Conformal relations and Hamiltonian formulation of fourth-order gravity
| dc.creator | Schmidt, H. -J. | |
| dc.date | 1997-12-29 | |
| dc.date.accessioned | 2026-07-07T06:32:26Z | |
| dc.date.available | 2026-07-07T06:32:26Z | |
| dc.description | The conformal equivalence of fourth-order gravity following from a non-linear Lagrangian L(R) to theories of other types is widely known, here we report on a new conformal equivalence of these theories to theories of the same type but with different Lagrangian. For a quantization of fourth-order theories one needs a Hamiltonian formulation of them. One of the possibilities to do so goes back to Ostrogradski in 1850. Here we present another possibility: A Hamiltonian H different from Ostrogradski's one is discussed for the Lagrangian L depending on first and second order drivatives of the position variable q. We add a suitable divergence to L. Contrary to other approaches no constraint is needed. One of the canonical equations becomes equivalent to the fourth-order Euler-Lagrange equation of L. Finally, we discuss the stability properties of cosmological models within fourth-order gravity. | |
| dc.description | 19 pages, LaTeX, no figures, Grav. and Cosmol. to appear February 1998 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9712097 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9712097 | |
| dc.identifier | Grav.Cosmol. 3 (1997) 266-274 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98902 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Conformal relations and Hamiltonian formulation of fourth-order gravity | |
| dc.type | text |