Suppose that in a star, the only source of energy generation is radioactive decay, so the energy production per unit mass is constant and independent of density and temperature. Further suppose that the opacity is given by Kramer’s' law. How can I prove that the structure of the star is described by the polytrope of form $P\sim p^n$?
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$\begingroup$ Not following. The energy transport is either radiative or convective. In both these cases the star can be represented by a polytrope. $\endgroup$– ProfRobCommented Feb 11, 2020 at 22:51
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$\begingroup$ It would be actually the radiative zero idealized star with a polytropic index of 3.5. $\endgroup$– Darth wiseoneCommented Feb 11, 2020 at 23:55
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