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  Prescriptions for measuring and transporting local angular momenta in general relativity

Flanagan, É. É., Nichols, D. A., Stein, L. C., & Vines, J. (2016). Prescriptions for measuring and transporting local angular momenta in general relativity. Physical Review D, 93: 104007. doi:10.1103/PhysRevD.93.104007.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-272F-E Version Permalink: http://hdl.handle.net/21.11116/0000-0002-EBAE-2
Genre: Journal Article

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1602.01847.pdf (Preprint), 226KB
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Flanagan, Éanna É., Author
Nichols, David A., Author
Stein, Leo C., Author
Vines, J.1, Author              
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: For observers in curved spacetimes, elements of the dual space of the set of linearized Poincar\'e transformations from an observer's tangent space to itself can be naturally interpreted as local linear and angular momenta. We present an operational procedure by which observers can measure such quantities using only information about the spacetime curvature at their location. When applied by observers near spacelike or null infinity in stationary, vacuum, asymptotically flat spacetimes, there is a sense in which the procedure yields the well-defined linear and angular momenta of the spacetime. We also describe a general method by which observers can transport local linear and angular momenta from one point to another, which improves previous prescriptions. This transport is not path independent in general, but becomes path independent for the measured momenta in the same limiting regime. The transport prescription is defined in terms of differential equations, but it can also be interpreted as parallel transport in a particular direct-sum vector bundle. Using the curvature of the connection on this bundle, we compute and discuss the holonomy of the transport law. We anticipate that these measurement and transport definitions may ultimately prove useful for clarifying the physical interpretation of the Bondi-Metzner-Sachs charges of asymptotically flat spacetimes.

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 Dates: 2016-02-042016
 Publication Status: Published in print
 Pages: 10 pages, 1 figure, refines aspects of arXiv:1411.4599
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1602.01847
DOI: 10.1103/PhysRevD.93.104007
URI: http://arxiv.org/abs/1602.01847
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 93 Sequence Number: 104007 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258