Abstract
The Hamiltonian for the Einstein equations is constructed on an outgoing null cone with the help of the usual null tetrad used in the study of the asymptotical gravitational radiation field.
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References
C. Isham, “Quantum Gravity—An Overview,” inQuantum Gravity 2, C. Isham, R. Penrose, and D. Sciama, eds. (Clarendon Press, Oxford, 1981).
H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner,Proc. Roy. Soc. London A269, 21 (1962).
R. K. Sachs,Proc. Roy. Soc. London A270, 103 (1962).
E. T. Newman and R. Penrose,J. Math. Phys. 3, 566 (1962).
E. T. Newman and T. Unti,J. Math. 3, 891 (1962).
R. A. d'Inverno and J. Smallwood,Phys. Rev. D22, 1233 (1980).
R. Arnowitt, S. Deser, and C. Misner, “The Dynamics of General Relativity,” inGravitation, L. Witten, ed. (Wiley, New York, 1962).
R. Nagarajan and J. N. Goldberg, “Canonical Formalism on a Null Surface: The Scalar and Electromagnetic Fields,” submitted for publication.
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Goldberg, J.N. The Hamiltonian of general relativity on a null surface. Found Phys 14, 1211–1216 (1984). https://doi.org/10.1007/BF01889320
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DOI: https://doi.org/10.1007/BF01889320