Abstract
This paper treats the formulation of the gravitational field variables and the equations obeyed by them at spatial infinity. The variables consist of a three-dimensional tensor and a scalar, which satisfy separate field equations, which in turn can be obtained from two distinct Lagrangians. Aside from Lorentz rotations, the symmetry operations include an Abelian gauge group and an Abelian Lie group, leading to a number of conservation laws and to differential identities between the field equations.
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References
M. Alexander, “Hamiltonian Dynamics at Spatial Infinity,” Ph. D. thesis, 1982, available from University Microfilms, Ann Arbor, Michigan.
M. Alexander and P. G. Bergmann, inProceedings of the Third Marcel Grossman Meeting on General Relativity, Hu Ning, ed. (Science Press and North-Holland Publishing Co., 1983), p. 575.
M. Alexander and P. G. Bergmann,Found. Phys. 14, 925 1984.
P. Sommers,J. Math. Phys. 19, 549 (1978).
R. Beig and B. G. Schmidt, “Einstein's Equations Near Spatial Infinity,” Preprint MPA2, Max-Planck-Institut für Physik und Astrophysik, Garching bei München, 1982.
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This work was partially supported by the National Science Foundation through Grant PHY-8541793 to Syracuse University.
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Alexander, M., Bergmann, P.G. The gravitational field at spatial infinity. Found Phys 16, 445–454 (1986). https://doi.org/10.1007/BF01882728
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DOI: https://doi.org/10.1007/BF01882728