Gauss-Bonnet lagrangian G lnG and cosmological exact solutions
- For the Lagrangian L = G lnG where G is the Gauss-Bonnet curvature scalar we deduce the field equation and solve it in closed form for 3-flat Friedmann models using a state-finder parametrization. Further we show that among all Lagrangians F(G) this L is the only one not having the form G(r) with a real constant r but possessing a scale-invariant field equation. This turns out to be one of its analogies to f(R) theories in two-dimensional space-time. In the appendix, we systematically list several formulas for the decomposition of the Riemann tensor in arbitrary dimensions n, which are applied in the main deduction for n = 4.
| Author details: | Hans-Jürgen Schmidt |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevD.83.083513 |
| ISSN: | 1550-7998 |
| Title of parent work (English): | Physical review : D, Particles, fields, gravitation, and cosmology |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2011 |
| Publication year: | 2011 |
| Release date: | 2017/03/26 |
| Volume: | 83 |
| Issue: | 8 |
| Number of pages: | 7 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
