  The pseudo-complex General Relativity (pc-GR) is further considered. A new
projection method is proposed. It is shown, that the pc-GR introduces
automatically terms into the system which can be interpreted as dark energy.
The modified pseudo-complex Schwarzschild solution is investigated. The dark
energy part is treated as a liquid and possible solutions are discussed. As a
consequence, the collapse of a large stellar mass into a singularity at $r=0$
is avoided and no event-horizon is formed. Thus, black holes don't exist. The
resulting object can be viewed as a gray star. It contains no singularity which
emphasizes, again, that it is not a black hole. The corrections implied by a
charged large mass object (Reissner- Nordstr\"om) and a rotating gray star
(Kerr) are presented. For the latter, a special solution is presented. Finally,
we will consider the orbital speed of a mass in a circular orbit and suggest a
possible experimental verification.
