2009

Null Geodesic Congruences, Asymptotically Flat Space-Times and Their Physical Interpretation

Adamo, T. M., Newman, E. T., Kozameh, C. N.

Understand

Shear-free or asymptotically shear-free null geodesic congruences possess a large number of fascinating geometric properties and to be closely related, in the context of general relativity, to a variety of physically significant affects.

It is the purpose of this paper to develop these issues and find applications in GR.
The applications center around the problem of extracting interior physical properties of an asymptotically flat space-time directly from the asymptotic gravitational (and Maxwell) field itself in analogy with the determination of total charge by an integral over the Maxwell field at infinity or the identification of the interior mass (and its loss) by (Bondi's) integrals of the Weyl tensor, also at infinity.
More specifically we will see that the asymptotically shear-free congruences lead us to an asymptotic definition of the center-of-mass and its equations of motion.

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Similar

Hansen, R.O., and Newman, E.T., “A complex Minkowski space approach to twistors”, Gen. Relativ. Gravit
1975
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Newman, E.T., “Heaven and Its Properties”, Gen. Relativ. Gravit
1976
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Ko, M., Newman, E.T., and Tod, K.P., “ ℋ \mathcal{H} -Space and Null Infinity”, in Esposito, F.P., and Witten, L., eds., Asymptotic Structure of Space-Time
1977
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Hansen, R.O., Newman, E.T., Penrose, R., and Tod, K.P., “The Metric and Curvature Properties of ℋ \mathcal{H} -Space”, Proc. R. Soc. London, Ser. A
1978
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Sommers, P., “The geometry of the gravitational field at spacelike infinity”, J. Math. Phys
1978
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Hallidy, W., and Ludvigsen, M., “Momentum and Angular Momentum in the H-space of Asymptotically flat, Einstein-Maxwell Space-times”, Gen. Relativ. Gravit
1979
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Newman, E.T., and Tod, K.P., “Asymptotically flat space-times”, in Held, A., ed., General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein
1980
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Penrose, R., and Rindler, W., Spinors and space-time, Vol. 1: Two-spinor calculus and relativistic fields
1984
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Penrose, R., and Rindler, W., Spinors and space-time, Vol. 2: Spinor and twistor methods in space-time geometry
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1990
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Then

Frauendiener, J., “Conformal Infinity”, Living Rev. Relativity
2004
Later among the works it cites.
Newman, E.T., “Maxwell fields and shear-free null geodesic congruences”, Class. Quantum Grav
2004
Later among the works it cites.
Kozameh, C.N., and Newman, E.T., “Electromagnetic dipole radiation fields, shear-free congruences and complex centre of charge world lines”, Class. Quantum Grav
2005
Later among the works it cites.
Kozameh, C.N., and Newman, E.T., “The large footprints of H-space on asymptotically flat spacetimes”, Class. Quantum Grav
2005
Later among the works it cites.
Bramson, B., “Do electromagnetic waves harbour gravitational waves?”, Proc. R. Soc. London, Ser. A
2006
Later among the works it cites.
Corvino, J., and Schoen, R.M., “On the asymptotics for the vacuum Einstein constraint equations”, J. Differ. Geom
2006
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Dragomir, S., and Tomassini, G., Differential Geometry and Analysis on CR Manifolds
2006
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Kozameh, C.N., Newman, E.T., and Silva-Ortigoza, G., “On the physical meaning of the Robinson–Trautman–Maxwell fields”, Class. Quantum Grav
2006
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Newman, E.T., “Asymptotic twistor theory and the Kerr theorem”, Class. Quantum Grav
2006
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Newman, E.T., and Nurowski, P., “CR structures and asymptotically flat spacetimes”, Class. Quantum Grav
2006
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Newman, E.T., and Silva-Ortigoza, G., “Tensorial spin-s harmonics”, Class. Quantum Grav
2006
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Kozameh, C.N., Newman, E.T., Santiago-Santiago, J.G., and Silva-Ortigoza, G., “The universal cut function and type II metrics”, Class. Quantum Grav
2007
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Adamo, T.M., and Newman, E.T., “The gravitational field of a radiating electromagnetic dipole”, Class. Quantum Grav
Original
2008
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Hill, C. D., Lewandowski, J., and Nurowski, P, “Einstein’s equations and the embedding of 3-dimensional CR manifolds”, Indiana Univ. Math. J
Original
2008
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Kozameh, C.N., Newman, E.T., and Silva-Ortigoza, G., “On extracting physical content from asymptotically flat spacetime metrics”, Class. Quantum Grav
Original
2008
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Adamo, T.M., and Newman, E.T., “Asymptotically stationary and static spacetimes and shear free null geodesic congruences”, Class. Quantum Grav
Original
2009
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Adamo, T.M., and Newman, E.T., “Electromagnetically induced gravitational perturbations”, Class. Quantum Grav
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2009
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Adamo, T.M., and Newman, E.T., “Vacuum non-expanding horizons and shear-free null geodesic congruences”, Class. Quantum Grav
Original
2009
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Newman, E.T., and Penrose, R., “Spin-coefficient formalism”, Scholarpedia
2009
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Szabados, L.B., “Quasi-Local Energy-Momentum and Angular Momentum in General Relativity”, Living Rev. Relativity
2009
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Adamo, T.M., and Newman, E.T., “The Generalized Good Cut Equation”, Class. Quantum Grav
Original
2010
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Adamo, T.M., and Newman, E.T., “The real meaning of complex Minkowski-space world-lines”, Class. Quantum Grav
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2010
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Mason, L. J., and Skinner, D., “Gravity, Twistors and the MHV Formalism”, Commun. Math. Phys
Original
2010
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Adamo, T., Bullimore, M., Mason, L., and Skinner, D., “Scattering amplitues and Wilson loops in twistor space”, J. Phys.A
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2011
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Adamo, T.M., and Newman, E.T., “Light cones in relativity: Real, complex and virtual, with applications”, Phys.Rev
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2011
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Newman, E.T., “Newton’s second law, radiation reaction and type II Einstein-Maxwell fields”, Class. Quantum Grav
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2011
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