Elliptic functions in spherically symmetric solutions of Einstein's equations
McVittie, G. C.
Annales de l'I.H.P. Physique théorique, Tome 41 (1984), p. 235-271 / Harvested from Numdam
Publié le : 1984-01-01
@article{AIHPA_1984__40_3_235_0,
     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},
     volume = {41},
     year = {1984},
     pages = {235-271},
     mrnumber = {770083},
     zbl = {0575.53046},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1984__40_3_235_0}
}
McVittie, G. C. Elliptic functions in spherically symmetric solutions of Einstein's equations. Annales de l'I.H.P. Physique théorique, Tome 41 (1984) pp. 235-271. http://gdmltest.u-ga.fr/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 0165.29401

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 250642

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 10757 | Zbl 0063.02971

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 574138

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 614593 | Zbl 0449.53018

P. Kustaanheimo and B. Qvist, Comment. Phys. Math. Helsingf., t. 13, 1948, p. 12. | MR 29304

G.C. Mcvittie, Mon. Not. R. astr. Soc., t. 93, 1933, p. 325 (McV33). | JFM 59.1520.02 | Zbl 0007.08404

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 0158.46503

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 0443.53048

I.H. Thompson and G.J. Whitrow, Mon. Not. R. astr. Soc., t. 136, 1967-1968, p. 207 and t. 139, p. 499. | Zbl 0162.59401

E.T. Whittaker and G.N. Watson, A course of Modern Analysis. 3rd Ed. Camb. Univ. Press, 1920, Sec. 20.31. | JFM 47.0190.17 | MR 1424469