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Title: The Gross-Pitaevskii equations of a static and spherically symmetric condensate of gravitons
Author: Cunillera García, Francesc
Germani, Cristiano
Keywords: Condensació de Bose-Einstein
Bose-Einstein condensation
Issue Date: 11-Apr-2018
Publisher: Institute of Physics (IOP)
Abstract: In this paper we consider the Dvali and Gómez assumption that the end state of a gravitational collapse is a Bose-Einstein condensate of gravitons. We then construct the two Gross-Pitaevskii equations for a static and spherically symmetric configuration of the condensate. These two equations correspond to the constrained minimisation of the gravitational Hamiltonian with respect to the redshift and the Newtonian potential, per given number of gravitons. We find that the effective geometry of the condensate is the one of a gravastar (a de Sitter star) with a sub-Planckian cosmological constant, for masses larger than the Planck scale. Thus, a condensate corresponding to a semiclassical black hole, is always quantum and weakly coupled. Finally, we obtain that the boundary of our gravastar, although it is not the location of a horizon, corresponds to the Schwarzschild radius.
Note: Versió postprint del document publicat a:
It is part of: Classical and Quantum Gravity, 2018, vol. 35, num. 10, p. 105006
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ISSN: 0264-9381
Appears in Collections:Articles publicats en revistes (Institut de Ciències del Cosmos (ICCUB))
Articles publicats en revistes (Física Quàntica i Astrofísica)

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