Hamiltonian function describing a system composed of gravitating shells in general relativity is derived from general considerations and its dynamics is presented. The results appear to be promising for the description of colliding system of astrophysical and cosmological interest.
REFERENCES
1.
W.
Israel
, Nuovo Cimento B
44
, 1
(1966
);W.
Israel
, Phys. Rev.
153
, 1388
(1967
).2.
J.
Kijowski
, G.
Magli
, and D.
Malafarina
, Gen. Relativ. Gravit.
38
, 1697
(2006
).3.
P.
Hájíček
, B. S.
Kay
, and K.
Kuchař
, Phys. Rev. D
46
, 5439
(1992
).4.
5.
J.
Jezierski
, J.
Kijowski
, and E.
Czuchry
, Phys. Rev. D
65
, 064036
(2002
).6.
J.
Kijowski
, G.
Magli
, and D.
Malafarina
, Phys. Rev. D
74
, 084017
(2006
).7.
K.
Nakao
, D.
Ida
, and N.
Sugiura
, Prog. Theor. Phys.
101
, 47
(1999
).8.
J.
Kijowski
and G.
Magli
, J. Geom. Phys.
9
, 207
(1992
).9.
P.
Hájíček
and J.
Kijowski
, Phys. Rev. D
62
, 044025
(2000
).10.
J.
Kijowski
and E.
Czuchry
, Phys. Rev. D
72
, 084015
(2005
).11.
J.
Jezierski
, J. Math. Phys.
44
, 641
(2003
).12.
J.
Kijowski
, Gen. Relativ. Gravit.
29
, 307
(1997
).13.
P.
Hájíček
and J.
Kijowski
, Phys. Rev. D
57
, 914
(1998
).© 2010 American Institute of Physics.
2010
American Institute of Physics
You do not currently have access to this content.
