Conformal relations and Hamiltonian formulation of fourth order gravity
Sep, 199719 pages
Published in:
- Grav.Cosmol. 3 (1997) 266-274
e-Print:
- gr-qc/9712097 [gr-qc]
Report number:
- UNIPO-MATH-97-29
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Abstract: (arXiv)
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.Note:
- Submitted to Grav.Cosmol.
- talk: Ulyanovsk 1997/09/01
- gravitation: higher-order
- Hamiltonian formalism
- invariance: conformal
- cosmological model
- stability
- mechanics: classical
- Lagrangian formalism
- bibliography
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