Exact Nonnull Wavelike Solutions to Gravity with Quadratic Lagrangians

Details Exact Nonnull Wavelike Solutions to Gravity with Quadratic Lagrangians Exact Nonnull Wavelike Solutions to Gravity with Quadratic Lagrangians

1999-04-04

arxiv.org/abs/gr-qc/9904007v1

Int.J.Mod.Phys.A9:167-179,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, no tables or diagrams, LaTex2e

Scientific paper

10.1142/S0217751X9400008X

Solutions to gravity with quadratic Lagrangians are found for the simple case where the only nonconstant metric component is the lapse $N$ and the Riemann tensor takes the form $R^{t}_{.itj}=-k_{i}k_{j}, i,j=1,2,3$; thus these solutions depend on cross terms in the Riemann tensor and therefore complement the linearized theory where it is the derivatives of the Riemann tensor that matter. The relationship of this metric to the null gravitational radiation metric of Peres is given. Gravitaional energy Poynting vectors are construcetd for the solutions and one of these, based on the Lanczos tensor, supports the indication in the linearized theory that nonnull gravitational radiation can occur.

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