LORENTZIAN METRICS FROM CHARACTERISTIC SURFACES

被引:36
作者
FRITTELLI, S [1 ]
KOZAMEH, C [1 ]
NEWMAN, ET [1 ]
机构
[1] UNIV NACL CORDOBA,RA-5000 CORDOBA,ARGENTINA
关键词
D O I
10.1063/1.531209
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The following issue is raised and discussed; when do families of foliations by hypersurfaces on a given four-dimensional manifold without further structure become the null surfaces of some unknown, but to be determined, metric g(ab)(x). Explicit conditions for these surfaces are found, so that they do define a unique conformal metric with the surfaces themselves being characteristics of that metric. By giving an additional function (to be the conformal factor), full knowledge of the metric is determined. It is clear from these results that one can use these surfaces (and the conformal factor) as fundamental variables for describing any Lorentzian geometry and in particular for its use in general relativity. (C) 1995 American Institute of Physics.
引用
收藏
页码:4975 / 4983
页数:9
相关论文
共 5 条
[1]   GR VIA CHARACTERISTIC SURFACES [J].
FRITTELLI, S ;
KOZAMEH, C ;
NEWMAN, ET .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (09) :4984-5004
[2]   LINEARIZED EINSTEIN THEORY VIA NULL SURFACES [J].
FRITTELLI, S ;
KOZAMEH, CN ;
NEWMAN, ET .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (09) :5005-5022
[3]   HOLONOMY AND THE EINSTEIN EQUATIONS [J].
KOZAMEH, C ;
LAMBERTI, W ;
NEWMAN, ET .
ANNALS OF PHYSICS, 1991, 206 (01) :193-220
[4]   THEORY OF LIGHT-CONE CUTS OF NULL INFINITY [J].
KOZAMEH, CN ;
NEWMAN, ET .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (10) :2481-2489
[5]   THE VACUUM AND BACH EQUATIONS IN TERMS OF LIGHT-CONE CUTS [J].
MASON, LJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (07) :3704-3721