( Angel Torregrosa)


  In most of articles about the black holes we can read that a star would be contracted until be a simple point. This represent a singularity so much of density as of space curvature (infinite density and curvature), furthermore of imaginary times in its interior. However I think that may exist something that would stop this final collapse toward a point and this is the detention of time.

 These problems of singularity can be avoided if we consider the idea that on the events horizon the time is stopped.

We can suppose a star whose interior densities distribution will be such that the situation that characterizes an events horizon will be given in all the star volume.


  In this case the time would be stopped in all the volume of star (the events horizon would be a sphere, not a spherical surface) and therefore the collapse since this point will not occur even though it has been surpassed the bearable pressure by the neutrons, and the neutrons were being merged itself already.

  Thus in a star in collapse time, if this density distribution may occurr, the collapse'll be stopped because the time is stopped.

To obtain that distribution we should see that the gravity inside a star is equal to that it would have if we removed a spherical wreath just above from this point . Thus the calculations are the same as for the surface but taking into account only the surface that remains below this point.

   Then we see that the relationship M' / r' (equation 4) must be a constant value in all the star, being M' the sphere mass with radio = r' and with center in the same center of the star. Thus we have

  ; (12)

  and if we find the mass

  M'=Kr' (13)

 Moreover, the total star mass will be equal to the addition of all the mass differentials, being a mass differential equal to the density in a given sphere's point s (x) multiplied by the differential of volume, that it will be equal to the area of the spherical surface multiplied by a radio differential. Therefore we will obtain an equation with an integral between 0 and r', and



 An evident solution of s (x) such as the integral result Kr', is



  being x the distance from the point of the star we study to the center of the same.

For greater depth we'll have greater density that will be inversely proportional to the squared of the radio. This carries us to an infinite density in the center of the star, but we should see that when the radio tend to zero the mass also tends to zero,. That idea is more acceptable situation.


  May be that this type of black hole would be common at the universe, because in a stellar implosion the fusion of neutrons would begin in the center of the star, and the stopped time situation would begin in the center of the star, preventing the fusion of more matter in that point. This situation would be extending cap to cap outwards creating a density distribution as the one I have calculated, and therefore a solid black hole from the events horizon toward the interior. Without singularity.


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