Meron and elliptic solutions in conformally flat space-time

Physics

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Conformal Mapping, Einstein Equations, Elementary Particles, Elliptic Functions, Relativity, Space-Time Functions, Cosmology, Gravitational Fields, Ideal Fluids, Plane Waves

Scientific paper

The idea recently advanced by Papini (1980) that particles arise as distortions of a Riemannian background is pursued further. Such distortions represent conformally flat solutions of Einstein's 'cosmological' equations with extremely large 'cosmological' constant. It is shown in particular the merons can be generated by perfect fluid or neutral superfluid distributions of energy and momentum. Perfect fluids can also generate elliptic plane waves of the type discussed by Petiau (1958).

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