Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-04-23
Class.Quant.Grav. 20 (2003) 2025-2031
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, to appear in CQG
Scientific paper
10.1088/0264-9381/20/11/305
We find a gravitational wave solution to the linearized version of quadratic gravity by adding successive perturbations to the Einstein's linearized field equations. We show that only the Ricci squared quadratic invariant contributes to give a different solution of those found in Einstein's general relativity. The perturbative solution is written as a power series in the $\beta$ parameter, the coefficient of the Ricci squared term in the quadratic gravitational action. We also show that, for monochromatic waves of a given angular frequency $\omega$, the perturbative solution can be summed out to give an exact solution to linearized version of quadratic gravity, for $0<\omega
Aguiar Odylio Denys
de Araujo Jose Carlos N.
Rey Neto Edgard Casal de
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