Published July 7, 2004 | Version v1
Journal article Metadata-only

Lagrangian and Hamiltonian for the Bondi-Sachs metrics

Creators

  • 1. Institute of Theoretical Physics, University of Hannover, Appelstr. 2, D-30167 Hannover (Germany)
  • 2. Institute of Theoretical Physics, University of Warsaw, Hoza 69, 00-681 Warsaw (Poland)

Description

We calculate the Hilbert action for the Bondi-Sachs metrics. It yields the Einstein vacuum equations in a closed form. Following the Dirac approach to constrained systems we investigate the related Hamiltonian formulation. For regular null surfaces the Hamiltonian defines an energy which coincides with the Bondi mass and is positive

Availability note (English)

Available online at http://stacks.iop.org/0264-9381/21/3301/cqg4_13_012.pdf or at the Web site for the journal Classical and Quantum Gravity (ISSN 1361-6382) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/0264-9381/21/3301/cqg4_13_012.pdf; http://www.iop.org/;
DOI
10.1088/0264-9381/21/13/012;
PII
S0264-9381(04)74047-2;

Publishing Information

Journal Title
Classical and Quantum Gravity
Journal Volume
21
Journal Issue
13
Journal Page Range
p. 3301-3308
ISSN
0264-9381
CODEN
CQGRDG

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
35080844
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DIRAC EQUATION; EINSTEIN FIELD EQUATIONS; HAMILTONIANS; LAGRANGIAN FUNCTION; MASS; METRICS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS