Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1993-05-13
Class.Quant.Grav.11:1087-1132,1994
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
61 pages, ITP 93-13
Scientific paper
10.1088/0264-9381/11/5/003
Related to the classical Ashtekar Hamiltonian, there have been discoveries regarding new classical actions for gravity in (2+1)- and (3+1)-dimensions, and also generalizations of Einstein's theory of gravity. In this review, I will try to clarify the relations between the new and old actions for gravity, and also give a short introduction to the new generalizations. The new results/treatments in this review are: 1. A more detailed constraint analysis of the Hamiltonian formulation of the Hilbert- Palatini Lagrangian in (3+1)-dimensions. 2. The canonical transformation relating the Ashtekar- and the ADM-Hamiltonian in (2+1)-dimensions is given. 3. There is a discussion regarding the possibility of finding a higher dimensional Ashtekar formulation. There are also two clarifying figures (in the beginning of chapter 2 and 3, respectively) showing the relations between different action-formulations for Einstein gravity in (2+1)- and (3+1)-dimensions.
No associations
LandOfFree
Actions for Gravity, with Generalizations: A Review 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 Actions for Gravity, with Generalizations: A Review, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Actions for Gravity, with Generalizations: A Review will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-52538