Quantum Cosmology With R+R^2 Gravity
| dc.creator | Sanyal, A. K. | |
| dc.creator | Modak, B. | |
| dc.date | 2001-07-21 | |
| dc.date.accessioned | 2026-07-07T11:46:17Z | |
| dc.date.available | 2026-07-07T11:46:17Z | |
| dc.description | Canonical quantization of an action containing curvature squared term requires introduction of an auxiliary variable. Boulware etal[1] prescribed a technique to choose such a variable, by taking derivative of an action with respect to the highest derivative of the field variable, present in the action.It has been shown that[2] this technique can even be applied in situations where introduction of auxiliary variables are not at all required, leading to wrong Wheeler-deWitt equation. It has also been pointed out that[2] Boulware etal's[1] prescription should be taken up only after removing all removable total derivative terms from the action. Once this is done only a unique description of quantum dynamics would emerge. For curvature squared term this technique yields, for the first time, a quantum mechanical probability interpretation of quantum cosmology, and an effective potential, whose extremization leads to Einstein's equation. We conclude that Einstein-Hilbert action should essentially be modified by at least a curvature squared term to get a quantum mechanical formulation of quantuum cosmology and hence extend our previous work[2] for such an action along with a scalar field. | |
| dc.description | 8 pages, Latex2e | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0107070 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0107070 | |
| dc.identifier | Class.Quant.Grav.19:515-526,2002 | |
| dc.identifier | doi:10.1088/0264-9381/19/3/307 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202173 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Quantum Cosmology With R+R^2 Gravity | |
| dc.type | text |