_{1}

^{*}

From the theory about the internal structure and stars stability, a relationship for the central temperature of any gaseous star can be obtained.

The value of the main parameters of the Sun and other stars, like the luminosity and the central temperature, can be obtained from the basic equations of the theory about the stability and equilibrium of the stars [

Let us consider the following relations

This is the modified mass-luminosity relation [_{c} the opacity coefficient at the center of the star, and a = 2.5 a constant [

where p is the whole pressure, and

are the radiation pressure and the hot gases pressure, respectively. In those relations, T is the temperature, r the mass density, ^{−15} the Stefan’s constant [

Now, from the momentum balance equation of magneto hydrodynamics [

where H^{2} is the square of the intense magnetic field which all gaseous stars self-generate at an early stage of their evolution.

Substituting (2) and (3) in (4) we obtain that

and then

where the subscript c means the temperature at the center of stars. However, T_{c} and H ^{2} are directly related; so that another independent equation is necessary for the magnetic field. Hence, from the polytropic gas sphere theory [

where

is the gravitational potential, R the stellar radius, and M the mass [

Substituting (7) and (8) in the relation (1) we have that

Finally, with this result substituting in (6), it is easy to see that

Thus, for any gaseous star, the central temperature behaves as a constant, in the meantime, the power generating source can be feed with new nuclear fuel [

In the specialized literature [

where the symbol

This is so, because the self-generated magnetic field has never been included in that theory [

Hence, for

which is a more acceptable value, given the stability and the state of equilibrium of the Sun. In consequence, the relationship (10) is useful to calculate the central temperature for any gaseous star.

Angel Fierros Palacios, (2016) The Central Temperature of the Stars. Journal of High Energy Physics, Gravitation and Cosmology,02,183-185. doi: 10.4236/jhepgc.2016.22017