We point out a structural similarity between the characterization

of black hole apparent horizons as stable marginally outer trapped

surfaces (MOTS) and the quantum description of a non-relativistic

charged particle moving in given magnetic and electric fields on a

closed surface. Specifically, the MOTS-spectral problem corresponds to

a stationary quantum particle with a formal fine-structure constant

$\alpha$ of negative sign. Such analogy may provide clues to the study

of the spectrum of the (non-selfadjoint) MOTS-stability operator

in comparison with the (selfadjoint) Hamiltonian of the quantum

charged particle. Moreover, this perspective might open an avenue

to the spinorial treatment of apparent horizon (MOTS-)stability and to

the introduction of semiclassical tools to explore some of the

qualitative aspects of the black hole spectral problem. - Room G. O. Jones 516

Series:

The London Relativity and Cosmology Seminar

Speaker:

Jose Luis Jaramillo

Date:

December 3rd, 2014 at 16:30

Room:

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Abstract: