Inverse spinor problems for a gravitational field

Details Inverse spinor problems for a gravitational field Inverse spinor problems for a gravitational field

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989zhetf..96...14b&link_type=abstract

Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki (ISSN 0044-4510), vol. 96, July 1989, p. 14-24. In Russian.

Astronomy and Astrophysics

Astrophysics

Fermions, Gravitational Fields, Relativity, Spinor Groups, Dirac Equation, Hamiltonian Functions, Relativistic Theory, S Matrix Theory, Schwarzschild Metric

Scientific paper

Spherically symmetrical inverse problems for the scattering of 1/2-spin fermions by a gravitational field are analyzed in the context of general relativity. Methods are developed for metric tensor reconstruction from scattering data for the Dirac equation in the Schwarzschild metric. The problem of the relation between the S-matrix and the Hamiltonian operator in a curved space for the neutrino at a fixed zero orbital number and for massless or massive fields with a fixed energy is analyzed. Possible applications of the results of the study in astrophysics are briefly discussed.

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