English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Prescriptions for measuring and transporting local angular momenta in general relativity

MPS-Authors
/persons/resource/persons192129

Vines,  J.
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (public)

1602.01847.pdf
(Preprint), 226KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-272F-E
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.