Covariant change of signature in classical relativity

Details Covariant change of signature in classical relativity Covariant change of signature in classical relativity

Oct 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gregr..24.1047e&link_type=abstract

General Relativity and Gravitation, Volume 24, Issue 10, pp.1047-1068

Computer Science

48

Scientific paper

This paper gives a covariant formalism enabling investigation of the possibility of change of signature in classical General Relativity, when the geometry is that of a Robertson-Walker universe. It is shown that such changes are compatible with the Einstein field equations, both in the case of a barotropic fluid and of a scalar field. A criterion is given for when such a change of signature should take place in the scalar field case. Some examples show the kind of resulting exact solutions of the field equations.

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