Computer Science
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..769m&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 17, Aug. 1985, p. 769-781.
Computer Science
53
Cosmology, Gravitation Theory, Isotropic Media, Space-Time Functions, Tensor Analysis, Unified Field Theory, Asymptotic Properties, Quadratic Equations, Quantum Theory, Relativity, Vacuum
Scientific paper
Field equations stemming from a Lagrangian with linear and quadratic terms in the Ricci tensor R-sub-ik are discussed. From the Lagrangian, fourth-order field equations for the metrical tensor g-sub-ik are obtained. Inserting a 3-flat Robertson-Walker line element, the set of their vacuum solutions is enumerated completely. The qualitative behavior and especially the influence of the coupling length terms (which is possibly necessary for the renormalization of quantum gravity) in certain stages of evolution follow from a phase plane analysis. Depending on the sign of coupling, one obtains either exponentially increasing or oscillating solutions at late times as well as special solutions without an initial singularity.
Mueller Volker
Schmidt Hans-Juergen
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