Paper preprint:

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Keywords:

general relativity, quantum gravity, quantum cosmology, Bohr-Sommerfeld States, Israel junction conditions, relativistic shells, WKB (semiclassical) approximation, conjugate momentum.

Project goals:

to present a model in which it is possible to calculate WKB states of a general relativistic system.

Project results:

Some preliminary (numerical) results for the WKB quantum states of a pressurless dust shell separating two domains of anti de Sitter spacetime are presented.

Short Description.

Israel junction conditions are a very handy tool to formulate the description of the dynamics of two spacetime domains separated by an infinitesimally thick layer of matter energy.

We show in this short work how it could be possible to implement the Bohr-Sommerfeld quantization condition on this system, briefly discussing some general features and presenting some preliminary numerical results in a specific case (in which a pressurless dust shell separates two domains of anti de Sitter spacetime).

The specific example suggested here could be ineteresting, after suitable generalizations, to investigate some semiclassical properties in the context of the brane cosmological scenario.

Additional material: