The Relativistic Theory of Gravitation and its Application to Cosmology and Macroscopic Quantum Black Holes

Mathematics – Logic

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Quantum Aspects Of Black Holes, Evaporation, Thermodynamics, Cosmology, Classical General Relativity

Scientific paper

In the Relativistic Theory of Gravitation, space-time is Minkowskian, and gravitation is a physical field, next to electromagnetism. The bimetric coupling of Riemann and Minkowski metrics allows to defines a unique, local gravitational energy density. The case of a positive cosmological constant is considered. For cosmology, the ΛCDM model is covered, while there appears a form of inflation at early times. Furthermore, both the total energy and the zero point energy vanish.
Within this theory an exact solution is presented for the interior of supermassive black holes (M*~108Msolar. They are consistent with a Bose-Einstein condensates of densely packed H-atoms. The solution is regular everywhere with a specific shape at the origin. The redshift at the horizon is finite but large, z~1014M*/M. The problem is exactly and self-consistently solved within a quantum field theoretic approach for the matter. Its direct back-reaction on the metric is 100%. In the BEC ground state, the binding energy equals 71% of the rest energy of the constituting matter. Extension to finite temperatures reveals a T3/2 decay of the entropy. At T = 0 the black hole does not radiate.

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