The Definition of Density in General Relativity

Ernst Fischer
2017 International Journal of Astronomy and Astrophysics International Journal of Astronomy and Astrophysics  
According to general relativity the geometry of space depends on the distribution of matter or energy fields. The relation between the locally defined geometry parameters and the volume elements depends on curvature. Thus integration of local properties like energy density, defined in the Euclidean tangent space, does not lead to correct integral data like total energy. To obtain integral conservation, a correction term must be added to account for the curvature of space. This correction term
more » ... s correction term is the equivalent of potential energy in Newtonian gravitation. With this correction the formation of singularities by gravitational collapse does no longer occur and the so called dark energy finds its natural explanation as potential energy of matter itself.
doi:10.4236/ijaa.2017.74025 fatcat:sjcqbkjgivev7kh75j2m2q3c7y