Investigations of space‐times with four‐parameter groups of motions acting on null hypersurfaces

1977 ◽  
Vol 18 (5) ◽  
pp. 885-888 ◽  
Author(s):  
W. T. Lauten ◽  
J. R. Ray
Keyword(s):  
Null Hypersurfaces

Null hypersurfaces and new variables

1992 ◽  
Vol 9 (5) ◽  
pp. 1309-1328 ◽  
Author(s):  
J N Goldberg ◽  
D C Robinson ◽  
C Soteriou
Keyword(s):  
Null Hypersurfaces ◽  
New Variables

scholarly journals A 3+1 perspective on null hypersurfaces and isolated horizons

2006 ◽  
Vol 423 (4-5) ◽  
pp. 159-294 ◽  
Author(s):  
Eric Gourgoulhon ◽  
José Luis Jaramillo
Keyword(s):  
Null Hypersurfaces ◽  
Isolated Horizons

Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations

1990 ◽  
Vol 427 (1872) ◽  
pp. 221-239 ◽  
Keyword(s):  
Cauchy Problem ◽  
Perfect Fluid ◽  
Initial Value Problem ◽  
Einstein Equations ◽  
Initial Value ◽  
Fluid Source ◽  
Null Hypersurfaces ◽  
The Cauchy Problem ◽  
Well Posed ◽  
Characteristic Initial Value Problem

A method is described by means of which the characteristic initial value problem can be reduced to the Cauchy problem and examples are given of how it can be used in practice. As an application it is shown that the characteristic initial value problem for the Einstein equations in vacuum or with perfect fluid source is well posed when data are given on two transversely intersecting null hypersurfaces. A new discussion is given of the freely specifiable data for this problem.

Chen-like inequalities on null hypersurfaces with closed rigging of a Lorentzian manifold

2021 ◽  
pp. 2150125
Author(s):  
Amrinder Pal Singh ◽  
Cyriaque Atindogbe ◽  
Rakesh Kumar ◽  
Varun Jain
Keyword(s):  
Scalar Curvature ◽  
Space Form ◽  
Lorentzian Manifold ◽  
Null Hypersurface ◽  
Lorentzian Space ◽  
Null Hypersurfaces

We study null hypersurfaces of a Lorentzian manifold with a closed rigging for the hypersurface. We derive inequalities involving Ricci tensors, scalar curvature, squared mean curvatures for a null hypersurface with a closed rigging of a Lorentzian space form and for a screen homothetic null hypersurface of a Lorentzian manifold. We also establish a generalized Chen–Ricci inequality for a screen homothetic null hypersurface of a Lorentzian manifold with a closed rigging for the hypersurface.

Supertranslations in flat space-time

1966 ◽  
Vol 62 (2) ◽  
pp. 269-276 ◽  
Author(s):  
M. Crampin ◽  
J. Foster
Keyword(s):  
Flat Space ◽  
Space Time ◽  
Null Hypersurfaces

AbstractThis paper contains the derivation of a metric for flat space-time associated with the supertranslations of the Bondi-Metzner group, and a description of the geometry of the null hypersurfaces on which the metric is based.

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