INTERACTION ENERGY IN GEOMETROSTATICS

Journal Article · Mon Jul 01 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.131.471· OSTI ID:4668798

Brill, D R; Lindquist, R W

The geometrodynamical description of particles by means of topological features of empty space-time is applied here to the case of N charged masses that are momentarily at rest. These particles are represented by Einstein-Rosen bridges in a manifold that satisfies the time-symmetric initial vaiue equations of gravitation and electromagnetism. Invariant definitions are given for the total mass energy of the system, and for the bare mass of each Einstein-Rosen bridge. These masses characterize various asymptotically Schwarzschildian regions of the manifold and are, therefore, conserved in time. The total mass of the system differs from the sum of the bare masses by contributions from the gravitational and electrostatic interaction energies. It is shown that the interaction energy is always negative, and that it reduces to the classical expression in the limit of large separation between the masses. The shape of the minimal surface associated with each Einstein- Rosen bridge, another invariant feature of the particle, is discussed. The minimal surfaces are also used to characterize manifolds that can be interpreted as a closed universe containing N + 1 particles. (auth)

• Research Organization: Yale Univ., New Haven
• NSA Number: NSA-17-026354
• OSTI ID: 4668798
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 131; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ELECTRIC CHARGES
ELECTROSTATICS
ELEMENTARY PARTICLES
ENERGY
GENERAL RELATIVITY THEORY
GRAVITATION
INTERACTIONS
MASS
MATHEMATICS
PHYSICS
SPACE
TOPOLOGY