The normalized energy eigenspinors of the Dirac field on anti-de Sitter spacetime
Ion I. Cot\u{a}escu (The West University of Timi\c{s}oara, Romania)
TL;DR
This paper derives normalized energy eigenspinors for the free Dirac field in anti-de Sitter spacetime using a Cartesian tetrad gauge, facilitating separation of variables similar to special relativity.
Contribution
It introduces a method to obtain normalized eigenspinors of the Dirac field in anti-de Sitter spacetime with a specific tetrad gauge, enabling variable separation.
Findings
Derived explicit forms of eigenspinors in anti-de Sitter spacetime.
Established a separation of variables approach analogous to special relativity.
Provided a framework for analyzing Dirac fields in curved spacetime.
Abstract
It is shown how can be derived the normalized energy eigenspinors of the free Dirac field on anti-de Sitter spacetime, by using a Cartesian tetrad gauge where the separation of spherical variables can be done like in special relativity.
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