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arXiv · 0910.5377

Bose-Einstein condensed supermassive black holes: a case of renormalized quantum field theory in curved space-time

Theo M. Nieuwenhuizen·Vaclav Spicka
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Abstract

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 $M\sim10^9M_\odot$, 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 $ξ$. In the Bose-Einstein condensed groundstate an exact, self-consistent solution for the metric occurs for a certain large value of $ξ$, quadratic in the black hole mass. It is put forward that $ξ$ 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.

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Theo M. Nieuwenhuizen, Vaclav Spicka. 2009-10-28. Bose-Einstein condensed supermassive black holes: a case of renormalized quantum field theory in curved space-time. https://doi.org/10.1016/j.physe.2009.10.040

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