Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14279/14217
Title: | Conserved charges in (Lovelock) gravity in first order formalism |
Authors: | Gravanis, Elias |
Major Field of Science: | Engineering and Technology |
Field Category: | Civil Engineering |
Keywords: | Gravitation;Algebra;Cosmological constant |
Issue Date: | 6-Apr-2010 |
Source: | Physical Review D - Particles, Fields, Gravitation and Cosmology, 2010, vol. 81, no. 8 |
Volume: | 81 |
Issue: | 8 |
Journal: | Physical Review D |
Abstract: | We derive conserved charges as quasi-local Hamiltonians by covariant phase space methods for a class of geometric Lagrangians that can be written in terms of the spin connection, the vielbein and possibly other tensorial form fields, allowing also for non-zero torsion. We then re-calculate certain known results and derive some new ones in three to six dimensions hopefully enlightening certain aspects of all of them. The quasi-local energy is defined in terms of the metric and not its first derivatives, requiring `regularization' for convergence in most cases. Counter-terms consistent with Dirichlet boundary conditions in first order formalism are shown to be an efficient way to remove divergencies and derive the values of conserved charges, the clear-cut application being metrics with AdS (or dS) asymptotics. The emerging scheme is: all is required to remove the divergencies of a Lovelock gravity is a boundary Lovelock gravity. |
ISSN: | 24700029 |
DOI: | 10.1103/PhysRevD.81.084013 |
Rights: | © The American Physical Society |
Type: | Article |
Affiliation : | Cyprus University of Technology |
Publication Type: | Peer Reviewed |
Appears in Collections: | Άρθρα/Articles |
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