Linearized R + R-squared gravity - A new gauge and new solutions

Details Linearized R + R-squared gravity - A new gauge and new solutions Linearized R + R-squared gravity - A new gauge and new solutions

Feb 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6..219t&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Feb. 1, 1989, p. 219-229.

Physics

39

Field Theory (Physics), Gauge Theory, Gravitation Theory, Differential Equations, Matter (Physics), Metric Space, Symmetry, Tensors

Scientific paper

The linearized fourth-order field equations are studied for gravitational theories with given Lagrangians. It is shown that a suitable choice of coordinate conditions involving third derivatives of the potentials leads directly to the general solution of these equations. Appropriate junction conditions across a timelike or spacelike hypersurface of discontinuity are stated. Using these junction conditions and assuming the metric to be asymptotically flat at spatial infinity, the potentials of an isolated static body are determined for a particular case. The new gauge yields the corresponding metric in a spatially isotropic form. The results are applied to a static spherically symmetric body. The potentials are obtained in a simple integral form when the rest-mass density of matter depends upon the distance from the center.

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