Stable States of a Scalar Particle in Its Own Gravational Field

Feinblum, David A.; McKinley, William A.

doi:10.1103/PhysRev.168.1445

Stable States of a Scalar Particle in Its Own Gravational Field

Apr 25, 1968

Published in:

Phys.Rev. 168 (1968) 5, 1445

Published: Apr 25, 1968

DOI:

10.1103/PhysRev.168.1445

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Abstract: (APS)

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}^{\ensuremath{-}10} kg. A variational principle is derived which is in precise analogy with the Rayleigh-Ritz principle of conventional quantum mechanics.

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