Physics
Scientific paper
Apr 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..353s&link_type=abstract
General Relativity and Gravitation, vol. 9, Apr. 1978, p. 353-371.
Physics
312
Field Theory (Physics), Gravitation Theory, Mathematical Models, Einstein Equations, Gravitational Fields, Potential Theory
Scientific paper
The classical features of higher-derivative gravitational-field models derived from actions that include both the Hilbert action and certain four-derivative terms are examined. It is found that the static spherically symmetric solutions to the field equations derived from such an action either reduce asymptotically to the sum of a Newtonian and two Yukawa potentials or are unbounded at infinity and must be eliminated by boundary conditions. Analysis of the field dynamics shows that the gravitational field has eight degrees of freedom, two corresponding to the usual massless spin-two graviton, five more corresponding to a massive spin-two excitation of negative energy, and the last to a massive scalar. This decomposition is carried out into the various individual helicity components using the transverse-traceless decomposition of symmetric tensor. The massive excitations are separated from the massless ones by introducing auxiliary oscillator variables, in terms of which the Lagrangian may be separated into a sum of Lagrangians for the Einstein, Pauli-Fierz, and massive scalar fields.
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