Scattering of massless scalar waves by magnetically charged black holes in Einstein-Yang-Mills-Higgs theory

Gussmann, Alexander (2017): Scattering of massless scalar waves by magnetically charged black holes in Einstein-Yang-Mills-Higgs theory. In: Classical and Quantum Gravity, Bd. 34, Nr. 6, 65007

Abstract

The existence of the classical black hole solutions of the Einstein-YangMills- Higgs equations with non-Abelian Yang-Mills-Higgs hair implies that not all classical stationary magnetically charged black holes can be uniquely described by their asymptotic characteristics. In fact, in a certain domain of parameters, there exist different spherically-symmetric, nonrotating and asymptotically-flat classical black hole solutions of the EinsteinYang- Mills-Higgs equations which have the same ADM mass and the same magnetic charge but significantly different geometries in the near-horizon regions. (These are black hole solutions which are described by a ReissnerNordstrm metric on the one hand and the black hole solutions with nonAbelian Yang-Mills-Higgs hair which are described by a metric which is not of Reissner-Nordstrm form on the other hand). One can experimentally distinguish such black holes with the same asymptotic characteristics but different near-horizon geometries classically by probing the near-horizon regions of the black holes. We argue that one way to probe the near-horizon region of a black hole which allows one to distinguish magnetically charged black holes with the same asymptotic characteristics but different nearhorizon geometries is by classical scattering of waves. Using the example of a minimally-coupled massless probe scalar field scattered by magnetically charged black holes which can be obtained as solutions of the Einstein-YangMills- Higgs equations with a Higgs triplet and gauge group SU(2) in the limit of an infinite Higgs self-coupling constant we show how, in this case, the scattering cross sections differ for the magnetically charged black holes with different near-horizon geometries but the same asymptotic characteristics. We find in particular that the characteristic glory peaks in the cross sections are located at different scattering angles.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0264-9381
• Sprache: Englisch