Euclidean quantum gravity in a Kerr black hole ergosphere

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作者
Juan Ignacio Musmarra
Mariano Anarbitarte
Mauricio Bellini
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[1] Universidad Nacional de Mar del Plata,Departamento de Física, Facultad de Ciencias Exactas y Naturales
[2] Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR),Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET)
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Starting from the dynamics of a scalar field on a Kerr metric, we propose an analytical extension of spacetime coordinates (with Boyer–Lindquist coordinates) for a closed system with no flow at the boundary, and we apply the polynomial conditions for confluent Heun functions with the aim to find the distribution of the energy levels for the scalar field that describes the spacetime inside the ergosphere of a Kerr black hole. We obtain discretizations of the mass and angular momentum that can be motivated from the expression of each energy level.
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