Abstract
Nonlocal relativistic hydrodynamic equations describing the properties of the equilibrium (Planck) radiation in the gravitational field are derived. Analytical solutions of these equations in the stationary one-dimensional case, as well as self-similar wave solutions, are obtained. These solutions are compared with experimental data. We should underline the following important information:1.There is an area of physics in which nonlocal terms of the relativistic hydrodynamic equations are determinant and, moreover, local terms disappear. This is the theory of radiation, including radiation in the gravitational field.2.While studying the motion of massless particles (photons), the parameter of nonlocality in the relevant relativistic hydrodynamic equations vanishes. It means that the solution does not depend on the magnitude of the nonlocality parameter.
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