We analyze the possibility of inequivalent boundary conditions for a scalar field propagating in the BTZ black-hole space-time. We find that for certain ranges of the black-hole parameters, the Klein–Gordon operator admits a one-parameter family of self-adjoint extensions. For this range, the BTZ space-time is not quantum mechanically complete. We suggest a physically motivated method for determining the spectra of the Klein–Gordon operator.
机构:
Polo Sci Univ Firenze, Dipartimento Fis, Via G Sansone 1, I-50019 Sesto Fiorentino, Italy
Ist Nazl Fis Nucl, Sez Firenze, Via G Sansone 1, I-50019 Sesto Fiorentino, ItalyPolo Sci Univ Firenze, Dipartimento Fis, Via G Sansone 1, I-50019 Sesto Fiorentino, Italy
机构:
College of Mathematics and Science, Yangzhou University
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityCollege of Mathematics and Science, Yangzhou University