Explicit and complete junction conditions across internal boundaries are found for the Ricci rotation coefficients and Riemann tensor components in an arbitrary reference tetrad frame; the reference frame may be discontinuous at the boundary. The allowed jumps in inertial and gravitational field dyadics are given for the case of normal boundary motion. When the reference frame is chosen to be comoving with the matter distribution on either side of the boundary, the junction conditions include such immediately physical results as the relativistic Rankine‐Hugoniot relations. It is expected that use of such comoving reference frames will be important in finding discontinuous exact solutions.
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A. Lichnerowicz, Théories Relativistes de la Gravitation et de L’Électromagnétisme (Masson & Cie, Paris, 1955).
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© 1968 The American Institute of Physics.
1968
The American Institute of Physics
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