Cosmology without singularity and nonlinear gravitational Lagrangians

Details Cosmology without singularity and nonlinear gravitational Lagrangians Cosmology without singularity and nonlinear gravitational Lagrangians

May 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..453k&link_type=abstract

General Relativity and Gravitation, vol. 14, May 1982, p. 453-469.

Mathematics

98

Cosmology, Einstein Equations, Gravitation Theory, Relativity, Singularity (Mathematics), Asymptotic Methods, Gravitational Waves, Mathematical Models, Nonlinear Equations, Saturation, Space-Time Functions

Scientific paper

The generalized Einstein equations derived from the Lagrangian which is an arbitrary function of R, is investigated. The importance of the saturation phenomenon is underlined, which may replace the role of a cosmological constant. The spherically symmetric homogeneous model is analyzed in more detail, and an approximate solution without singularity is constructed using the method of matched asymptotic expansions.

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