MGAT4 - Exact Solutions (Physical Aspects) |
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Speaker |
Konkowski, Deborah |
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Co-autors |
Thomas M. Helliwell |
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Talk Title |
Singularity Structure of Space-times with Higher-Order Diverging Differential Curvature Invariants |
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Abstract |
The classical singularity structure of general relativistic space-times is determined by incomplete geodesics and the divergence of scalar polynomials in the curvature. The quantum singularity structure is determined by the essential self-adjointness of scalar wave operators evaluated for test fields in the space-times. Here we discuss a class of space-times with only a higher-order divergence in the scalar polynomials, a class first discussed by P. Musgrave and K. Lake (Class. Quantum Grav. 12 (1995) L39-L41). We show that these spherically symmetric static space-times, which can be in some sense considered classically singular, are unambiguously quantum mechanically non-singular. We hope to shed some light on these highly unusual space-times. |
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