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

scholarly journals Time-Dependent Evolving Null Horizons of a Dynamical Spacetime

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
K. L. Duggal
Keyword(s):  
Black Hole ◽  
Energy Condition ◽  
Physical Models ◽  
Open Problems ◽  
Totally Umbilical ◽  
Unique Existence ◽  
Null Hypersurfaces ◽  
Isolated Horizons ◽  
Black Hole Spacetime ◽  
General Existence

Totally geodesic null hypersurfaces have been widely used in the study of isolated black holes. In this paper, we introduce a new quasilocal notion of a family of totally umbilical null hypersurfaces called evolving null horizons (ENH) of a dynamical spacetime, satisfied under an appropriate energy condition. We focus on a variety of examples of ENHs and in some cases establish their relation with event and isolated horizons. We also present two specific physical models of an ENH in a black hole spacetime. Beside the examples, for further study we propose two open problems on possible general existence of an ENH in a black hole spacetime and its canonical or unique existence. The results of this paper have ample scope of working on totally umbilical null hypersurfaces of Lorentzian and, in general, semiRiemannian manifolds.

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 Scalar hairy black holes and scalarons in the isolated horizons formalism

2006 ◽  
Vol 73 (8) ◽  
Author(s):  
Alejandro Corichi ◽  
Ulises Nucamendi ◽  
Marcelo Salgado
Keyword(s):  
Black Holes ◽  
Isolated Horizons ◽  
Hairy Black Holes

scholarly journals Quantum geometry of isolated horizons and black hole entropy

2000 ◽  
Vol 4 (1) ◽  
pp. 1-94 ◽  
Author(s):  
Abhay Ashtekar ◽  
John C. Baez ◽  
Kirill Krasnov
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Quantum Geometry ◽  
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.

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