Abstract
The integrability conditions for a certain second order ordinary differential equation in two variables are studied via the concept of decomposability of the associated differential operator. The results are applied to regain in a unified manner the known exact solutions for locally rotationally symmetric, spatially homogeneous cosmological models. In addition, new solutions are obtained.
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Communicated by R. Geroch
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Maartens, R., Nel, S.D. Decomposable differential operators in a cosmological context. Commun.Math. Phys. 59, 273–283 (1978). https://doi.org/10.1007/BF01611507
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DOI: https://doi.org/10.1007/BF01611507