Abstract
In this article we calculate the total angular momentum for Kerr space-time for slow rotations in the context of teleparallel gravity. In order to analyze the role of such a quantity, we apply Weyl quantization method to obtain a quantum equation for the z-component of the angular momentum density, and for the squared angular momentum density as well. We present an approximate solution using the Adomian decomposition method (AM), which reveals a discrete characteristic for angular momentum.
Highlights
In the old quantum theory, the discrete nature of physical systems played an important role
In this article we have presented the quantization of angular momentum in a slowly rotating Kerr space-time
The angular momentum was obtained in the realm of teleparallel gravity which separates features of gravitational field from matter fields
Summary
In the old quantum theory, the discrete nature of physical systems played an important role. From the point of view of this unification, general relativity has proved flawed, at least refractory to the applications of quantization techniques The root of this behavior lies in the old problem of gravitational energy. In the framework of teleparallel gravity there is a well defined expression for a gravitational energy-momentum tensor [7,8,9], which defines a gravitational angular momentum [10,11] Such an expression is not defined in phase space, which demands a great effort to apply the canonical quantization rules. In this article we use natural unities unless otherwise stated
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