Self-gravitating black hole scalar wigs and the MBH − σ relation

ALCUBIERRE, MIGUEL; DEGOLLADO, JUAN CARLOS; NÚÑEZ, DARÍO; BARRANCO, JUAN; DIEZ-TEJEDOR, ALBERTO; SARBACH, OLIVIER; BERNAL, ARGELIA; MEGEVAND, MIGUEL

Congreso; 22nd International Conference on General Relativity and Gravitation; 2019

New solutions of the spherically symmetric Einstein-Klein-Gordon system are derived which represent self-gravitating scalar wigs surrounding Schwarzschild black holes. These configurationsinterpolate between boson star configurations and extremely long-lived scalar field configurations inthe test-field approximation (named quasi-bound states). We speculate about the possibilitythat these configurations could describe the innermost regions of dark matter halos made of ultra-light bosonic dark matter and we explore the region of masses of the scalar field and the resultingmass of the self-gravitating black hole scalar wig that might fit rotational curves of galaxies ordispersion velocities of spiral galaxies. With the latter we will show if it is possible to obtain theMBH − σ relation of Super Massive Black Holes from the Scalar Field Dark Matter.