Abstract
Important early calculations in (\(3+1\)) cosmological spacetimes were carried out by Audretsch, and Schäfer [1, 2]. Several solutions in a non-cosmological context are [3,4,5,6,7,8,9,10]. In our first example we shall calculate the Fock-Ivanenkocoefficients and the resulting Dirac equations for the Schwarzschild metric (with signature (\(+2\))). The \(\gamma \) matrices are in the standard representation, however because of our signature choice, we have to multiply each of the matrices (B.8), with a factor of \(+i\). Then Eq. (B.9) change sign and Eq. (B.3) holds with \(\varepsilon =+1\).
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Collas, P., Klein, D. (2019). Examples in (\(3+1\)) GR. In: The Dirac Equation in Curved Spacetime. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-14825-6_4
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DOI: https://doi.org/10.1007/978-3-030-14825-6_4
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