Bose–Einstein condensed supermassive black holes: A case of renormalized quantum field theory in curved space–time
✍ Scribed by Theo M. Nieuwenhuizen; V. Špička
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 285 KB
- Volume
- 42
- Category
- Article
- ISSN
- 1386-9477
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✦ Synopsis
This paper investigates the question whether a realistic black hole can be in principal similar to a star, having a large but finite redshift at its horizon. If matter spreads throughout the interior of a supermassive black hole with mass M $ 10 9 M , it has an average density comparable to air and it may arise from a Bose-Einstein condensate of densely packed H-atoms. Within the Relativistic Theory of Gravitation with a positive cosmological constant, a bosonic quantum field describing H atoms is coupled to the curvature scalar with dimensionless coupling x. In the Bose-Einstein condensed groundstate an exact, self-consistent solution for the metric occurs for a certain large value of x, quadratic in the black hole mass. It is put forward that x is set by proper choice of the background metric as a first step of a renormalization approach, while otherwise the non-linearities are small. The black hole has a hair, the binding energy. Fluctuations about the ground state are considered.