Abstract
In connection with the quadrupole formula, three related but different questions can be asked: 1) How does the gravitational radiation field (in some wave zone or at future null infinity) of a nearly isolated system depend on the motion and structure of its sources? 2) How is the motion and the structure of a source emitting gravitational waves affected by this emission, i.e. what are the radiative corrections to the source’s motion? 3) Is there a conservation law linking the energy-momentum carried “to infinity” by gravitational radiation to the loss of energy-momentum by the source?
J. Ehlers was the chairman of workshop A1 “Equations of motions, gravitational radiation and asymptotic structure of spacetime” and of the special session on the “quadrupole formula”.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anderson, J.L.: 1979, “Approximation methods in general relativity”, in J. Ehlers (ed.), Isolated Gravitating Systems in General Relativity, Proc. Int. School of Physics ”Enrico Fermi”, Course 67, North-Holland, Amsterdam, pp. 289–306.
Anderson, J.L.: 1980, “New derivations of the quadrupole formulas and balance equations for gravitationally bound systems”, Rhys. Rev. Lett., 45, 1745.
Anderson, J.L.: 1984a, “A model calculation of radiation damping by the energy balance method”, to appear in Gen. Rel. Grav. J.
Anderson, J.L.: 1984b, “Approximate causal solutions for a class of wave equations with backscatter”, to appear in J. Math. Rhys.
Anderson, J.L., and Heyl, A.: 1984, to appear.
Anderson, J.L., Kates, E., Kegeles, S., and Madonna, R.G.: 1982, “Divergent integrals of post-Newtonian gravity: nonanalytic terms in the near-zone expansion of a gravitationally radiating system found by matching”, Rhys. Rev., D25, 2038.
Anderson, J.L., and Madonna, R.G.: 1984, to appear.
Chandrasekhar, S., and Lsposito, F.P.: 1970, “The 2½ post-Newtonian equations of hydrodynamics and radiation reaction in general relativity”, Astrophys. J.,160, 153.
Cooperstock, F.I.: 1974, “Axially symmetric two-body problem in general relativity”, Phys. Rev., D10, 3171.
Cooperstock, F.I.: 1982a, “Axially symmetric two-body problem in general relativity. IV. Boundary conditions time scales, and the quadrupole formula”, Phys. Rev., D25, 3126.
Cooperstock, F.I.s 1982b, “Replay to the comments of Walker and Will regarding the axially symmetric two-body problem”, Phys. Rev., D25, 3438.
Cooperstock, F.I., and Hobill, D.W.: 1979, “Mass loss and the failure of the quadrupole formula”, Phys. Rev., D20, 2995.
Cooperstock, F.I., and Hobill, D.W.: 1979, “Axially symmetric two-body problem in general relativity. III. Bondi mass loss and the failure of the quadrupole formula”, Phys. Rev., D20, 2995.
Ehlers, J.: 1977, “Weak-field approximations and equations of motion in general relativity”, in R. Ruffini, J. Ehlers, and C.W.F. Everitt (eds), Proc. Int. School of General Relativistic Effects in Physics and As trophy sics: Experiments and Theory Institute Report MPI-PAE/Astro 138, MPI für Astrophysik, D-8046 Garching, FRG.
Ehlers, J.: 1981, “Über den Newtonschen Grenzwert der Einsteinschen Gravitationstheorie”, in J. Nitsch, J. Pfarr, and E.-W. Stochow (eds), Grundlagenprobleme der Modernen Physik, B.I.-Wissenschaftsverlag, Mannheim.
Fock, V.: 1959, The theory of space, time and gravitation, Pergamon Press, London, p. 342.
Futamase, T.: 1983, “Gravitational radiation reaction in the Newtonian limit”, Phys. Rev., D28, 2373.
Futamase, T., and Schutz, B.F.: 1983, “Newtonian and post-Newtonian approximations are asymptotic to general relativity”, Phys. Rev., D28, 2363.
Gürses, M., and Walker, M.: 1984, “A finite slow-motion approximation method for self-gravitating systems”, Phys. Lett., A101, 15.
Kates, R.E.: 1982, “Gravitational radiation reaction in quasi-static axially symmetric systems with possibly strong fields”, Institute Report, Institüt für Astrophysik, MPA20, to appear in Phys. Rev., D.
Künzle, H.P., and Nester, J.M.: 1983, “Hamiltonian formulation of gravitating perfect fluids and the Newtonian limit”, Institute Report MPA58, to appear in J. Math. Phys.
Morgan, T., and Bondi, H.: 1970, “Transfer of energy in general relativity”, Rroc. Roy. Soc. London, A320, 277.
Price, R., and Thorne, K.S.: 1969, “Non-radial pulsation of general relativistic stellar models”, II, Astrophys.J., 155, 163.
Schäfer, G.: 1982, “Radiation reaction and energy loss for gravitationally bound systems”, Prog. Theor. Phys., 68, 2191.
Synge, J.L.: 1970, “Equations of motion in general relativity”, Proa. Res. Inst. Atmos. 69, sect. A, 11–38.
Thorne, K.S., and Kovacs, J.: 1975, “The generation of gravitational fields, I. Weak-field sources”, Astrophys. J., 200, 245.
Walker, M., and Will, C.M.: 1982, “Axially symmetric two-body problem of Cooperstock, Lim and Hobill”, Phys. Rev., D25, 3433.
Will, C.M.: 1983, “Tidal gravitational radiation from homogeneous stars”, Astrophys. J, 274, 858.
Winicour, J.: 1983, “Newtonian gravity on the null cone”, University of Pittsburgh preprint.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 D. Reidel Publishing Company
About this chapter
Cite this chapter
Ehlers, J., Walker, M. (1984). Gravitational Radiation and the ‘Quadrupole’ Formula Report of Workshop A1. In: Bertotti, B., de Felice, F., Pascolini, A. (eds) General Relativity and Gravitation. Fundamental Theories of Physics, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6469-3_9
Download citation
DOI: https://doi.org/10.1007/978-94-009-6469-3_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-6471-6
Online ISBN: 978-94-009-6469-3
eBook Packages: Springer Book Archive