Phys. Rev. 168, 1445–1450 (1968)Stable States of a Scalar Particle in Its Own Gravational FieldReceived 1 August 1967; revised 2 January 1968; published in the issue dated April 1968 Structures similar to classical geons are constructed using a matter field described by the Klein-Gordon equation. The matter field creates a gravitational field which interacts with the matter. The coupled system has stable, bound states. A spectrum of states is shown to exist with masses of the order of 10-10 kg. A variational principle is derived which is in precise analogy with the Rayleigh-Ritz principle of conventional quantum mechanics. © 1968 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRev.168.1445
DOI:
10.1103/PhysRev.168.1445
PACS:
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