I am looking for an equation that can take into account the strong magnetic fields of neutron stars and the affect they have on the radiation of heat. So far, I have been unable to find anything more than rough approximations, and even those are for normal stars, not neutron stars. I want to take into account the non-isotropic emission of neutron stars, the gravitational redshift, and the surface anisotropies of neutron stars.
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2$\begingroup$ What is the problem with the Black body radiation? Isn't a neutron star a black body? $\endgroup$– RuffoloCommented Dec 8 at 20:31
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$\begingroup$ The reason you have been able to find only approximations is because a neutron star is an enormously complicated system. There will probably be no straight-up equation that tells you exactly how every part of it interacts with every other, at least not one you could easily write out... $\endgroup$– controlgroupCommented Dec 9 at 0:04
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$\begingroup$ @controlgroup Yeah, I understand that but I am just a little lost about which of these approximations is the best. $\endgroup$– Salvor HardinCommented Dec 9 at 2:54
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$\begingroup$ You might link to which approximations you're considering, and what your application of those approximations is, then - they each might have their own value. $\endgroup$– controlgroupCommented Dec 9 at 2:55
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$\begingroup$ At first, I used 𝑇𝑏=𝑇𝑠*sqrt(Rs/2r) where Rs is the star's radius, Tb is the body's temperature, and Ts is the surface temperature of a star. I think this is derived from the Stefan-Boltzmann law(I found this in another post but am not sure how to link it). I wasn't sure if I could use black body radiation because of the factors mentioned above affecting the wave lengths. $\endgroup$– Salvor HardinCommented Dec 9 at 3:56
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