The Einstein equation for signature type changing spacetimes

Details The Einstein equation for signature type changing spacetimes The Einstein equation for signature type changing spacetimes

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994rspsa.446..115k&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0962-8444), vol. 446, no. 1926, p. 115-

Physics

15

Einstein Equations, Existence Theorems, Gravitation Theory, Momentum Theory, Quantum Theory, Space-Time Functions, Uniqueness Theorem, Dust, Riemann Manifold, Scalars, Signatures, Tensors

Scientific paper

We give a local existence and uniqueness theorem for solutions of Einstein's equations with dust energy momentum tensor in the class of m-dimensional, analytic, transverse, signature type changing spacetimes where the initial conditions are given on the hypersurface of signature type change. We also prove a similar theorem in the case that the energy momentum tensor represents a scalar field.

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