Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-04-19
Phys.Rev.D49:6354,1994; Erratum-ibid.D54:7906,1996
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
38 pages, LaTeX, no figures, Phys. Rev. D 49 (1994) 6354; the Erratum Phys. Rev. D 54 (1996) 7906 clarifies that a spatially f
Scientific paper
10.1103/PhysRevD.49.6354 10.1103
We analyze the presumptions which lead to instabilities in theories of order higher than second. That type of fourth order gravity which leads to an inflationary (quasi de Sitter) period of cosmic evolution by inclusion of one curvature squared term (i.e. the Starobinsky model) is used as an example. The corresponding Hamiltonian formulation (which is necessary for deducing the Wheeler de Witt equation) is found both in the Ostrogradski approach and in another form. As an example, a closed form solution of the Wheeler de Witt equation for a spatially flat Friedmann model and L=R\sp 2 is found. The method proposed by Simon to bring fourth order gravity to second order can be (if suitably generalized) applied to bring sixth order gravity to second order. In the Erratum we show that a spatially flat Friedmann model need not be geodesically complete even if the scale factor a(t) is positive and smooth for all real values of the synchronized time t.
No associations
LandOfFree
Stability and Hamiltonian formulation of higher derivative theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stability and Hamiltonian formulation of higher derivative theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability and Hamiltonian formulation of higher derivative theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-630025