New solutions in linearized R + R-squared gravity

Details New solutions in linearized R + R-squared gravity New solutions in linearized R + R-squared gravity

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990an....311..209t&link_type=abstract

Astronomische Nachrichten (ISSN 0004-6337), vol. 311, no. 4, 1990, p. 209-212.

Astronomy and Astrophysics

Astronomy

4

Einstein Equations, Gravitation Theory, Gravitational Fields, String Theory, Bessel Functions, Cauchy Problem, Gravitational Effects, Tensor Analysis

Scientific paper

A general method is presented for solving in linearized approximation the fourth-order field equations which result from higher-derivative theories of gravity with particular Lagrangians. The method is based on the introduction of coordinate conditions involving third-order derivatives of the gravitational potentials. It is shown that when these conditions are satisfied, the linearized field equations reduce to three decoupled systems of second-order equations. The approach considerably simplifies the previous analysis of the particle spectrum for linearized R + R-squared theories performed by Stelle (1978). The reduction to second-order equations makes it easy to determine the metric of a static spherically symmetric body and the gravitational field of a straight infinitely thin cosmic string in the weak-field limit of the R + R-squared theories.

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