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Aspects of Solutions of Massive Spin-3/2 Equation in Schwarzschild Space-Time

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Abstract

The general massive spin-(3/2) (Rarita–Schwinger) field equation in Schwarzschild geometry, previously separated by variable separation, is further studied. The orthogonality of the solutions of the angular equations is exploited. The study of the radial equations, that are proposed in the most detailed form, is reduced to the study of four coupled differential equations. The equations are discussed and integrated near the Schwarzschild radius and for zero and large values of the radial coordinate. A covariant product of states is considered that is induced by a conserved current. It is shown the existence of states that are bound in the scalar product without implying the existence of a discrete energy spectrum.

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Authors and Affiliations

  1. Dipartimento di Fisica dell’Università, Via Celoria 16, 20133, Milano, Italy

    Antonio Zecca

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Milano, Italy

    Antonio Zecca

  3. Gruppo Nazionale per la Fisica Matematica, Sesto Fiozentino (Fi), Italy

    Antonio Zecca

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  1. Antonio Zecca
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Correspondence to Antonio Zecca.

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Zecca, A. Aspects of Solutions of Massive Spin-3/2 Equation in Schwarzschild Space-Time. Int J Theor Phys 46, 3060–3066 (2007). https://doi.org/10.1007/s10773-007-9419-x

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  • DOI: https://doi.org/10.1007/s10773-007-9419-x

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