×

The retarded solution of the scalar wave equation by means of Green’s functions. (English) Zbl 0322.35051


MSC:

35L05 Wave equation
35C15 Integral representations of solutions to PDEs
Full Text: DOI

References:

[1] Fock, V., The Theory of Space, Time and Gravitation, ((1964), Pergamon Press: Pergamon Press London), 317-352
[2] Isaacson, R. A.; Winicour, J., Phys. Rev., 168, 1451 (1968)
[3] Madore, J., Ann. Inst. Henri Poincaré, 12, 365-392 (1970)
[4] Chandrasekhar, S.; Esposito, F. P., Ap. J., 160, 153 (1970)
[5] Bondi, H.; van der Burg, M. G.J.; Metzner, A. W.K., (Proc. Roy. Soc. (London) Ser. A, 269 (1962)), 21 · Zbl 0106.41903
[6] Newman, E.; Penrose, R., J. Math. Phys., 3, 566 (1962)
[7] Dixon, W. G., GRG, 5, 119 (1974)
[8] W. G. Dixon and J. M. Bird; W. G. Dixon and J. M. Bird
[9] DeWitt, B. S.; Brehme, R. W., Ann. Phys. (N.Y.), 9, 220 (1960) · Zbl 0092.45003
[10] Synge, J. L., Relativity: The General Theory (1960), North-Holland: North-Holland Amsterdam · Zbl 0090.18504
[11] Gel’fand, I. M.; Shilov, G. E., (Generalized Functions, Vol. I (1964), Academic Press: Academic Press New York) · Zbl 0115.33101
[12] De Witt, C. M.; DeWitt, B. S., Physics, 1, 3 (1964)
[13] John, R. W., Ann. Physik, 7, 27-36 (1973)
[14] Hawking, S. W.; Ellis, G. F.R., The Large-Scale Structure of Space Time (1973), Cambridge Univ. Press: Cambridge Univ. Press New York · Zbl 0265.53054
[15] Sachs, R. K., (Proc. Roy. Soc. (London) Ser. A, 270 (1962)), 103 · Zbl 0101.43605
[16] Penrose, R., (Proc. Roy. Soc. (London) Ser. A, 284 (1965)), 159 · Zbl 0129.41202
[17] Schouten, J. A., Ricci-Calculus (1954), Springer-Verlag: Springer-Verlag Berlin · Zbl 0057.37803
[18] Trautman, A., (Lectures on General Relativity (1958), King’s College: King’s College London), mimeographed notes
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.