all special cases are given in a table.