Some spherical gravitational waves in general relativity
Tóm tắt
Einstein's equations for empty space are solved for the class of metrics which admit a family of hypersurface-orthogonal, non-shearing, diverging null curves. Some of these metrics may be considered as representing a simple kind of spherical, outgoing radiation. (Among them are solutions admitting no Killing field whatsoever.) Examples of solutions to the Maxwell-Einstein equations with a similar geometry are also given.
Từ khóa
Tài liệu tham khảo
D eb ev er R . 1959 C.R. A cad. Sci. P aris 249 1324 1744.
G oldberg J . N . & Sachs R . K . 1961 (In p re p a ra tio n .)
N ew m an E . T . & T am b u rin o L . A. 1961 J . M a th . P h ys. (in th e P ress).
P en ro se R . i960 A n n . of Phys. 10 171.
R o b in so n I. 1959 R e p o rt to th e R o y a u m o n t Conference.
1961, J . M ath, Phys., 2, 290
R o b in so n I. & T ra n tm a n A. i960 Phys. Rev. Lett. 4 431.
1944, J . Lond. M ath, Soc., 19, 168
Sachs R ., 1961, Proc. Roy, Soc. A, 264, 309
1958, Bull. Acad. Polon. Sci., 6, 407