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.
| Original language | English |
|---|---|
| Pages (from-to) | 273-283 |
| Number of pages | 11 |
| Journal | Communications in Mathematical Physics |
| Volume | 59 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Oct 1978 |