The Role of the Equation of State in the Theory of Stellar Energy

The mathematical theory of stellar energy and the internal constitution of stars is based on two equations of equilibrium (mechanical and heat equilibrium), which determine a star as a sphere of substance producing radiation, and are dependent on the equation of state. Eddington's version of the theory (1920's) uses the equation of state of ideal gas, and converges with thermonuclear source of energy. However, huge deficit of solar neutrinos, still registered during decades commencing in the first observations (1960's, Davies and Bahcall), has indicated that stars are not thermonuclear fusion reactors. On the other hand, Jeans' concept of liquid sun and stars (1920's), which never met mathematical basis, is supported by a most recent analysis (Robitaille P.-M. NY Times, 2002, March 17; Progress in Physics, 2006, v.2, 17-21; 2007, v.1, 70-81). Therefore, I suggest the use of the equation of state of incompressible liquid in the equations of equilibrium. This step will lead, after calculation of the respective models of stars, and comparing them to observational data (the mass-luminosity relation, etc.), to another picture of the internal constitution of stars and another source of stellar energy.