Quantum collapse of a thin shell revisited

نویسندگان

چکیده

There are several possible choices of the time parameter for canonical description a self-gravitating thin shell, but quantum thories built on different parameters lead to unitarily inequivalent descriptions. We compare collapse dust shell in two times {\it viz.,} coordinate interior (originally addressed \cite{hajicek92a}) and comoving observer (proper time). In each case, we obtain exact solutions Wheeler-DeWitt equation requiring only finite well behaved $U(1)$ current. The theories complementary highlights role played by Planck mass: stationary states positive energy exist if rest mass smaller than mass. proper they when is greater} there both scattering bound with defined spectrum. states, whose spectrum determine.

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ژورنال

عنوان ژورنال: Physical review

سال: 2022

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.105.086020