Abstract
The stationary solutions given by Amenedo and Manko generated from known solutions of Laplace’s equation as seed have been generalised to include the electromagnetic field. Further, the exterior solution of an axially symmetric rotating body with higher multipole moments and a solution corresponding to a Kerr object embedded in a gravitational field are given. We also give a method for constructing stationary vacuum solutions from static magnetovac solutions and vice versa and discuss a specific application of this method.
Similar content being viewed by others
References
J Amenedo Cast and V S Manko,Phys. Rev. D41, 2018 (1990)
F J Ernst,Phys. Rev. 167, 1175 (1968a)
F J Ernst,Phys. Rev. 168, 1415 (1968b)
A Tomimatsu and H Sato,Phys. Lett. 29, 1344 (1972)
S Chandrasekhar,Proc. R. Soc. (London) 358, 405 (1978)
W Kinnersley,J. Math. Phys. (N.Y)14, 651 (1973)
W B Bonnor,Z. Phys. 190, 444 (1966)
V S Belinskii and V E Zakharov,Sov. Phys. JETP 48, 985 (1978)
C Hoenselaers, W Kinnersley and B C Xanthopoulos,J. Math. Phys. (N.Y)20, 2530 (1979)
S L Shapiro and S A Teukolsky,Black holes, white dwarfs and neutron stars (Wiley, 1983)
S M Wagh and N Dadhich,Phys. Rep. 183, 137 (1989)
R M Wald,Phys. Rev. D10, 1680 (1974)
F J Ernst,J. Math. Phys. (N.Y)17, 54 (1976)
F J Ernst and W J Wild,J. Math. Phys. (N.Y)17, 182 (1976)
F J Ernst,J. Math. Phys. (N.Y)19, 1986 (1978)
R M Kerns and W J Wild,Gen. Relativ. Gravit. 14, 1 (1982)
K D Krori,J. Math. Phys. (N.Y)25, 607 (1984)
A Tomimatsu,Phys. Lett. A103, 374 (1984)
K D Krori and R Bhattacharjee,J. Math. Phys. (N.Y)27, 1056 (1986)
K D Krori and R Bhattacharjee,J. Math. Phys. (N.Y)31, 147 (1990)
W J Wild and R M Kerns,Phys. Rev. D21, 332 (1980)
W J Wild, R M Kerns and W F Drish, (Jr)Phys. Rev. D23, 829 (1981)
W A Hiscock,J. Math. Phys. (N.Y)22, 1828 (1981)
K D Krori, S Chaudhury and S Dowerali,Can. J. Phys. 61, 1192 (1983)
H Weyl,Ann. Phys. (Leipz)54, 117 (1917)
H Quevedo and B Mashhoon,Phys. Rev. D43, 3902 (1991)
V S Manko and Sh A Khakimov,Phys. Lett. A154, 96 (1991) and references therein
Ts I Gutsunaev and V S Manko,Gen. Relativ. Gravit. 20, 327 (1988)
Ichi Oohara Ken and H Sato,Prog. Theor. Phys. No.656, 1891 (1981)
K C Das,J. Phys. A13, 2985 (1980)
K C Das,Phys. Rev. D31, 927 (1985)
W B Bonnor,Proc. Phys. Soc. 66, 145 (1953)
C Hoenselaers,Prog. Theor. Phys. 67, 697 (1982)
W Isreal and G Wilson,J. Math. Phys. (N.Y.)13, 867 (1972)
D Kramer and G Neugebauer,Ann. Phys. (Leipzig)24, 59 (1969)
K C Das and S Banerji,Phys. Lett. 50, 409 (1975)
M Yamazaki,J. Math. Phys. (N.Y.)19, 1376 (1978)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Das, K.C., Chaudhuri, S. Astrophysically significant solutions of the Einstein and Einstein-Maxwell equations from the Laplace’s seed. Pramana - J Phys 40, 277–289 (1993). https://doi.org/10.1007/BF02845847
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02845847