Near-Horizon Modes and Self-adjoint Extensions of the Schrodinger Operator

Autor(es)

Balachandran, A. P. ; de Queiroz, A. R. ; Saa, Alberto ; Marmo, G ; DeDiego, DM ; Lecanda, MM

• Tipo de documento: Artigo Científico
• Fonte: CLASSICAL AND QUANTUM PHYSICS: 60 YEARS ALBERTO IBORT FEST GEOMETRY, DYNAMICS, AND CONTROL; v. 229, p. 11-pg., 2019-01-01.

Resumo

We investigate the dynamics of scalar fields in the near-horizon exterior region of a Schwarzschild black hole. We show that low-energy modes are typically long-living and might be considered as being confined near the black hole horizon. Such dynamics are effectively governed by a Schrodinger operator with infinitely many self-adjoint extensions parameterized by U(1), a situation closely resembling the case of an ordinary free particle moving on a semiaxis. Even though these different self-adjoint extensions lead to equivalent scattering and thermal processes, a comparison with a simplified model suggests a physical prescription to chose the pertinent self-adjoint extensions. However, since all extensions are in principle physically equivalent, they might be considered in equal footing for statistical analyses of near-horizon modes around black holes. Analogous results hold for any non-extremal, spherically symmetric, asymptotically flat black hole. (AU)

• Processo FAPESP: 13/09357-9 - Física e geometria do espaço-tempo
• Beneficiário: Alberto Vazquez Saa
• Modalidade de apoio: Auxílio à Pesquisa - Temático