Computer Science
Scientific paper
Jun 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..407f&link_type=abstract
General Relativity and Gravitation, vol. 12, June 1980, p. 407-413.
Computer Science
3
Fourier Transformation, Radiative Transfer, Relativity, Transport Theory, Energy Transfer, Hyperbolic Functions, Particle Diffusion, Spatial Distribution, Thermodynamic Equilibrium
Scientific paper
A new derivation of the general-relativistic Fourier equation is given for radiation transport by using the principle of conservation of momentum plus some rather simple assumptions. The Fourier equation at which I arrive is not the usual one but has an additional term. For this reason it leads to a hyperbolic equation for heat conduction, thus avoiding the paradox of infinite velocity of heat propagation, which is a consequence of the usual Fourier equation, as the latter one leads to a parabolic equation for heat conduction. The new Fourier equation is compared with the one that was given by Kranys by using ad hoc assumptions.
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