Cawley's Counterexample to Dirac's Conjecture as a Curved Spacetime

Details Cawley's Counterexample to Dirac's Conjecture as a Curved Spacetime Cawley's Counterexample to Dirac's Conjecture as a Curved Spacetime

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ijtp...26...83c&link_type=abstract

International Journal of Theoretical Physics, Volume 26, Issue 1, pp.83-89

Physics

Scientific paper

Cawley's counterexample Lagrangian to Dirac's conjecture on dynamical systems is modified to a line element in curved spacetime, and the energy-momentum tensor corresponding to such a spacetime is found. The spacetime obtained satisfies the Einstein field equations and describes a three-dimensional matterfilled universe. It is further shown that such a universe cannot be filled up with other sources, such as a perfect fluid, a scalar field, or an electromagnetic field, without violating the Einstein field equations.

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