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Some pure radiation filds in general relativity

Published online by Cambridge University Press:  17 February 2009

R. P. Akabari
Affiliation:
Departments of Mathematics and Statistics, Gujarat University, Ahmedabad-380009, India
U. K. Dave
Affiliation:
Departments of Mathematics and Statistics, Gujarat University, Ahmedabad-380009, India
L. K. Patel
Affiliation:
Departments of Mathematics and Statistics, Gujarat University, Ahmedabad-380009, India
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Abstract

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A Demianski-type metric investigated in connection with Einstein's field equations corresponding to pure radiation fields. With aid of complex vectorical formalism, a general solution of these fiel equations is obtained. The solution is algebraically spcial. A particular case of the solution is considered which includes many known solutions; among them are the raiationg versions of some of Kinnersley's solutions.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Cahen, M., Debever, R. and Defrise, L., “A complex vectorial formalism in general relativity”, J. Math. and Mech. 16 (1967), 761786.Google Scholar
[2]Carmeli, M. and Kaye, M., “Gravitational field of a rotating body”, Ann. Phys. 103 (1977), 97120.CrossRefGoogle Scholar
[3]Coddington, E. A., An introduction to ordinary differential equations (Prentice Hall, New York, 1961), pp. 131136.Google Scholar
[4]Demianski, M., “New Kerr-line space-time”, Phys. Lett. 42 A (1972), 157159.CrossRefGoogle Scholar
[5]Israel, W., “Differential forms in general relativity”, Comm. Dublin Inst. for Adv. Studies A 19 (1970), 2688.Google Scholar
[6]Kerr, R. P., “Gravitational field of a spinning mass as an example of algebraically special metrics”, Phys. Rev. Len. 11 (1963), 237238.CrossRefGoogle Scholar
[7]Kinnersley, W., “Type D vacuum metrics”, J. Math. Phys. 10 (1969), 11951203.CrossRefGoogle Scholar
[8]Newman, E., Tamburino, L. and Unti, T., “Empty-space generalization of the Schwartzschild metric”, J. Math. Phys. 4 (1963), 915923.Google Scholar
[9]Patel, L. K., “Radiating Demianski-type space-times”, Indian J. Pure Appl. Math. 9 (1978), 10191026.Google Scholar
[10]Plebanski, J. F. and Demianski, M., “Rotating charged and uniformly accelerating mass in general relativity”, Ann. Phys. 98 (1976), 98127.Google Scholar
[11]Sachs, R., “Gravitational waves in general relativity VI: The out-going radiation condition”, Proc. Roy. Soc. A 264 (1961), 309338.Google Scholar
[12]Vaidya, P. C., ‘The gravitational field of a radiating star”, Proc. Ind. Acad. Sci. A 33 (1951), 264279.Google Scholar
[13]Vaidya, P. C., “A generalized Kerr-Schild solution of Einstein's equations”, Proc. Camb. Phil. Soc. 75 (1974), 383390.Google Scholar
[14]Vaidya, P. C. and Patel, L. K., “Radiating Kerr metric”, Phys. Rev. D 7 (1973), 35903593.Google Scholar
[15]Vaidya, P. C., Patel, L. K. and Bhatta, P. V., “A Kerr-NUT metric”, Gen. Rel. and Grav. 7 (1976), 701708.CrossRefGoogle Scholar