The gravitational field equations for a spherical symmetric perfect fluid are completely solved. The general analytical solution obtained depends on an arbitrary function of the radial coordinate. As illustrations of the proposed procedure the exterior and interior Schwarzschild solutions are regained.

Topics
Einstein field equations, Einstein Maxwell equations
1.
R.
Hojman
 and
J.
Santamarina
,
J. Math. Phys.
25
,
1973
(
1984
).
Google Scholar
Crossref
Search ADS
 
2.
C.
Collins
,
J. Math. Phys.
26
,
2268
(
1985
).
Google Scholar
Crossref
Search ADS
 
3.
R.
Tabensky
 and
A. H.
Taub
,
Commun. Math. Phys.
29
,
61
(
1973
).
Google Scholar
Crossref
Search ADS
 
4.
A. F.
da
,
F.
Teixeira
,
I.
Wolk
, and
M. M.
Som
,
J. Phys. A
10
,
1679
(
1977
).
Google Scholar
 
5.
P. Gaete, M.Sc. Thesis, U. de Chile, 1987 (unpublished).
6.
K. Schwarzschild, Sitzungsber. Preuss. Akad. Wiss. 1919, 424.
7.
R. C.
Tolman
,
Phys. Rev.
55
,
364
(
1939
).
Google Scholar
Crossref
Search ADS
 
8.
D. Kramer, H. Stephani, M. MacCallum, and E. Hertl, Exact Solutions of Einstein’s Field Equations (Cambridge U.P. Cambridge, 1980).
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© 1987 American Institute of Physics.
1987
American Institute of Physics
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