Conserved charges in (Lovelock) gravity in first order formalism

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.084013· OSTI ID:21409596

Gravanis, Elias ^[1]

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1. Akropoleos 1 Nicosia 2101 (Cyprus)

We derive conserved charges as quasilocal 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 nonzero torsion. We then recalculate certain known results and derive some new ones in three to six dimensions hopefully enlightening certain aspects of all of them. The quasilocal energy is defined in terms of the metric and not its first derivatives, requiring 'regularization' for convergence in most cases. Counterterms 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 anti-de Sitter (or de Sitter) asymptotics. The emerging scheme is: all is required to remove the divergencies of a Lovelock gravity is a boundary Lovelock gravity.

• OSTI ID: 21409596
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 8; Other Information: DOI: 10.1103/PhysRevD.81.084013; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
CONVERGENCE
DE SITTER SPACE
DIRICHLET PROBLEM
GRAVITATION
HAMILTONIANS
LAGRANGIAN FUNCTION
METRICS
PHASE SPACE
SPIN
ANGULAR MOMENTUM
BOUNDARY-VALUE PROBLEMS
FUNCTIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
PARTICLE PROPERTIES
QUANTUM OPERATORS
SPACE