Elliptic functions in spherically symmetric solutions of Einstein's equations
Annales de l'I.H.P. Physique théorique, Tome 40 (1984) no. 3, pp. 235-271. 
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     author = {McVittie, G. C.},
     title = {Elliptic functions in spherically symmetric solutions of {Einstein's} equations},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {235--271},
     publisher = {Gauthier-Villars},
     volume = {40},
     number = {3},
     year = {1984},
     mrnumber = {770083},
     zbl = {0575.53046},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1984__40_3_235_0/}
}
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McVittie, G. C. Elliptic functions in spherically symmetric solutions of Einstein's equations. Annales de l'I.H.P. Physique théorique, Tome 40 (1984) no. 3, pp. 235-271. http://archive.numdam.org/item/AIHPA_1984__40_3_235_0/

M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1972, Sec. 18.

A. Banerjee and S. Banerji, Acta Phys. Polonica, t. B7, 1976, p. 389.

H. Bondi, Mon. Not. R. astr. Soc., t. 142, 1969, p. 333. | Zbl

W.B. Bonnor and M.C. Faulkes, Mon. Not. R. astr. Soc., t. 137, 1967, p. 239.

N. Chakravarty, S.B.D. Choudhury and A. Banerjee, Aust. J. Phys., t. 29, 1976, p. 113.

P.A.M. Dirac, Proc. R. Soc. Lond., A365, 1979, p. 19. See also in On the Path of Albert Einstein, Eds. B. Kursunoglu, A. Perlmutter, L. F. Scott., Plenum Press, New York, 1979, p. 1-13.

M.C. Faulkes, Prog. Theor. Phys., t. 42, 1969, p. 1139. | MR

E.N. Glass, J. Math. Phys., t. 20, 1979, p. 1508.

E.N. Glass and B. Mashhoon, Astrophys. J., t. 205, 1976, p. 570.

E.L. Ince, Ordinary Differential Equations, Dover, 1956 (a) Sec. 14.314, Sub-case i(d), items 1° and 3° ; (b) Sec. 14.314, Sub-case i(d), item 5°(β); (c) p. 87. | MR | Zbl

E. Kamke, Differential-gleichungen: Losungsmethoden und Losungen, Chelsea, 1971, New York, p. 548-549.

H. Knutsen and R. Stabell, Ann. Inst. Henri Poincaré, t. 31, 1979, p. 339. Eqs. (27) and (30). | Numdam | MR

D. Kramer, H. Stephani, M. Maccallum, E. Herlt, Exact Solutions of Einstein's Field Equations. VEB Deut. Verlag der Wiss., Berlin, 1980. Camb. Univ. Press, p. 167-168. | MR | Zbl

P. Kustaanheimo and B. Qvist, Comment. Phys. Math. Helsingf., t. 13, 1948, p. 12. | MR

G.C. Mcvittie, Mon. Not. R. astr. Soc., t. 93, 1933, p. 325 (McV33). | JFM | Zbl

G.C. Mcvittie, Astrophys. J., t. 143, 1966, p. 682 (McV66).

G.C. Mcvittie, Ann. Inst. Henri Poincaré, t. 6, 1967, p. 1 (McV67). | Numdam

G.C. Mcvittie, Comm. Roy. Soc. Edin. (Phys. Sci.), n° 16, 1979.

G.C. Mcvittie and R. Stabell, Ann. Inst. Henri Poincaré, t. 7, 1967, p. 103. Eqs. (19) and (20). | Numdam | Zbl

G.C. Mcvittie and R. Stabell, Ann. Inst. Henri Poincaré, t. 9, 1968, p. 371. | Numdam

H. Nariai, Prog. Theor. Phys., t. 38, 1967, p. 92 and 740.

A.K. Raychaudhuri, Theoretical Cosmology. Clarendon Press, Oxford, 1979, p. 96-97. | Zbl

I.H. Thompson and G.J. Whitrow, Mon. Not. R. astr. Soc., t. 136, 1967-1968, p. 207 and t. 139, p. 499. | Zbl

E.T. Whittaker and G.N. Watson, A course of Modern Analysis. 3rd Ed. Camb. Univ. Press, 1920, Sec. 20.31. | JFM | MR