Parana Journal of Science and Education (PJSE) – v.5, n.1, (41-50) February 21, 2019 ISSN: 2447-6153 https://sites.google.com/site/pjsciencea 41 The General Theory of Relativity, a New Iteration Valery Borisovich Morozov 1 Russian Academy of Sciences, Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russia. To cite this article: Valery Borisovich Morozov, “The General Theory of Relativity, a New Iteration”, Parana Journal of Science and Education, 2019, Vol. 5, No. 1, pp. 41-50. Received: February 4, 2018; Accepted: February 18, 2018; Published: February 21, 2019. Abstract A general theory of relativity is formulated without Einstein’s equation. Einstein’s tensor ties the space metric to the stress-energy tensor of a gravitational field. A homogeneous isotropic field metric is under consideration. In particular, the metric for a homogeneous isotropic universe possesses the anticipated density of our own universe. The speed of time progression at a distance from the observer slows according to an acceleration law asymptotically equal to Hubble’s Law. A continuous field is homogeneous within the limits of small domains. This makes it possible to write a metric for a general continuous field and the single parameter given by the wave equation. The Schwarzschild problem has a continuous solution for r > 0. This solution approaches the Schwarzschild solution beyond the Schwarzschild radius and a second solution is obtained from the Schwarzschild problem - a stationary, expulsive, self-consistent field. Keywords: General Relativity Theory, Gravity field equation, exact solution, Stress-energy solution, Homogeneous universe, Dark energy. 1 Email: valery_morozov@hotmail.com; morozov@lebedev.ru