标题： 伪复数广义相对论：施瓦茨希尔德、雷斯纳-诺德斯特罗姆和克尔解 显示英文标题

标题： Pseudo-Complex General Relativity: Schwarzschild, Reissner-Nordström and Kerr Solutions

摘要： 伪复数广义相对论（pc-GR）进一步被考虑。 一种新的投影方法被提出。 结果显示，pc-GR会自动引入系统中可以解释为暗能量的项。 研究了修正的伪复数施瓦茨希尔德解。 暗能量部分被当作液体处理，并讨论了可能的解。 因此，避免了大质量恒星在$r=0$处坍缩成奇点，也不会形成事件视界。 因此，黑洞不存在。 产生的物体可以看作是一颗灰星。 它不含奇点，再次强调它不是黑洞。 给出了由带电大质量物体（Reissner-Nordström）和旋转灰星（Kerr）所暗示的修正。 对于后者，给出一个特殊解。 最后，我们将考虑质量在圆轨道中的轨道速度，并建议一种可能的实验验证。 显示英文摘要

摘要： 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.