Analysis of the assumption of frequency independence of light velocity in a gravitational field

The concept of the black hole was derived from the Schwarzchild metric which was then the only exact and reliable solution of Einstein’s field equations (Rμσ=0). That metric gives a coordinate velocity for electromagnetic radiation (EMR) that goes to zero at the Schwarzchild radius, thereby resulting in the black hole. This analysis shows that inherent in the Schwarzchild solution is the assumption that the velocity of EMR in a gravitational field is independent of wavelength and frequency. An alternate exact solution is derived making the opposite assumption. The resulting metric’s properties include: a) the coordinate velocity of light is frequency dependent and does not predict a black hole and b) the mass parameter has dimensions of volume unlike Schwarzchild’s geometric mass parameter. The implications of these results are discussed.