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Title: Energy and angular momentum densities of stationary gravitational fields

Abstract

We give physical explanations of explicit invariant expressions for the energy and angular momentum densities of gravitational fields in stationary spacetimes. These expressions involve nonlocally defined conformal factors. In certain coordinates these become locally defined in terms of the metric. These results are derived via expressions for total gravitational potential energy from the difference between the total energy and the mechanical energy. The latter involves kinetic energy seen in the frame of static observers. When in the axially symmetric case we consider zero angular momentum observers (who move orthogonally to surfaces of constant time), we find that the angular momentum they attribute to the gravitational field is solely due to their motion.

Authors:
;  [1];  [2];  [1];  [3];  [2]
  1. Institute of Astronomy, The Observatories, Cambridge CB3 0HA (United Kingdom)
  2. (Czech Republic)
  3. (Israel)
Publication Date:
OSTI Identifier:
21010910
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.024040; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR MOMENTUM; AXIAL SYMMETRY; COSMOLOGY; DE SITTER GROUP; DENSITY; GRAVITATIONAL FIELDS; KINETIC ENERGY; POTENTIAL ENERGY; QUANTUM FIELD THEORY; SPACE-TIME

Citation Formats

Lynden-Bell, D., Bicak, Jiri, Institute of Theoretical Physics, Charles University, 180 00 Prague 8, Katz, Joseph, Racah Institute of Physics, Givat Ram, 91904 Jerusalem, and Institute of Theoretical Physics, Charles University, 180 00 Prague 8. Energy and angular momentum densities of stationary gravitational fields. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.024040.
Lynden-Bell, D., Bicak, Jiri, Institute of Theoretical Physics, Charles University, 180 00 Prague 8, Katz, Joseph, Racah Institute of Physics, Givat Ram, 91904 Jerusalem, & Institute of Theoretical Physics, Charles University, 180 00 Prague 8. Energy and angular momentum densities of stationary gravitational fields. United States. doi:10.1103/PHYSREVD.75.024040.
Lynden-Bell, D., Bicak, Jiri, Institute of Theoretical Physics, Charles University, 180 00 Prague 8, Katz, Joseph, Racah Institute of Physics, Givat Ram, 91904 Jerusalem, and Institute of Theoretical Physics, Charles University, 180 00 Prague 8. Mon . "Energy and angular momentum densities of stationary gravitational fields". United States. doi:10.1103/PHYSREVD.75.024040.
@article{osti_21010910,
title = {Energy and angular momentum densities of stationary gravitational fields},
author = {Lynden-Bell, D. and Bicak, Jiri and Institute of Theoretical Physics, Charles University, 180 00 Prague 8 and Katz, Joseph and Racah Institute of Physics, Givat Ram, 91904 Jerusalem and Institute of Theoretical Physics, Charles University, 180 00 Prague 8},
abstractNote = {We give physical explanations of explicit invariant expressions for the energy and angular momentum densities of gravitational fields in stationary spacetimes. These expressions involve nonlocally defined conformal factors. In certain coordinates these become locally defined in terms of the metric. These results are derived via expressions for total gravitational potential energy from the difference between the total energy and the mechanical energy. The latter involves kinetic energy seen in the frame of static observers. When in the axially symmetric case we consider zero angular momentum observers (who move orthogonally to surfaces of constant time), we find that the angular momentum they attribute to the gravitational field is solely due to their motion.},
doi = {10.1103/PHYSREVD.75.024040},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}