Relation between mass and central temperature in supermassive stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Stellar Luminosity, Stellar Mass, Stellar Temperature, Supermassive Stars, Eddington Approximation, Nuclear Heat, Photoionization, Star Clusters

Scientific paper

The usual derivation of the mass-central temperature relation for supermassive stars radiating at the Eddington luminosity is in principle not self-consistent when applied to a range of masses, because the exponent and the multiplicative factor of the temperature power law representation of nuclear energy generation are dependent on central temperature of the supermassive star. Moreover, the variation of the exponent with temperature in the supermassive star is not taken into account. Here a self-consistent derivation of the power law relationships among mass, central temperature, radius and effective temperature is presented for supermassive stars radiating at their Eddington luminosity. The number of ionizing photons emitted by a single supermassive star and a cluster of stars of the same total mass is discussed.

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